Focal boundary value problems for nonlinear difference equations, II

A Focal Boundary Value Problem for Difference Equations

The eigenvalue problem in difference equations, (--1)n-kAny(t) A l:,=o p()’,(), with y(0) 0, 0 < < k, Ak+iy(T + 1) 0, 0 _< < n k, is examined. Under suitable conditions on the coefficients Pi, it is shown that the smallest positive eigenvalue is a decreasing function of T. As a consequence, results concerning the first focal point for the boundary value problem with A are obtained.

Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces

This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.

Periodic Boundary Value Problems for First Order Difference Equations

In this paper, existence criteria for single and multiple positive solutions of periodic boundary value problems for first order difference equations of the form

Boundary Value Problems for Functional Difference Equations on Infinite Intervals

Boundary Value Problems for First Order Impulsive Difference Equations ∗

In this paper, first order impulsive difference equations with linear boundary conditions are discussed. By using a new comparison theorem and the method of upper and lower solutions coupled with the monotone iterative technique, criteria on the existence of minimal and maximal solutions are obtained. AMS subject classification: 34D20, 34A37.