The existence of one solution for impulsive differential equations via variational methods
We prove the existence of at least one non-trivial weak solution for a nonlinear Dirichlet boundary value problem subject to perturbations of impulsive terms via employing a critical point theorem for differentiable functionals.
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Published in | Boletim da Sociedade Paranaense de Matemática Vol. 41; pp. 1 - 11 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
01.01.2023
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Online Access | Get full text |
ISSN | 0037-8712 2175-1188 |
DOI | 10.5269/bspm.48439 |
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Abstract | We prove the existence of at least one non-trivial weak solution for a nonlinear Dirichlet boundary value problem subject to perturbations of impulsive terms via employing a critical point theorem for differentiable functionals. |
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AbstractList | We prove the existence of at least one non-trivial weak solution for a nonlinear Dirichlet boundary value problem subject to perturbations of impulsive terms via employing a critical point theorem for differentiable functionals. |
Author | Afrouzi, Ghasem A. Rouhani, Zhaleh |
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Cites_doi | 10.1016/j.mcm.2011.08.046 10.1186/1687-2770-2013-278 10.1016/j.amc.2003.10.013 10.1016/j.jfranklin.2011.08.003 10.1112/blms/bdm110 10.1002/mma.3582 10.1016/S0377-0427(99)00269-1 10.1155/2012/707163 10.1016/j.cnsns.2011.05.015 10.24193/fpt-ro.2018.1.18 10.1016/j.na.2009.01.140 10.1016/j.nonrwa.2010.03.012 10.1016/j.nonrwa.2008.10.044 10.1016/j.aml.2017.08.017 10.1002/mma.1472 10.1155/2009/316812 10.7153/dea-09-16 10.1016/j.camwa.2016.04.012 10.1016/j.na.2010.03.035 10.1155/2010/325415 10.1515/anona-2013-0021 10.1007/s40840-016-0400-9 10.1007/s00033-016-0668-5 10.1016/j.camwa.2011.04.003 10.1007/s10440-014-9970-4 10.1016/j.camwa.2011.01.042 |
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