Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian
We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y', y'_t) + R(t)f(y, y_t) = e(t), $$ where $Phi_p(u) = (|u_1|^{p-1}u_1, dots, |u_n|^{p-1}u_n)^T$ which is the multidimen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2008-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/40/abstr.html |
| _version_ | 1818285462915121152 |
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| author | Miroslav Bartusek Milan Medved |
| author_facet | Miroslav Bartusek Milan Medved |
| author_sort | Miroslav Bartusek |
| collection | DOAJ |
| description | We find sufficient conditions for the existence of global solutions for the systems of functional-differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y', y'_t) + R(t)f(y, y_t) = e(t), $$ where $Phi_p(u) = (|u_1|^{p-1}u_1, dots, |u_n|^{p-1}u_n)^T$ which is the multidimensional p-Laplacian. |
| first_indexed | 2024-12-13T01:09:05Z |
| format | Article |
| id | doaj.art-65289c414a3949769da7d07aa3560613 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-13T01:09:05Z |
| publishDate | 2008-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-65289c414a3949769da7d07aa35606132022-12-22T00:04:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-03-0120084018Existence of global solutions for systems of second-order functional-differential equations with p-LaplacianMiroslav BartusekMilan MedvedWe find sufficient conditions for the existence of global solutions for the systems of functional-differential equations $$ ig(A(t)Phi_p(y')ig)' + B(t)g(y', y'_t) + R(t)f(y, y_t) = e(t), $$ where $Phi_p(u) = (|u_1|^{p-1}u_1, dots, |u_n|^{p-1}u_n)^T$ which is the multidimensional p-Laplacian.http://ejde.math.txstate.edu/Volumes/2008/40/abstr.htmlSecond order functional-differential equationp-Laplacianglobal solution |
| spellingShingle | Miroslav Bartusek Milan Medved Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian Electronic Journal of Differential Equations Second order functional-differential equation p-Laplacian global solution |
| title | Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian |
| title_full | Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian |
| title_fullStr | Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian |
| title_full_unstemmed | Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian |
| title_short | Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian |
| title_sort | existence of global solutions for systems of second order functional differential equations with p laplacian |
| topic | Second order functional-differential equation p-Laplacian global solution |
| url | http://ejde.math.txstate.edu/Volumes/2008/40/abstr.html |
| work_keys_str_mv | AT miroslavbartusek existenceofglobalsolutionsforsystemsofsecondorderfunctionaldifferentialequationswithplaplacian AT milanmedved existenceofglobalsolutionsforsystemsofsecondorderfunctionaldifferentialequationswithplaplacian |