[PDF] Top 20 Multiple periodic solutions in shifts δ± for an impulsive functional dynamic equation on time scales

... The organization of this paper is as follows. In Section , we introduce some notations and definitions and state some preliminary results needed in later sections; then we give the Green’s function of system (.), which ... See full document

... with periodic solutions of dynamic equations on time scales; see, for example, ...of periodic solutions for dynamic equations on time scales ... See full document

... of time scales, which play an important role in establishing the existence of solutions for ε-equivalent impulsive func- tional dynamic equations with such a ‘sight ...on time ... See full document

... It is well known that the application of theories of functional differential equations in mathematical ecology or biology has developed rapidly and effectively. The Lotka– Volterra ecological population model ... See full document

... positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with parameter are ... See full document

... of Time Scales Calculus is initiated by Stephan ...of periodic solutions of population models modelled by ordinary differential equations and their discrete analogues in form of difference ... See full document

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

... years, periodic solutions in shifts δ ± for some nonlinear dynamic equations on time scales with delta deriva- tive have been studied by many authors; see, for example, ... See full document

... and multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... neutral functional d- ifferential equations has been prominent attention due to its tremendous potential of its application in applied ...regular time scales, such as discrete and continuous cases, ... See full document

... In this section, we mention some definitions, lemmas and theorems from calculus on time scales which can be found in [, ]. Next, we state some definitions, lemmas and theo- rems about the shift operators ... See full document

... of periodic solutions is an im- portant topic in qualitative analysis of functional dynamic ...concerning periodic dynamic equations on time scales; see, for ... See full document

... almost periodic functions and give some useful and important properties of ...almost periodic functions which is a new generalization of uniformly almost periodic functions on time ... See full document

... their periodic solutions and the exponential convergence properties for Cohen-Grossberg neural networks have been reported in the literature (see, ... See full document

... of impulsive dynamic equations on time scales has been initiated by Hender- son [4], Benchohra et ...Extremal solutions of PBVP for im- pulsive differential equations and difference ... See full document

... positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... of impulsive differential equations is emerging as an important area of investigation, since it is a lot richer than the corresponding theory of differential equa- tions without impulse ...same time, the ... See full document

... The time scale calculus has tremendous potential for applications in mathematical models of real processes, for example, in physics, chemical technology, population dynamics, biotechnology and economics, neural ... See full document

... concave functional on P and ψ be a nonnegative continuous functional on P satisfying ψ(λx) ≤ λψ (x) for  ≤ λ ≤ , such that for some positive numbers h and ... See full document

... of solutions for boundary value problems on time ...same time, boundary value problems for impulsive differential equations and impulsive difference equations have received much ... See full document