Quasilinearization Technique for -Laplacian Type Equations

An equation is considered together with the boundary conditions , . This problem under appropriate conditions can be reduced to quasilinear problem for two-dimensional differential system. The conditions for existence of multiple solutions to the original problem are obtained by multiply applying t...

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Main Authors: Inara Yermachenko, Felix Sadyrbaev
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/975760
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author Inara Yermachenko
Felix Sadyrbaev
author_facet Inara Yermachenko
Felix Sadyrbaev
author_sort Inara Yermachenko
collection DOAJ
description An equation is considered together with the boundary conditions , . This problem under appropriate conditions can be reduced to quasilinear problem for two-dimensional differential system. The conditions for existence of multiple solutions to the original problem are obtained by multiply applying the quasilinearization technique.
format Article
id doaj-art-31919ea38e0f4ea2ba157dd974ec8a28
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-31919ea38e0f4ea2ba157dd974ec8a282025-02-03T05:43:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/975760975760Quasilinearization Technique for -Laplacian Type EquationsInara Yermachenko0Felix Sadyrbaev1Faculty of Natural Sciences and Mathematics, Daugavpils University, Daugavpils, LV-5400, LatviaFaculty of Natural Sciences and Mathematics, Daugavpils University, Daugavpils, LV-5400, LatviaAn equation is considered together with the boundary conditions , . This problem under appropriate conditions can be reduced to quasilinear problem for two-dimensional differential system. The conditions for existence of multiple solutions to the original problem are obtained by multiply applying the quasilinearization technique.http://dx.doi.org/10.1155/2012/975760
spellingShingle Inara Yermachenko
Felix Sadyrbaev
Quasilinearization Technique for -Laplacian Type Equations
International Journal of Mathematics and Mathematical Sciences
title Quasilinearization Technique for -Laplacian Type Equations
title_full Quasilinearization Technique for -Laplacian Type Equations
title_fullStr Quasilinearization Technique for -Laplacian Type Equations
title_full_unstemmed Quasilinearization Technique for -Laplacian Type Equations
title_short Quasilinearization Technique for -Laplacian Type Equations
title_sort quasilinearization technique for laplacian type equations
url http://dx.doi.org/10.1155/2012/975760
work_keys_str_mv AT inarayermachenko quasilinearizationtechniqueforlaplaciantypeequations
AT felixsadyrbaev quasilinearizationtechniqueforlaplaciantypeequations