[PDF] Top 20 Oscillatory and periodic solutions to a diffusion equation of neutral type

... the solutions to the delay and nondelay prob- lems is the existence of periodic solutions for the delay problem where such solutions were impossible for the nondelay ...all solutions to ... See full document

... positive periodic solutions for some types of differential equations with a singularity have been obtained; see [–] and the references cited ...the periodic solutions for the Liénard ... See full document

... of solutions with some of the previously enumerated properties or another type of almost periodicity to neutral functional differential equations have been made in 10, 11, for the case of ... See full document

... diffusion equation (not of neutral type) with non-monotone reaction, we firstly cite the paper by Ma ...sion equation (3) with non-monotone function f by constructing two auxiliary equations ... See full document

... one periodic solution for the p-Laplacian-like system with a fixed ...p-Laplacian-like neutral functional differential equation, and they established some criteria to guarantee the existence of ... See full document

... of Periodic Solu- tions for Nonlinear Neutral Dynamic Equations with Va- riable Delay on a Time Scale,” Communication in Nonli- near Science and Numerical Simulation, ... See full document

... of neutral type with both retarded and advanced arguments caused by the finite propagation of the interaction – the basic assumption of the Einstein relativistic ... See full document

... Rayleigh equation can be derived from many fields, such as physics, mechanics and engineering technique fields, and an important question is whether this equation can support periodic ...of ... See full document

... This paper studied the existence results of positive periodic solutions in shifts δ ± for a neutral functional dynamic equation on time scales. The application of the main results have been ... See full document

... of solutions to () are described in detail in ...of oscillatory solutions to a generalization of this equation was proved (see also [] ...of oscillatory solutions to () with ... See full document

... of solutions, it has been used in many re- search areas, such as Hamiltonian system, delay equations, biomathematics, neural net- works, partial differential equation; see [3–8] and the relevant references ... 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 ...of periodic solutions of neutral equations and ... See full document

... BAINOV, .D.D., MYSHKIS, A.D., ZAHARIEV, A.I., Oscillating Properties of the Solutions of a Class of Neutral Type Integro-Differential Equations, Bull of the Institute of Math.. Academia [r] ... See full document

... In the past, many useful methods such as Hale [1], Fink [2] and [3] were developed to study the almost periodic differential equations. Such equations have diversified applica­ tion in the field o f biology, ... See full document

... homogeneous boundary value condition and time-periodic condition. For the case of a smooth bounded domain with spatial dimension N ≤ 3, we prove the existence of classical nontrivial periodic ... See full document

... Equation (.) with f (x, t) =  arises naturally as a continuum model for the formation of quantum dots and their faceting; see []. It can also be used to describe competition and exclusion of biological ... See full document

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

... of periodic solu- tions for nonlinear second-order differential equations ...of periodic solutions for the nonlinear third-order differential equations is a difficult ... See full document

... differential equation P(D)x = a of the nth order with constant coefficients and to a sys- tem of linear differential equations of the first order with constant coefficients in a Banach space H ... See full document

... parabolic equation with logistic periodic ...nonnegative periodic solutions by monotonicity ...nonnegative periodic solutions, by which we show that the attraction of nontrivial ... See full document