On Types of Solutions of the Second Order Nonlinear Boundary Value Problems

We review the results concerning types of solutions of boundary value problems for the second order nonlinear equation (l2x)(t)=f(t,x,x′), where (l2x)(t) is the second order linear differential form. The existence results and the multiplicity results are stated in terms of types of solutions.

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Main Authors: Maria Dobkevich, Felix Sadyrbaev, Nadezhda Sveikate, Inara Yermachenko
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/594931
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author Maria Dobkevich
Felix Sadyrbaev
Nadezhda Sveikate
Inara Yermachenko
author_facet Maria Dobkevich
Felix Sadyrbaev
Nadezhda Sveikate
Inara Yermachenko
author_sort Maria Dobkevich
collection DOAJ
description We review the results concerning types of solutions of boundary value problems for the second order nonlinear equation (l2x)(t)=f(t,x,x′), where (l2x)(t) is the second order linear differential form. The existence results and the multiplicity results are stated in terms of types of solutions.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-dc370bd26df74acdba739a62281d59292025-02-03T01:02:15ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/594931594931On Types of Solutions of the Second Order Nonlinear Boundary Value ProblemsMaria Dobkevich0Felix Sadyrbaev1Nadezhda Sveikate2Inara Yermachenko3Institute of Mathematics and Computer Science, Rainis Boulevard 29, Riga LV-1459, LatviaInstitute of Mathematics and Computer Science, Rainis Boulevard 29, Riga LV-1459, LatviaDaugavpils University, Parades Street 1, Daugavpils LV-5400, LatviaDaugavpils University, Parades Street 1, Daugavpils LV-5400, LatviaWe review the results concerning types of solutions of boundary value problems for the second order nonlinear equation (l2x)(t)=f(t,x,x′), where (l2x)(t) is the second order linear differential form. The existence results and the multiplicity results are stated in terms of types of solutions.http://dx.doi.org/10.1155/2014/594931
spellingShingle Maria Dobkevich
Felix Sadyrbaev
Nadezhda Sveikate
Inara Yermachenko
On Types of Solutions of the Second Order Nonlinear Boundary Value Problems
Abstract and Applied Analysis
title On Types of Solutions of the Second Order Nonlinear Boundary Value Problems
title_full On Types of Solutions of the Second Order Nonlinear Boundary Value Problems
title_fullStr On Types of Solutions of the Second Order Nonlinear Boundary Value Problems
title_full_unstemmed On Types of Solutions of the Second Order Nonlinear Boundary Value Problems
title_short On Types of Solutions of the Second Order Nonlinear Boundary Value Problems
title_sort on types of solutions of the second order nonlinear boundary value problems
url http://dx.doi.org/10.1155/2014/594931
work_keys_str_mv AT mariadobkevich ontypesofsolutionsofthesecondordernonlinearboundaryvalueproblems
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AT nadezhdasveikate ontypesofsolutionsofthesecondordernonlinearboundaryvalueproblems
AT inarayermachenko ontypesofsolutionsofthesecondordernonlinearboundaryvalueproblems