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In this note we consider Dirichlet boundary value problem on a half line. Using critical point theory we prove the existence of at least one nontrivial solution. [ABSTRACT FROM AUTHOR]

Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered. [ABSTRACT FROM AUTHOR]

Using the variational approach, we investigate the existence of solutions and their dependence on functional parameters for classical solutions to the second order impulsive boundary value Dirichlet problems with L1 right hand side. [ABSTRACT FROM AUTHOR]

In this paper we investigate the existence of solutions to impulsive problems with a p( t)-Laplacian and Dirichlet boundary value conditions. We introduce two types of solutions, namely a weak and a classical one which coincide because of the fundamental lemma of the calculus of variations. Firstly we investigate the existence of solution to the linear problem, i.e. a problem with a fixed rigth hand side. Then we use a direct variational method and next a mountain pass approach in order to get the existence of at least one weak solution to the nonlinear problem. [ABSTRACT FROM AUTHOR]

Using Fan's Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional. [ABSTRACT FROM AUTHOR]

Abstract: Using critical point theory and monotonicity results, we consider the existence of solutions to certain types of difference equations depending on a parameter. [Copyright &y& Elsevier]