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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Bibliographic Details
Published in	Boletim da Sociedade Paranaense de Matemática Vol. 41; pp. 1 - 11
Main Authors	Rouhani, Zhaleh, Afrouzi, Ghasem A.
Format	Journal Article
Language	English
Published	01.01.2023
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Summary:	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.
ISSN:	0037-8712 2175-1188
DOI:	10.5269/bspm.48439