[PDF] Top 20 A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay

... where, A (` u) : D( A (` u)) ⊆ ϑ → X, ` u ∈ J = [0, a] is a closed densely defined operator and f : J → X is an suitable function. Equations of this form have been considered in several papers. We refer the reader to ... See full document

... The study of controllability plays an important role in the control theory and engineering ...nonlinear control systems, approximate controllable systems are more prevalent and very ... See full document

... of differential and integral equations, the fixed point theory and many ...initial study of the theory of the measure of noncompactness, we refer to book of J ´ ozef Banas [10], Akhmerov ... See full document

... The study of impulsive functional differential equations is linked to their utility in sim- ulating processes and phenomena subject to short-time perturbations during their evolu- ...Now impulsive ... See full document

... to study (.). We point out that the theory of impulsive neutral evolution differential equations or inclusions with infinite delay assuming axioms introduced by Hale and Kato has been ... See full document

... of impulsive fractional partial neutral quasilinear infinite delay differential inclusions in Hilbert spaces, which is expressed in the form ...fractional impulsive ... See full document

... dynamical systems exhibit the various evolutionary process, including those in engineering, biol- ogy and population dynamics, undergo abrupt changes in their state at certain moments between intervals of ... See full document

... the control of nonlinear systems with state- dependent delays on the input can be studied by designing a ‘nonlinear predictor feedback’ law that compensates the input ...nonlinear systems with ... See full document

... In control theory, one of the most important qualitative properties of dynamical systems is ...a control function, which steers the solution of the system from its initial state to final state, where ... See full document

... controllabilityof second-orderordinary anddelay,differentialandintegro- differentialsystemswiththeproper illustrations,withoutconverting them tofirst- orderbyusingthecosineoperators ... See full document

... The study of impulsive functional differential equations is related to their utility in simulating processes and phenomena subject to short-time perturbations during their ...of impulsive ... See full document

... of impulsive neutral evolution differential inclusions with state- dependent delay has been given by the authors in ...for impulsive dif- ferential ...for impulsive differential ... See full document

... the study of abstract deterministic second-order evolutions equa- tions governed by the generator of a strongly continuous cosine family was initiated by [] and subsequently studied by [, ...The ... See full document

... Abstract. This paper is concerned with oscillation and nonoscillation of a kind of nonlinear neutral impulsive differential systems with constant coefficients and constant delays by using the ... See full document

... An important tool in the study of oscillation is the integral averaging technique. Just as we can see, most oscillation results in 1, 3, 5, 7, 11, 12 involved the function class H. Say a function H Ht, s belongs ... See full document

... the Cartesian product of two cones in the space PC[0, 1], and using the well-known fixed point theorem of cone expansion and compression, we obtain conditions for the existence and multiplicity of positive solutions of ... See full document

... Fractional calculus is the study of integrals and derivatives of arbitrary order(both real and complex). Although it was introduced to the end of the seventeenth century, the main contributions have been ... See full document

... of second order linear neutral impulsive ordinary differential equations with variable coefficients and constant retarded arguments and obtained sufficient conditions ensuring the ... See full document

... In recent years, there has been increasing interest in studying oscillation of solutions to different classes of differential equations due to the fact that they have numerous appli- cations in natural sciences and ... See full document

... with impulsive effect provide mathematical models for many phenomena and processes in the field of natural sciences and ...functional differential systems has come into existence ...of ... See full document