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

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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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Published

2022-08-22

How to Cite

[1]
M. Djibaoui and T. Moussaoui, “Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line”, CUBO, vol. 24, no. 2, pp. 227–237, Aug. 2022.

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