On the stability of first order impulsive evolution equations

On the stability of linear differential equations of second order

The aim of this paper is to investigate the Hyers-Ulam stability of the  linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$  $fin C[a,b]$ and $-infty

On Exact Controllability of First-Order Impulsive Differential Equations

Numerical Solution of The First-Order Evolution Equations by Radial Basis Function

‎In this work‎, ‎we consider the nonlinear first-order evolution‎ ‎equations‎: ‎$u_t=f(x,t,u,u_x,u_{xx})$ for $0 ‎to initial condition $u(x,0)=g(x)$‎, ‎where $u$ is a function of‎ ‎$x$ and $t$ and $f$ is a known analytic function‎. ‎The purpose of‎ ‎this paper is to introduce the method of RBF to existing method‎ ‎in solving nonlinear first-ord...

Existence and impulsive stability for second order retarded differential equations

One of the most important parts of the qualitative theory in differential equations is the stability of solutions. The problem of stabilizing the solutions by imposing proper impulse controls is very important to many areas of the sciences and engineering. It is important, for instance, in pharmacokinetics, biotechnology, economics, chemical technology and others. We consider certain second ord...

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.