STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS
In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to i...
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| Published in | Acta mathematica scientia Vol. 34; no. 4; pp. 1055 - 1071 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.2014
Department of Mathematics, Annapoorana Engineering College, Salem-636308, Tamil Nadu, India%Department of Mathematics, Arupadai Veedu Institute of Technology, Chennai-636104, Tamil Nadu, India%Department of Mathematics, PSG College of Technology, Coimbatore-641004, Tamil Nadu, India |
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| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(14)60069-2 |
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| Abstract | In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. |
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| AbstractList | In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations un-der sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. |
| Author | M. GOWRISANKAR P. MOHANKUMAR A. VINODKUMAR |
| AuthorAffiliation | Department of Mathematics, Annapoorana Engineering College, Salem-636308, Tamil Nadu, India Department of Mathematics, Arupadai Veedu Institute of Technology, Chennai-636104, Tamil Nadu, India Department of Mathematics, PSG College of Technology, Coimbatore-641004, Tamil Nadu, India |
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| Cites_doi | 10.1063/1.3397461 10.1016/j.camwa.2012.02.057 10.1007/s10255-004-0157-z 10.1016/j.aml.2004.06.015 10.15352/afa/1399899934 10.1007/s10255-006-0336-1 10.1016/j.jmaa.2006.09.043 10.1016/j.jmaa.2007.11.019 10.1016/j.cnsns.2011.09.030 10.1016/j.na.2010.07.007 10.1016/j.camwa.2006.04.026 10.1016/j.jmaa.2012.05.040 10.1016/j.camwa.2004.12.009 10.1016/j.nahs.2009.11.004 10.1073/pnas.27.4.222 10.1016/j.nahs.2011.04.002 10.1016/j.camwa.2012.02.021 10.1080/00036810701354995 |
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| Keywords | 60H99 35R60 Hyers-Ulam-Rassias stability 35B35 35R12 random impulses semilinear differential equations Hyers-Ulam stability stability exponential stability contraction principle stability,Hyers-Ulam sta-bility contraction princi-ple |
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| Notes | In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results. 42-1227/O semilinear differential equations; random impulses; stability, Hyers-Ulam stability; Hyers-Ulam-Rassias stability; exponential stability; contraction principle ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
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| References | Vinodkumar (bib15) 2012; 1 Da Prato, Zabczyk (bib29) 1992 Samoilenko, Perestyuk (bib2) 1995 Zhang, Sun (bib16) 2013; 2013 Lakshmikantham, Bainov, Simeonov (bib1) 1989 Sakthivel, Ren, Kim (bib19) 2010; 51 Burton, Zhang (bib27) 2004; 17 Burton (bib17) 2006 Wang, Lv, Zhou (bib21) 2011; 63 Wang, Zhou, Fečkan (bib24) 2012; 64 Wu, Guo, Lin (bib7) 2006; 22 Ulam (bib20) 1968 Fu (bib31) 2009; 2009 Vinodkumar, Anguraj (bib13) 2011; 5 Wu, Guo, Zhou (bib8) 2006; 52 Anguraj, Vinodkumar (bib11) 2010; 4 Vinodkumar (bib14) 2012; 3 Pazy (bib30) 1983 Anguraj, Arjunan, Hernández (bib3) 2007; 86 Hyers (bib18) 1941; 27 Anguraj, Vinodkumar (bib12) 2009; 8 Wang, Lv, Zhou (bib22) 2012; 17 Anguraj, Wu, Vinodkumar (bib10) 2011; 74 Hernández, Rabello, Henriquez (bib4) 2007; 331 Wu, Duan (bib6) 2005; 49 Wei, Li, Li (bib23) 2012; 64 Li, Wang (bib26) 2013; 2013 Wu, Guo, Zhai (bib9) 2008; 15 Wu, Meng (bib5) 2004; 20 Wang, Fečkan, Zhou (bib25) 2012; 395 Luo (bib28) 2008; 342 Wu (10.1016/S0252-9602(14)60069-2_bib8) 2006; 52 Wu (10.1016/S0252-9602(14)60069-2_bib7) 2006; 22 Wang (10.1016/S0252-9602(14)60069-2_bib25) 2012; 395 Wu (10.1016/S0252-9602(14)60069-2_bib9) 2008; 15 Zhang (10.1016/S0252-9602(14)60069-2_bib16) 2013; 2013 Vinodkumar (10.1016/S0252-9602(14)60069-2_bib14) 2012; 3 Hyers (10.1016/S0252-9602(14)60069-2_bib18) 1941; 27 Vinodkumar (10.1016/S0252-9602(14)60069-2_bib13) 2011; 5 Wang (10.1016/S0252-9602(14)60069-2_bib22) 2012; 17 Burton (10.1016/S0252-9602(14)60069-2_bib27) 2004; 17 Wei (10.1016/S0252-9602(14)60069-2_bib23) 2012; 64 Samoilenko (10.1016/S0252-9602(14)60069-2_bib2) 1995 Da Prato (10.1016/S0252-9602(14)60069-2_bib29) 1992 Lakshmikantham (10.1016/S0252-9602(14)60069-2_bib1) 1989 Vinodkumar (10.1016/S0252-9602(14)60069-2_bib15) 2012; 1 Fu (10.1016/S0252-9602(14)60069-2_bib31) 2009; 