Boundary-Value Problems for Systems of Linear Difference-Algebraic Equations

Solutions for some non-linear fractional differential equations with boundary value problems

In recent years, X.J.Xu [1] has been proved some results on mixed monotone operators.  Following the paper of X.J.Xu, we study the existence and uniqueness of the positive solutions for non-linear differential equations with boundary value problems. 

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.

Non homogeneous boundary value problems for linear dispersive equations

While the non-homogeneous boundary value problem for elliptic, hyperbolic and parabolic equations is relatively well understood, there are still few results for general dispersive equations. We define here a convenient class of equations comprising the Schrödinger equation, the Airy equation and linear ‘Boussinesq type’ systems, which is in some sense a generalization of strictly hyperbolic equ...