We establish conditions for the existence of solutions weakly perturbed impulsive boundary-value problems systems integrodifferential equations and determine structure these solutions. The sufficient condition are investigated with help theory orthoprojectors pseudoinverse Moore–Penrose matrices.

The systems of impulsive hyperbolic partial differential equations with Robin boundary value condition are investigated. Several new sufficient conditions of oscillation for such systems are established by employing impulsive differential inequalities and integration.

Abstract We study some functionals associated with a process driven by fractional boundary value problem (FBVP for short). By FBVP we mean Cauchy condition written in terms of equation, that is an equation involving time-fractional derivative the sense Caputo. focus on lifetimes and additive characterizing conditions. show corresponding are related to telegraph equations. Moreover, order gives ...

in this paper, a parameter uniform numerical method based on shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. it is assumed that both equations have a turning point at the same point. an appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on t...