On Three-Point Boundary Value Problem

Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are conside...

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Published inMathematical modelling and analysis Vol. 21; no. 2; pp. 270 - 281
Main Author Sveikate, Nadezhda
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.03.2016
Vilnius Gediminas Technical University
Subjects
Boundary value problems
Differential equations
Existence theorems
Mathematical analysis
Mathematical models
Mathematical research
Modelling
Nonlinear differential equations
nonlinear three-point boundary value problem
Nonlinearity
quasilinea-rization process
quasilinearization process
resonant problem
resonant problem
nonlinear three-point boundary value problem
quasilinearization process
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Abstract Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are considered to demonstrate our results.
AbstractList Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are considered to demonstrate our results.
Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach. As an application, the Emden-Fowler type problems with nonresonant and resonant linear parts are considered to demonstrate our results.Keywords: nonlinear three-point boundary value problem, resonant problem, quasilinearization process.AMS Subject Classification: 34B15; 34B10.
Audience Academic
Author Sveikate, Nadezhda
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Keywords resonant problem
nonlinear three-point boundary value problem
quasilinearization process
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SubjectTerms Boundary value problems
Differential equations
Existence theorems
Mathematical analysis
Mathematical models
Mathematical research
Modelling
Nonlinear differential equations
nonlinear three-point boundary value problem
Nonlinearity
quasilinea-rization process
quasilinearization process
resonant problem
Title On Three-Point Boundary Value Problem
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