[PDF] Top 20 Periodic Solutions in UMD Spaces for Some Neutral Partial Functional Differential Equations

... on UMD spaces. In Section 3, we study the existence of periodic strong solution for Equation (1) with finite delay and we discuss the existence of mild solutions of Equation ...and some ... See full document

... the Differential Transformation Method (DTM) for finding the exact and approximate solutions of neutral functional-differential equations with proportional ...or partial ... See full document

... integro-differential equations described on infinite dimensional spaces, we cite the Pr ¨uss book 17 and the papers 18–20, Da Prato et ...where some of the above topics for the case of abstract ... See full document

... We recall that a metrizable space X is an absolute neighborhood retract (ANR) if, whenever it is homeomorphically embedded as a closed subset C of a metric space Y, there exist an open neighborhood V of C in Y and a ... See full document

... After that, by using the above results, many researchers studied the existence of periodic solutions for some kinds of differential equations; see [–]. In a recent paper [], when the ... See full document

... In the proof of our results on the existence of periodic solutions, we use the following generalized Borsuk theorem in coincidence degree theory of Gaines and Mawhin []. Lemma . Let X and Z be real ... See full document

... of neutral systems of various classes with time de- lays has received an ever-growing interest from many ...for neutral time delay systems. We only mention the work of some authors ...of ... See full document

... retarded functional differential equations (abbreviated, ARFDE) arise in many areas of applied mathematics, this type of equations has received much attention in recent years ...[–]. Some ... See full document

... Neutral functional differential equations (NFDEs) are a class of differential equations, in which the state not only depends on the past and the current values, but also involves the derivatives ... See full document

... of periodic solutions for some types of p-Laplacian neutral differential equations has attracted much attention from researchers; see [–] and the references cited ...the ... See full document

... almost periodic functions were first introduced in [10, 11] by ...(integral) equations, many authors [5, 9, 12, 13, 14, 25] apply the asymptotic property of the functions to deter- mine the existence of ... See full document

... of solutions for some fractional neutral functional integro-differential equations involving infinite ...fractional equations in the sense of Caputo fractional derivative ... See full document

... -asymptotically periodic function on R by the measure ...-asymptotically periodic integral solution to partial neutral functional differential equations with finite delay ... See full document

... of periodic solutions of delay differential equations; see, for example, ...of periodic solutions for delay differential equations include the dual Lyapunov method, the Fourier ... See full document

... Abstract neutral differential equations arise in many areas of applied ...ordinary neutral differential equations is very ...in partial neutral functional ... See full document

... and partial di ff erential equations with impulses are a basic tool to study evolution processes that are subjected to abrupt changes in their ...Such equations arise naturally from a wide variety of ... See full document

... YU YUAN--HONG, Oscillation of solutions of neutral delay differential equations,Acta.. On the existence of positive solutions of neutral delay differential equations,Scientia Sinica Seri[r] ... See full document

... Zhicheng; Periodic solutions of linear neutral integrodifferential equa- tions, Thoku Math.[r] ... See full document

... Floquet theory offers a lot of results on the periodicity of the system (1.1) when τ = 0. In [16], the author extended Floquet theory to non- autonomous linear systems of the form z 0 = A(x)z, where A : C → C is an ω− ... See full document

... Recently, fractional differential equations have been of great interest. For de- tailed discussion on this topic, refer to the monographs of Miller and Ross [5], Podlubny [6], and the papers by Benchohra et ... See full document