Shahin Moradi

Infinitely many solutions for perturbed impulsive fractional differential systems

In this paper, the existence of infinitely many solutions for perturbed systems of impulsive non-linear fractional differential equations including Lipschitz continuous non-linear terms is discussed. The approach is based on variational methods. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.

Variational approaches to impulsive elastic beam equations of Kirchhoff type

In this paper, we study the existence of multiple solutions for impulsive fourth-order differential equations of Kirchhoff type. Using a variational method and some critical points theorems, we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff type have three and infinitely many solutions. Some recent results are extended and improved. Some examples are presented to demonstrate the applications of our main results.

Variational approaches to p-Laplacian discrete problems of Kirchhoff-type

Abstract Critical point results for Kirchhoff-type discrete boundary value problems are exploited in order to prove that a suitable class possesses at least one solution under an asymptotical behaviour of the potential of the nonlinear term at zero, and also possesses infinitely many solutions under some hypotheses on the behaviour of the potential of the nonlinear term at infinity. Some recent results are extended and improved. Some examples are presented to demonstrate the applications of our main results.

A variational approach to difference equations

In this paper, we are concerned with the existence of at least three distinct solutions for nonlinear difference equations with Dirichlet boundary conditions. The proof of the main result is based on variational methods. We also provide an example in order to illustrate the main results.

A critical point approach to boundary value problems on the real line

Abstract We discuss the existence of at least one weak solution for elliptic problems on the real line. Our technical approach is based on variational methods. Some recent results are extended and improved. Examples are presented to demonstrate the application of our main results.

Existence of multiple solutions for a perturbed discrete anisotropic equation

Abstract In this paper, we are concerned with the existence of at least three distinct solutions for a perturbed anisotropic discrete Dirichlet problem. The approach is based on variational methods. We also provide two examples in order to illustrate the results.

A variational approach to perturbed impulsive fractional differential equations

Abstract In this paper, perturbed systems of impulsive nonlinear fractional differential equations, including Lipschitz continuous nonlinear terms, are studied. The existence of at least three distinct weak solutions is obtained based on a recent three critical points theorem for differentiable functionals. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.

A variational approach to perturbed three-point boundary value problems of Kirchhoff-type

In this paper, we provide sufficient conditions for the existence of at least three distinct non-negative weak solutions for a perturbed three-point boundary value problem of Kirchhoff-type. Our technical approach is based on variational methods. In addition, examples are provided to illustrate our results.

Variational Approaches to P(X)-Laplacian-Like Problems with Neumann Condition Originated from a Capillary Phenomena

Abstract This article presents several sufficient conditions for the existence of at least one weak solution and infinitely many weak solutions for the following Neumann problem, originated from a capillary phenomena, {−div((1+|∇u|p(x)1+|∇u|2p(x))|∇u|p(x)−2∇u)+α(x)|u|p(x)−2u=λf(x,u)inΩ,∂u∂ν=0on∂Ω