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.
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University of Szeged
2015-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3356 |
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doaj-ac49c26e57d44c90af08318faf3bd5e42021-07-14T07:21:27ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752015-05-012015221710.14232/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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ruyun Ma Lu Zhang Ruikuan Liu |
| 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 |
| author_facet |
Ruyun Ma Lu Zhang Ruikuan Liu |
| author_sort |
Ruyun Ma |
| title |
Existence results for some nonlinear problems with $\phi$-Laplacian |
| title_short |
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_sort |
existence results for some nonlinear problems with $\phi$-laplacian |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2015-05-01 |
| 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. |
| 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 |
| _version_ |
1721303628540542976 |