The existence of one solution for impulsive differential equations via variational methods

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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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2023-01, Vol.41, p.1-11
Hauptverfasser: Rouhani, Zhaleh, Afrouzi, Ghasem A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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