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Existence of three solutions for perturbed nonlinear difference equations

100%

Heidarkhani S. , Moghadam M. K.

2014

tom Vol. 34, no. 4

747--761

Using critical point theory, we study the existence of at least three solutions for perturbed nonlinear difference equations with discrete boundary-value condition depending on two positive parameters.

Multiplicity results for perturbed fourth-order Kirchhoff-type problems

80%

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

Opuscula Mathematica

2017

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.

Multiple solutions for systems of multi-point boundary value problems

80%

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

Opuscula Mathematica

2013

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.