We study the existence of multiple solutions for semi linear fourth-order differential equation describing elastic deflections. The proof of the main result is based on a three critical point theorem.
In the present paper, we obtain an existence result for a class of mixed boundary value problems for second-order differential equations. A critical point theorem is used, in order to prove the existence of a precise open interval of positive eigenvalues λ, for which the considered problem admits at least one non-trivial classical solution u λ. It is proved… (More)
This paper deals with the existence and multiplicity of periodic solutions for the one-dimensional p-Laplacian. The minimization argument and extended Clark's theorem are applied to prove our results. The corresponding impulsive problem is considered as well.
We study the existence of heteroclinic solutions for semilinear second-order difference equations related to the Fisher-Kolmogorov's equation. The proof of the presented results are based on monotonicity and continuity arguments.