Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line

Meriem Djibaoui; Toufik Moussaoui

doi:10.56754/0719-0646.2402.0227

DOI:

https://doi.org/10.56754/0719-0646.2402.0227

Abstract

In this paper, the existence of solutions for a second-order impulsive differential equation with a parameter on the half-line is investigated. Applying Lax-Milgram theorem, we deal with a linear Dirichlet impulsive problem, while the non-linear case is established by using standard results of critical point theory.

Keywords

Dirichlet boundary value problem , half-line , Lax-Milgram theorem , critical points , impulsive differential equation

Meriem Djibaoui Laboratory of Fixed Point Theory and Applications, École Normale Supérieure, Kouba, Algiers. Algeria.
Toufik Moussaoui Laboratory of Fixed Point Theory and Applications, École Normale Supérieure, Kouba, Algiers. Algeria.

Pages: 227–237
Date Published: 2022-08-22
Vol. 24 No. 2 (2022)

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