On the Oscillation of Higher Order Impulsive Neutral Partial Differential Equations with Distributed Deviating Arguments

Abstract

In this work, we consider a class of boundary value problems associated with even order nonlinear impulsive neutral partial functional differential equations with continuous distributed deviating arguments and damping term. Necessary and Sufficient conditions are obtained for the oscillation of solutions using impulsive differential inequalities and integral averaging scheme with Robin boundary condition. Examples are specified to point up our important results.

On the Oscillation of Conformable Impulsive Vector Partial Differential Equations

“…The first paper on impulsive partial differential equations [10] was published in 1991. Several authors worked on the oscillatory behaviour of impulsive partial differential equations with delays [11,14,21,23,28]. For the essential background on the oscillation theory of differential equations, we refer the reader to the monographs [17,32,33] and the references cited therein [3,5,9,22].…”

Oscillation of Impulsive Hyperbolic Differential Equations with Distributed Delay

“…In recent years considerable attention has been given to the study of oscillation and nonoscillation results with continuous distributed deviating arguments [4], [5], [8][9][10][11][12][13], [15][16][17]. The study of impulsive partial differential equations is motivated by having many applications in population models [4], [7], single species growth [6], quenching problems [3] and various scientific models [18], [19] with the boundary conditions of the type Dirichlet, Neumann and Robin.…”