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

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 nonlinear 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