共查询到20条相似文献,搜索用时 0 毫秒
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This work deals with the existence of positive -periodic solutions for the first order neutral differential equation. The results are established using Krasnoselskii’s fixed point theorem. An example is given to support the theory. 相似文献
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By utilizing a fixed point theorem in cones, we present some sufficient conditions which guarantee the existence of multiple positive periodic solutions for a class of differential equations with state-dependent delays. Our results extend and improve some previous results. 相似文献
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We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated. 相似文献
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In this paper, by using the theory of abstract continuous theorem of k-set contractive operator and some analysis techniques, we obtain some sufficient conditions for the existence of positive periodic solutions for a neutral population model with delays and impulse. 相似文献
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By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation dN/dt=N(t)[a(t)-β(t)N(t)-b(t)N(t-a(t))-c(t)N(t-τ(t))] 相似文献
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Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator 下载免费PDF全文
Shi Ping Lu 《数学学报(英文版)》2016,32(12):1541-1556
In this paper, the authors consider the problem of existence of periodic solutions for a second order neutral functional differential system with nonlinear difference D-operator. For such a system, since the possible periodic solutions may not be differentiable, our method is based on topological degree theory of condensing field, not based on Leray Schauder topological degree theory associated to completely continuous field. 相似文献
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Ruyun Ma 《Journal of Mathematical Analysis and Applications》2011,384(2):527-535
We consider the existence of positive ω-periodic solutions for the equation
u′(t)=a(t)g(u(t))u(t)−λb(t)f(u(t−τ(t))), 相似文献
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《Applied Mathematics Letters》2005,18(11):1256-1264
In this paper, we discuss the existence of positive periodic solutions to the nonlinear differential equation where is an -periodic continuous function with , is continuous and is also an -periodic function for each . Using the fixed point index theory in a cone, we get an essential existence result because of its involving the first positive eigenvalue of the linear equation with regard to the above equation. 相似文献
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Zhenguo Zhang Aijun Yang Congna Di 《Journal of Applied Mathematics and Computing》2007,25(1-2):245-253
In this paper, the existence of bounded positive solution of the second-order nonlinear neutral differential equations are studied. Some new sufficient conditions are given. Furthermore, examples given show that the results here are almost sharp. 相似文献
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利用有关不等式,本文首先获得一类非线性中立型微分方程一个新的先验估计.基于解的先验估计以及迭合度理论,给出了这类中立型微分方程存在周期解的一个充分条件. 相似文献
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Tuncay Candan 《Mathematical Methods in the Applied Sciences》2017,40(1):205-209
This paper presents the existence of positive periodic solutions for first‐order neutral differential equation with distributed deviating arguments. We apply Krasnoselskii's fixed point theorem to obtain our results. An example is given to support the theory. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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In this work, we deal with a new existence theory for positive periodic solutions for two kinds of neutral functional differential equations by employing the Krasnoselskii fixed-point theorem. Applying our results to various mathematical models we improve some previous results. 相似文献
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《Journal of Mathematical Analysis and Applications》1987,125(1):192-202
Sufficient conditions for the existence of periodic solutions of nonlinear systems of differential equations with impulses in a canonic domain have been found in the paper. 相似文献
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Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays
Valéry Covachev Zlatinka Covacheva Haydar Akça Eada Ahmed Al-Zahrani 《Central European Journal of Mathematics》2003,1(3):292-314
A neutral impulsive system with a small delay of the argument of the derivative and another delay which differs from a constant
by a periodic perturbation of a small amplitude is considered. If the corresponding system with constant delay has an isolated
ω-periodic solution and the period of the delay is not rationally dependent on ω, then under a nondegeneracy assumption it
is proved that in any sufficiently small neighbourhood of this orbit the perturbed system has a unique almost periodic solution. 相似文献
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ZhangZhengqiu WangZhicheng 《高校应用数学学报(英文版)》2001,16(4):355-363
The sufficient condition for the existence of non-constant periodic solutions of the following planar system with four delays are obtained: 相似文献
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Yunhong Li Yanping Guo Guogang Li 《Communications in Nonlinear Science & Numerical Simulation》2009,14(11):3792-3797
This paper is concerned with boundary value problems for systems of nonlinear third-order three-point differential equations. Using fixed-point theorems, the existence of positive solutions is obtained. 相似文献
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In this paper, by using the theory of abstract continuation theorem of k contractive operator, we study the existence of periodic solutions for neutral type cellular neural networks with delays. 相似文献