2009 Anguraj (10.1016/S0252-9602(14)60069-2_bib3) 2007; 86 Wang (10.1016/S0252-9602(14)60069-2_bib24) 2012; 64 Sakthivel (10.1016/S0252-9602(14)60069-2_bib19) 2010; 51 Anguraj (10.1016/S0252-9602(14)60069-2_bib12) 2009; 8 Anguraj (10.1016/S0252-9602(14)60069-2_bib10) 2011; 74 Pazy (10.1016/S0252-9602(14)60069-2_bib30) 1983 Hernández (10.1016/S0252-9602(14)60069-2_bib4) 2007; 331 Ulam (10.1016/S0252-9602(14)60069-2_bib20) 1968 Li (10.1016/S0252-9602(14)60069-2_bib26) 2013; 2013 Luo (10.1016/S0252-9602(14)60069-2_bib28) 2008; 342 Wang (10.1016/S0252-9602(14)60069-2_bib21) 2011; 63 Wu (10.1016/S0252-9602(14)60069-2_bib6) 2005; 49 Wu (10.1016/S0252-9602(14)60069-2_bib5) 2004; 20 Burton (10.1016/S0252-9602(14)60069-2_bib17) 2006 Anguraj (10.1016/S0252-9602(14)60069-2_bib11) 2010; 4 |
| References_xml | – volume: 64 start-page: 3389 year: 2012 end-page: 3405 ident: bib24 article-title: Nonlinear impulsive problems for fractional differential equations and Ulam stability publication-title: Comput Math Appl – volume: 17 start-page: 2530 year: 2012 end-page: 2538 ident: bib22 article-title: New concepts and results in stability of fractional differential equations publication-title: Commun Nonlinear Sci Numer Simul – volume: 86 start-page: 861 year: 2007 end-page: 872 ident: bib3 article-title: Existence results for an impulsive partial neutral functional differential equations with state-dependent delay publication-title: Appl Anal – volume: 331 start-page: 1135 year: 2007 end-page: 1158 ident: bib4 article-title: Existence of solutions for impulsive partial neutral functional differential equations publication-title: J Math Anal Appl – volume: 1 start-page: 813 year: 2012 ident: bib15 article-title: Existence and uniqueness of solutions for random impulsive differential equation publication-title: Malaya J Mat – volume: 2009 start-page: 1 year: 2009 end-page: 27 ident: bib31 article-title: Existence and stability of solutions for nonautonomous stochastic functional evolution equations publication-title: J Ineq Appl – year: 1989 ident: bib1 publication-title: Theory of Impulsive Differential Equations – volume: 17 start-page: 839 year: 2004 end-page: 846 ident: bib27 article-title: Fixed points and Stability of an integral equation: non uniqueness publication-title: Appl Math Lett – volume: 64 start-page: 3468 year: 2012 end-page: 3476 ident: bib23 article-title: New stability results for fractional integral equation publication-title: Comput Math Appl – volume: 51 start-page: 052701 year: 2010 ident: bib19 article-title: Asymptotic stability of second-order neutral stochastic differential equations publication-title: J Math Phys – volume: 3 start-page: 89 year: 2012 end-page: 106 ident: bib14 article-title: Existence results on random impulsive semilinear functional differential inclusions with delays publication-title: Ann Funct Anal – year: 1992 ident: bib29 publication-title: Stochastic Equations in Infinite Dimensions – volume: 5 start-page: 413 year: 2011 end-page: 426 ident: bib13 article-title: Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays publication-title: Nonlinear Anal Hybrid Syst – volume: 52 start-page: 1683 year: 2006 end-page: 1694 ident: bib8 article-title: p-moment stability of functional differential equations with random impulses publication-title: Comput Mathe Appl – volume: 8 start-page: 412 year: 2009 end-page: 418 ident: bib12 article-title: Existence and uniqueness of neutral functional differential equations with random impulses publication-title: Int J Nonlinear Sci – volume: 74 start-page: 331 year: 2011 end-page: 342 ident: bib10 article-title: Existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness publication-title: Nonlinear Anal TMA – volume: 2013 start-page: 403 year: 2013 end-page: 415 ident: bib16 article-title: Stability analysis of second-order differential systems with Erlang distribution random impulses publication-title: Adv Differ Equ – volume: 63 start-page: 1 year: 2011 end-page: 10 ident: bib21 article-title: Ulam stability and data dependence for fractional differential equations with Caputo derivative publication-title: Electron J Qual Theory Differ Equ – volume: 27 start-page: 222 year: 1941 end-page: 224 ident: bib18 article-title: On the stability of the linear functional equation publication-title: Proc Nat Acad Sci – volume: 395 start-page: 258 year: 2012 end-page: 264 ident: bib25 article-title: Ulam's type stability