An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales

In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results belong to Máté and Nevai’s and Agarwal and Bohne...

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Published inAxioms Vol. 14; no. 4; p. 270
Main Authors Yuan, Yuan, Ma, Qinghua
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 02.04.2025
Subjects
asymptotic behavior
Asymptotic expansions
Asymptotic properties
Dynamical systems
Gronwall–Bihari-type dynamic inequality
high-order dynamic equations
Inequality
Mathematical research
Nonlinear dynamics
Nonlinear theories
Ordinary differential equations
Time
time scales
China
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Abstract In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results belong to Máté and Nevai’s and Agarwal and Bohner’s, respectively.
AbstractList In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results belong to Máté and Nevai’s and Agarwal and Bohner’s, respectively.
Audience Academic
Author Ma, Qinghua
Yuan, Yuan
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Cites_doi 10.1016/j.camwa.2009.11.006
10.1016/j.jmaa.2011.04.077
10.1016/j.aml.2013.06.007
10.1007/978-3-319-47620-9
10.1515/anly-2018-0003
10.1016/0022-0396(84)90041-X
10.1080/10236190802213276
10.1007/978-1-4612-0201-1
10.7153/jmi-02-16
10.1007/BF03323153
10.1002/zamm.200410219
10.1016/j.camwa.2010.09.001
10.1007/978-0-8176-8230-9
10.1016/j.cam.2005.11.038
10.1007/BF03322019
ContentType Journal Article
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StartPage 270
SubjectTerms asymptotic behavior
Asymptotic expansions
Asymptotic properties
Dynamical systems
Gronwall–Bihari-type dynamic inequality
high-order dynamic equations
Inequality
Mathematical research
Nonlinear dynamics
Nonlinear theories
Ordinary differential equations
Time
time scales
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Title An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales
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