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Multiple solutions for systems of multi-point boundary value problems

100%

Graef J. R. , Heidarkhani S. , Kong L.

tom Vol. 33, no. 2

293--306

In this paper, we establish the existence of at least three solutions of the multi-point boundary value system [formula]. The approaches used are based on variational methods and critical point theory.

Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications

100%

El Amrouss A. , Hammouti O.

tom Vol. 41, no. 4

489--507

Let n ∈ N*, and N ≥ n be an integer. We study the spectrum of discrete linear 2n-th order eigenvalue problems [formula] where λ is a parameter. As an application of this spectrum result, we show the existence of a solution of discrete nonlinear 2n-th order problems by applying the variational methods and critical point theory.

A topological approach to hemivariational inequalities with unilateral growth condition

88%

Motreanu D. , Naniewicz Z.

tom Vol. 7, nr 1

23-41

The present paper is devoted to the study of the existence solution problem for a hemivariational inequality on vector-valued function space in the case when the nonlinear nonconvex part satisfies the unilateral growth condition. The critical point theory combined with the Galerkin approximation method have been used to establish the result.

Multiplicity results for perturbed fourth-order Kirchhoff-type problems

88%

Tavani M. R. H. , Afrouzi G. A. , Heidarkhani S.

tom Vol. 37, no. 5

755--772

In this paper, we investigate the existence of three generalized solutions for fourth-order Kirchhoff-type problems with a perturbed nonlinear term depending on two real parameters. Our approach is based on variational methods.