of impulsive ordinary differential equations publication-title: J Math Anal Appl – volume: 20 start-page: 147 year: 2004 end-page: 154 ident: bib5 article-title: Boundedness of nonlinear differential systems with impulsive effect on random moments publication-title: Acta Math Appl Sin – volume: 22 start-page: 595 year: 2006 end-page: 600 ident: bib7 article-title: Existence and uniqueness of solutions to random impulsive differential systems publication-title: Acta Math Appl Sin – year: 1968 ident: bib20 publication-title: A Collection of Mathematical Problems – volume: 2013 start-page: 1 year: 2013 end-page: 8 ident: bib26 article-title: Ulam-Hyers-Rassias stability of semilinear differential equations with impulses publication-title: Electron J Diff Equ – year: 2006 ident: bib17 publication-title: Stability by Fixed Point Theory for Functional Differential Equations – volume: 342 start-page: 753 year: 2008 end-page: 760 ident: bib28 article-title: Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays publication-title: J Math Anal Appl – year: 1995 ident: bib2 publication-title: Impulsive Differential Equations – volume: 49 start-page: 1375 year: 2005 end-page: 1386 ident: bib6 article-title: Oscillation, stability, and boundedness of second-order differential systems with random impulses publication-title: Comput Math Appl – volume: 4 start-page: 475 year: 2010 end-page: 483 ident: bib11 article-title: Existence, uniqueness and stability results of random impulsive semilinear differential systems publication-title: Nonlinear Anal Hybrid Syst – volume: 15 start-page: 403 year: 2008 end-page: 415 ident: bib9 article-title: Almost sure stability of functional differential equations with random impulses publication-title: DCDIS, Series A: Math Anal – year: 1983 ident: bib30 publication-title: Semigroups of Linear Operators and Applications to Partial Differential Equations – year: 1989 ident: 10.1016/S0252-9602(14)60069-2_bib1 – volume: 1 start-page: 813 issue: 1 year: 2012 ident: 10.1016/S0252-9602(14)60069-2_bib15 article-title: Existence and uniqueness of solutions for random impulsive differential equation publication-title: Malaya J Mat – volume: 63 start-page: 1 year: 2011 ident: 10.1016/S0252-9602(14)60069-2_bib21 article-title: Ulam stability and data dependence for fractional differential equations with Caputo derivative publication-title: Electron J Qual Theory Differ Equ – volume: 8 start-page: 412 issue: 4 year: 2009 ident: 10.1016/S0252-9602(14)60069-2_bib12 article-title: Existence and uniqueness of neutral functional differential equations with random impulses publication-title: Int J Nonlinear Sci – volume: 51 start-page: 052701 year: 2010 ident: 10.1016/S0252-9602(14)60069-2_bib19 article-title: Asymptotic stability of second-order neutral stochastic differential equations publication-title: J Math Phys doi: 10.1063/1.3397461 – volume: 64 start-page: 3468 year: 2012 ident: 10.1016/S0252-9602(14)60069-2_bib23 article-title: New stability results for fractional integral equation publication-title: Comput Math Appl doi: 10.1016/j.camwa.2012.02.057 – volume: 20 start-page: 147 issue: 1 year: 2004 ident: 10.1016/S0252-9602(14)60069-2_bib5 article-title: Boundedness of nonlinear differential systems with impulsive effect on random moments publication-title: Acta Math Appl Sin doi: 10.1007/s10255-004-0157-z – year: 1968 ident: 10.1016/S0252-9602(14)60069-2_bib20 – volume: 17 start-page: 839 year: 2004 ident: 10.1016/S0252-9602(14)60069-2_bib27 article-title: Fixed points and Stability of an integral equation: non uniqueness publication-title: Appl Math Lett doi: 10.1016/j.aml.2004.06.015 – volume: 2013 start-page: 1 issue: 172 year: 2013 ident: 10.1016/S0252-9602(14)60069-2_bib26 article-title: Ulam-Hyers-Rassias stability of semilinear differential equations with impulses publication-title: Electron J Diff Equ – year: 1995 ident: 10.1016/S0252-9602(14)60069-2_bib2 – volume: 3 start-page: 89 issue: 2 year: 2012 ident: 10.1016/S0252-9602(14)60069-2_bib14 article-title: Existence results on random impulsive semilinear functional differential inclusions with delays publication-title: Ann Funct Anal doi: 10.15352/afa/1399899934 – volume: 15 start-page: 403 year: 2008 ident: 10.1016/S0252-9602(14)60069-2_bib9 article-title: Almost sure stability of functional differential equations with random impulses publication-title: DCDIS, Series A: Math Anal – volume: 22 start-page: 