A recent multiplicity theorem for the critical points of a functional defined on a finiteâ€“ dimensional Hilbert space, established by Ricceri, is extended. An application to Dirichlet boundary valueâ€¦ (More)

In this paper we study the existence of periodic solutions of the fourth-order equations u âˆ’ puâ€²â€² âˆ’ a x u + b x u3 = 0 and u âˆ’ puâ€²â€² + a x u âˆ’ b x u3 = 0, where p is a positive constant, and a x and bâ€¦ (More)

We study the existence of multiple solutions for semi linear fourthorder 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 theâ€¦ (More)

In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential equations. The notions of classical and weak solutions areâ€¦ (More)

We study the existence of homoclinic solutions for semilinear pâˆ’Laplacian difference equations with periodic coefficients. The proof of the main result is based on Brezisâ€“Nirenbergâ€™s Mountain Passâ€¦ (More)

We study the existence of non-zero solutions for a fourth-order differential equation with nonlinear boundary conditions which models beams on elastic foundations. The approach is based onâ€¦ (More)

In this paper we study the existence of even positive homoclinic solutions for p-Laplacian ordinary differential equations (ODEs) of the type (uâ€²|uâ€²|pâ€“2)â€² â€“ a(x)u|u|pâ€“2 + Î»b(x)u|u|qâ€“2 = 0, where 2 â‰¤â€¦ (More)

In this paper, by using variational methods and critical point theorems, we prove the existence and multiplicity of solutions for boundary value problem for fractional order differential equationsâ€¦ (More)

We study the existence of heteroclinic solutions for semilinear secondorder difference equations related to the Fisher-Kolmogorovâ€™s equation. The proof of the presented results are based onâ€¦ (More)