[PDF] Top 20 Existence of periodic solution for generalized neutral Rayleigh equation with variable parameter

... to neutral equations ...ous periodic []. The study on neutral differential equations is more intricate than that on ordinary delay differential ...on periodic solutions for neutral ... See full document

... differential equation and a fixed point theorem in cones, we obtain sufficient conditions for the existence, mul- tiplicity and nonexistence of positive periodic solutions to the third-order ... See full document

... the existence of a periodic solution for a p-Laplacian neu- tral Rayleigh equation with singularity of attractive ...a periodic solution for equation ... See full document

... with |c| =  a constant. However, there are several errors in the proof of Theorems . and . of []. The main purpose of this paper is to improve the results of [] and modify the errors. Meanwhile, the problem ... See full document

... the existence of periodic solutions for some kinds of differential equations; see ...a variable c(t), we generalized the results of [] and obtained the following ... See full document

... Considering that (2.1) is more analogous to the two-dimensional case and motivated by the results obtainedby Chen [2, 3], the authors introduce the transformations η = t, ξ = x + y/4t, and θ = y/x. One can argue that ... See full document

... We invert the given equation to construct a fixed point mapping expressed as a sum of a large contraction and a compact map. We show that such a sum of mappings fits very nicely into the frame- work of ... See full document

... original equation obtained by Boussinesq is not the only mathematical model for small amplitude, planar, and undirectional long waves on the surface of shallow ...Vries equation (referred to KdV ... See full document

... the existence of periodic solutions were ...p-Laplacian neutral differential equation ...p-Laplacian neutral differential equation, has not attracted much attention in the ...the ... See full document

... lower-order neutral functional differential equations, while studies on higher-order neutral functional differential equations are rather infrequent, especially on higher-order p-Laplacian neutral ... See full document

... the existence of a periodic solution for p-Laplacian neutral Rayleigh ...some existence results of periodic solutions to p-Laplacian neutral Rayleigh ... See full document

... high-order neutral differential equa- tion with ...the existence of a positive periodic solution for the following neutral Liénard equation with ... See full document

... new existence criterion of a positive periodic solution through an application of coincidence degree ...are generalized and significantly ... See full document

... By using the Manásevich-Mawhin continuation theorem and some analysis skills, we establish some sufficient condition for the existence and uniqueness of positive T-periodic solutions for a generalized ... See full document

... curvature equation and its modified forms have been studied widely since they arise from some certain problems associated with differen- tial geometry and physics such as combustible gas dynamics; see [–] and the ... See full document

... a periodic time scales with the period ...is periodic with period T if there exists a natural number n such that T = nw, f (t ± T ) = f (t) for all t ∈ T and T is the smallest number such that f (t ± T ) = ... See full document

... DOI: 10.4236/am.2017.810107 1471 Applied Mathematics Conclusion 1. This work is concerned with studying a dynamics and behavior of solutions of a new class of difference Equation (1) . Our results extend and ge- ... See full document

... the existence of the periodic solutions of the KDV type of equation with respect to time variable with periodic external ...original equation to the integral equation. The ... See full document

... The parameter is the initial age distribution, is the mortality function and M is the natality function, where, 2, 1 is the density of the population with respect to the chronological age 2O0, ∞ at time 1 ≥ 0; K1 ... See full document

... the existence of periodic solutions for a p-Laplacian differential equa- tion was extensively studied (see [–] and the references ...differential equation; see [–]. In [], Ding et al. investigate ... See full document