Existence results for some nonlinear problems with $\phi$-Laplacian
Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing homeomorphism.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2015-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3356 |
| _version_ | 1827951305723740160 |
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| author | Ruyun Ma Lu Zhang Ruikuan Liu |
| author_facet | Ruyun Ma Lu Zhang Ruikuan Liu |
| author_sort | Ruyun Ma |
| collection | DOAJ |
| description | Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem
$$
(\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B,
$$
where $\phi$ is an increasing homeomorphism. |
| first_indexed | 2024-04-09T13:39:44Z |
| format | Article |
| id | doaj.art-ac49c26e57d44c90af08318faf3bd5e4 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:44Z |
| publishDate | 2015-05-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-ac49c26e57d44c90af08318faf3bd5e42023-05-09T07:53:04ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-05-012015221710.14232/ejqtde.2015.1.223356Existence results for some nonlinear problems with $\phi$-LaplacianRuyun Ma0Lu Zhang1Ruikuan Liu2Department of Mathematics, Northwest Normal University, Lanzhou, P R ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, P R ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, P R ChinaUsing the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing homeomorphism.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3356barrier strip$\phi$-laplaciantopological transversality theoremexistence |
| spellingShingle | Ruyun Ma Lu Zhang Ruikuan Liu Existence results for some nonlinear problems with $\phi$-Laplacian Electronic Journal of Qualitative Theory of Differential Equations barrier strip $\phi$-laplacian topological transversality theorem existence |
| title | Existence results for some nonlinear problems with $\phi$-Laplacian |
| title_full | Existence results for some nonlinear problems with $\phi$-Laplacian |
| title_fullStr | Existence results for some nonlinear problems with $\phi$-Laplacian |
| title_full_unstemmed | Existence results for some nonlinear problems with $\phi$-Laplacian |
| title_short | Existence results for some nonlinear problems with $\phi$-Laplacian |
| title_sort | existence results for some nonlinear problems with phi laplacian |
| topic | barrier strip $\phi$-laplacian topological transversality theorem existence |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3356 |
| work_keys_str_mv | AT ruyunma existenceresultsforsomenonlinearproblemswithphilaplacian AT luzhang existenceresultsforsomenonlinearproblemswithphilaplacian AT ruikuanliu existenceresultsforsomenonlinearproblemswithphilaplacian |