Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign
We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples...
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Vilnius Gediminas Technical University
2014-04-01
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doaj-417d67c770a644299d26372f3b9638f42021-07-02T11:45:52ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102014-04-0119210.3846/13926292.2014.908792Nonlocal Third Order Boundary Value Problems with Solutions that Change SignSergey Smirnov0Institute of Mathematics and Computer Science, University of Latvia Raina bulvaris 29, LV-1459 Riga, Latvia We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results. https://journals.vgtu.lt/index.php/MMA/article/view/3276nonlinear boundary value problemsnonlocal boundary conditionsestimation of the number of solutions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sergey Smirnov |
spellingShingle |
Sergey Smirnov Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign Mathematical Modelling and Analysis nonlinear boundary value problems nonlocal boundary conditions estimation of the number of solutions |
author_facet |
Sergey Smirnov |
author_sort |
Sergey Smirnov |
title |
Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign |
title_short |
Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign |
title_full |
Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign |
title_fullStr |
Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign |
title_full_unstemmed |
Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign |
title_sort |
nonlocal third order boundary value problems with solutions that change sign |
publisher |
Vilnius Gediminas Technical University |
series |
Mathematical Modelling and Analysis |
issn |
1392-6292 1648-3510 |
publishDate |
2014-04-01 |
description |
We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results.
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topic |
nonlinear boundary value problems nonlocal boundary conditions estimation of the number of solutions |
url |
https://journals.vgtu.lt/index.php/MMA/article/view/3276 |
work_keys_str_mv |
AT sergeysmirnov nonlocalthirdorderboundaryvalueproblemswithsolutionsthatchangesign |
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1721330742532767744 |