Vector variational problem with knitting boundary conditions

Fractional-Order Variational Calculus with Generalized Boundary Conditions

This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville with a Lagrangian depending on the free end-points. To illustrate our approach, two examples are discussed in detail.

Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions

We study the existence of n distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary conditions by using variational methods and critical point theory.

Variational Method to the Impulsive Equation with Neumann Boundary Conditions

We study the existence and multiplicity of classical solutions for second-order impulsive SturmLiouville equation with Neumann boundary conditions. By using the variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions, and infinitely many solutions under some different conditions, respectively. Some ...

Second-Order Boundary Value Problem with Integral Boundary Conditions

On Generalized Vector Variational-Like Inequality Problem

In this paper, we introduce the concepts of relaxed M-η-αP -pseudomonotonicity and relaxed M-η-α-P -pseudomonoton icity-type mappings. Using the KKM techniques, we obtain the existence of solutions for generalized vector variationallike inequalities with relaxed M-η-α-P -pseudomonotone-type mappings in reflexive Banach spaces. The results presented in this paper generalize, unify and improve a ...