[PDF] Top 20 Existence and stability of almost periodic solutions for impulsive differential equations

... Remark 3.2 As we pointed out in Introduction, to get the almost periodic solutions of impulsive differential equations, most people use the Contraction theorem. To be different, ... See full document

... considers almost periodic dynamics for impulsive BAM neural networks with variable delays and continuously distributed delays on almost periodic time ...the existence and ... See full document

... differential equations, and then by applying Mawhin’s continuation theory and some new inequalities, we obtain sufficient conditions for the existence of periodic solutions for ...Lyapunov ... See full document

... difference equations and functional difference equations, the existence of almost periodic solutions of almost periodic systems has been studied by many ...certain ... See full document

... evolution equations with delay is to find conditions for the existence and stability of ω-periodic solutions in the case that the nonlinear mapping is ω-periodic func- tion in ... See full document

... of impulsive partial differential equations has become an active area of in- vestigation due to their applications in fields such as mechanics, electrical engineering, medicine biology (see ...The ... See full document

... the equations considered in the above-mentioned papers are under periodic ...to almost periodicity. Almost periodic functions are functions that are periodic up to a small ...of ... See full document

... The periodicity is a very important property in the study of the impulsive differential equa- tions [1, 2]. However, not all natural phenomena can be described alone by periodicity. Some differential ... See full document

... an impulsive Lasota-Wazewska model with multiple time-varying delays on time ...about almost periodic dynamic equations on time scales, we obtain some sufficient conditions for the ... See full document

... singular differential equations describe many problems in the applied sciences, such as the Brillouin focusing system and nonlinear ...the existence of periodic solutions for singular ... See full document

... Differential equations with impulsive effect provide mathematical models for many phenomena and processes in the field of natural sciences and ...developed stability theory of functional ... See full document

... particular, differential equations with impulsive conditions constitute an im- portant field of research due to their numerous applications in ecology, medicine biology, electrical engineering and ... See full document

... the existence of pseudo-almost periodic (mild) solutions are ob- tained in [10, ...exponential stability of pseudo-almost periodic solutions plays a key role in ... See full document

... Abstract. Using ergodicity of functions, we prove the existence and uniqueness of (asymptotically) almost periodic solution for some nonlinear differential equations. As a consequence, we ... See full document

... Introduction. Equations with piecewise continuous arguments (EPCA) arise in an attempt to extend the theory of functional differential equations with continuous arguments to differential equations with ... See full document

... the impulsive parabolic partial differential equation ...mild solutions between  and w(x, t), which can be obtained by a monotone iterative procedure starting from  and w(x, t), ... See full document

... periodical solutions of th e second-order neutral delay differential equations w ith piecewise constant a rgum ents of th e form x"(t) + px "( t - 1) = qx(2[£+-]) + f (t), w here [■] denotes ... See full document

... the existence of almost periodic solu- tions has been extensively studies in the literature ...Eberlein-weak almost periodic functions are more gen- eral than almost ... See full document

... This paper studies the properties of solutions to system (1.1) by using the theory of func- tional differential equation, fractional differential equation, and stochastic analysis tech- niques. Firstly, we ... See full document

... involving impulsive act, for retarded and neu- tral functional differential equations we cite [7-17], for applications of impulsive differ- ential equations on biology and neural ... See full document