Existence of global solutions for systems of second-order differential equations with p-Laplacian
We obtain sufficient conditions for the existence of global solutions for the systems of differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y') + R(t)f(y) = e(t), $$ where $Phi_p(y')$ is the multidimensional p-Laplacian.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2007-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/136/abstr.html |
| _version_ | 1819145272759943168 |
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| author | Eva Pekarkova Milan Medved |
| author_facet | Eva Pekarkova Milan Medved |
| author_sort | Eva Pekarkova |
| collection | DOAJ |
| description | We obtain sufficient conditions for the existence of global solutions for the systems of differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y') + R(t)f(y) = e(t), $$ where $Phi_p(y')$ is the multidimensional p-Laplacian. |
| first_indexed | 2024-12-22T12:55:24Z |
| format | Article |
| id | doaj.art-86a14c62e77045178f5f9314f90ed1c5 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T12:55:24Z |
| publishDate | 2007-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-86a14c62e77045178f5f9314f90ed1c52022-12-21T18:25:07ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-10-01200713619Existence of global solutions for systems of second-order differential equations with p-LaplacianEva PekarkovaMilan MedvedWe obtain sufficient conditions for the existence of global solutions for the systems of differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y') + R(t)f(y) = e(t), $$ where $Phi_p(y')$ is the multidimensional p-Laplacian.http://ejde.math.txstate.edu/Volumes/2007/136/abstr.htmlSecond order differential equationp-Laplacianglobal solution |
| spellingShingle | Eva Pekarkova Milan Medved Existence of global solutions for systems of second-order differential equations with p-Laplacian Electronic Journal of Differential Equations Second order differential equation p-Laplacian global solution |
| title | Existence of global solutions for systems of second-order differential equations with p-Laplacian |
| title_full | Existence of global solutions for systems of second-order differential equations with p-Laplacian |
| title_fullStr | Existence of global solutions for systems of second-order differential equations with p-Laplacian |
| title_full_unstemmed | Existence of global solutions for systems of second-order differential equations with p-Laplacian |
| title_short | Existence of global solutions for systems of second-order differential equations with p-Laplacian |
| title_sort | existence of global solutions for systems of second order differential equations with p laplacian |
| topic | Second order differential equation p-Laplacian global solution |
| url | http://ejde.math.txstate.edu/Volumes/2007/136/abstr.html |
| work_keys_str_mv | AT evapekarkova existenceofglobalsolutionsforsystemsofsecondorderdifferentialequationswithplaplacian AT milanmedved existenceofglobalsolutionsforsystemsofsecondorderdifferentialequationswithplaplacian |