On Well Posed Impulsive Boundary Value Problems for p(t)-Laplacian's

Abstract

In this paper we investigate via variational methods and critical point theory the existence of solutions, uniqueness and continuous dependence on parameters to impulsive problems with a p(t)-Laplacian and Dirichlet boundary value conditions.

Keywords:

• continuous dependence on parameters
• existence
• impulsive differential equation
• p(t)-Laplace operator

AMS Subject Classification:

• 34B37
• 47J30