595 issue: 4 year: 2006 ident: 10.1016/S0252-9602(14)60069-2_bib7 article-title: Existence and uniqueness of solutions to random impulsive differential systems publication-title: Acta Math Appl Sin doi: 10.1007/s10255-006-0336-1 – volume: 331 start-page: 1135 year: 2007 ident: 10.1016/S0252-9602(14)60069-2_bib4 article-title: Existence of solutions for impulsive partial neutral functional differential equations publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2006.09.043 – volume: 342 start-page: 753 year: 2008 ident: 10.1016/S0252-9602(14)60069-2_bib28 article-title: Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2007.11.019 – volume: 2013 start-page: 403 issue: 4 year: 2013 ident: 10.1016/S0252-9602(14)60069-2_bib16 article-title: Stability analysis of second-order differential systems with Erlang distribution random impulses publication-title: Adv Differ Equ – volume: 17 start-page: 2530 year: 2012 ident: 10.1016/S0252-9602(14)60069-2_bib22 article-title: New concepts and results in stability of fractional differential equations publication-title: Commun Nonlinear Sci Numer Simul doi: 10.1016/j.cnsns.2011.09.030 – volume: 74 start-page: 331 year: 2011 ident: 10.1016/S0252-9602(14)60069-2_bib10 article-title: Existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness publication-title: Nonlinear Anal TMA doi: 10.1016/j.na.2010.07.007 – year: 1992 ident: 10.1016/S0252-9602(14)60069-2_bib29 – volume: 2009 start-page: 1 year: 2009 ident: 10.1016/S0252-9602(14)60069-2_bib31 article-title: Existence and stability of solutions for nonautonomous stochastic functional evolution equations publication-title: J Ineq Appl – volume: 52 start-page: 1683 year: 2006 ident: 10.1016/S0252-9602(14)60069-2_bib8 article-title: p-moment stability of functional differential equations with random impulses publication-title: Comput Mathe Appl doi: 10.1016/j.camwa.2006.04.026 – volume: 395 start-page: 258 year: 2012 ident: 10.1016/S0252-9602(14)60069-2_bib25 article-title: Ulam's type stability of impulsive ordinary differential equations publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2012.05.040 – year: 2006 ident: 10.1016/S0252-9602(14)60069-2_bib17 – volume: 49 start-page: 1375 issue: 9/10 year: 2005 ident: 10.1016/S0252-9602(14)60069-2_bib6 article-title: Oscillation, stability, and boundedness of second-order differential systems with random impulses publication-title: Comput Math Appl doi: 10.1016/j.camwa.2004.12.009 – volume: 4 start-page: 475 issue: 3 year: 2010 ident: 10.1016/S0252-9602(14)60069-2_bib11 article-title: Existence, uniqueness and stability results of random impulsive semilinear differential systems publication-title: Nonlinear Anal Hybrid Syst doi: 10.1016/j.nahs.2009.11.004 – volume: 27 start-page: 222 year: 1941 ident: 10.1016/S0252-9602(14)60069-2_bib18 article-title: On the stability of the linear functional equation publication-title: Proc Nat Acad Sci doi: 10.1073/pnas.27.4.222 – volume: 5 start-page: 413 year: 2011 ident: 10.1016/S0252-9602(14)60069-2_bib13 article-title: Existence of random impulsive abstract neutral non-autonomous differential inclusions with delays publication-title: Nonlinear Anal Hybrid Syst doi: 10.1016/j.nahs.2011.04.002 – year: 1983 ident: 10.1016/S0252-9602(14)60069-2_bib30 – volume: 64 start-page: 3389 year: 2012 ident: 10.1016/S0252-9602(14)60069-2_bib24 article-title: Nonlinear impulsive problems for fractional differential equations and Ulam stability publication-title: Comput Math Appl doi: 10.1016/j.camwa.2012.02.021 – volume: 86 start-page: 861 issue: 7 year: 2007 ident: 10.1016/S0252-9602(14)60069-2_bib3 article-title: Existence results for an impulsive partial neutral functional differential equations with state-dependent delay publication-title: Appl Anal doi: 10.1080/00036810701354995 |
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| Snippet | In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax... In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear... |
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| SubjectTerms | 35B35 35R12 35R60 60H99 contraction principle Differential equations exponential stability Hyers-Ulam stability Hyers-Ulam-Rassias stability Mapping random impulses semilinear differential equations Stability Uniqueness 半线性微分方程 压缩映射原理 应用程序 指数稳定性 随机脉冲 |
| Title | STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS |
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