共查询到20条相似文献,搜索用时 31 毫秒
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1.IntroductionConsiderthefirstorderdifferentialequationwithdeviatingargumentoftheformX'(t) p(t)x(T(t))~0,t2to(1)where,p,reC([t,' co),R),tim,-ocr(t)~~andrisnondecreasingon[t,,co))'TheoscillatorybehaviourofsolutionsofEq.(1)hasbeeninvestigatedbythanyauthors.WerefertothemonographsbyErbe,KongandZhang[fi,andthepapers[2--6j.Mostoftheknownresults,however,dealwithequationswithretardedoradvancedarguments.ConsiderablylessisknownaboutthebehaviourofthesolutionsofEq.(1)whenitisofmixedtype,thatis,thedevi… 相似文献
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This paper deals with impulsive second order differential equations with deviating arguments. We investigate the existence of solutions of such problems with nonlinear boundary conditions. To obtain corresponding results we discuss also second order impulsive differential inequalities with deviating arguments. 相似文献
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This paper is concerned with the existence of solutions for systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions. By establishing new comparison results and applying the monotone iterative technique, we obtain the sufficient conditions for the existence of extremal system of solutions. 相似文献
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This paper considers fourth-order differential equations with four-point boundary conditions and deviating arguments. We establish
sufficient conditions under which such boundary-value problems have positive solutions. We discuss such problems in the cases
when the deviating arguments are delayed or advanced. In order to obtain the existence of at least three positive solutions,
we use a fixed-point theorem due to Avery and Peterson. To the authors’ knowledge, this is a first paper where the existence
of positive solutions of boundary-value problems for fourth-order differential equations with deviating arguments is discussed. 相似文献
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TangXianhua YuJianshe 《高校应用数学学报(英文版)》2000,15(1):21-27
Abstract. In this paper ,some new properties of solutions of the first order nonlinear differential inequalities with deviating arguments are given. These results improve many corresponding ones in the literature. 相似文献
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一阶非线性具连续分布变偏差微分方程解的振动性 总被引:2,自引:0,他引:2
本文建立了两类一阶具连续分布变偏差微分方程的所有解都振动的若干充分条件,所得结果推广并改进了现有文献中的一些结果. 相似文献
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Tadeusz Jankowski 《Journal of Mathematical Analysis and Applications》2005,312(2):620-636
The monotone iterative technique is used to boundary problems for second order ordinary differential equations with deviating arguments. Corresponding results are formulated when the problem has extremal solutions or weakly coupled extremal quasi-solutions. 相似文献
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T. Jankowski 《Journal of Optimization Theory and Applications》2011,149(1):47-60
This paper considers the existence of positive solutions of four-point boundary value problems for fourth-order ordinary differential
equations with deviating arguments and p-Laplacian. We discuss such problems in the cases when the deviating arguments are delayed or advanced, what may concern optimization
issues related to some technical problems. To obtain the existence results, a fixed point theorem for cones due to Avery and
Peterson is applied. According to the Author’s knowledge, the results are new. It is a first paper where a fixed point theorem
for cones is applied to fourth-order differential equations with deviating arguments and p-Laplacian. An example is included to verify the theoretical results. 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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OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF A CLASS OF FIRST ORDER NEUTRAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY 总被引:1,自引:0,他引:1
冯月才 《Annals of Differential Equations》2004,20(1):37-40
The oscillatory and asymptotic behavior of a class of first order nonlinear neutral differential equation with piecewise constant delay and with diverse deviating arguments are considered. We prove that all solutions of the equation are nonoscillatory and give sufficient criteria for asymptotic behavior of nonoscillatory solutions of equation. 相似文献
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《Journal of Computational and Applied Mathematics》2005,182(2):290-303
In this paper, we establish several oscillatory criteria for even order neutral differential equations with distributed deviating arguments, which generalize and improve some known results. 相似文献
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一类中立型泛函微分方程的振动准则 总被引:4,自引:0,他引:4
林文贤 《数学的实践与认识》2005,35(6):211-215
考虑了一类具连续偏差变元的高阶中立型方程,得到了该类方程的振动准则,所得结果推广了以往的相应结果,并给出了具体例子. 相似文献
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关于一类偶数阶中立型偏泛函微分方程的振动性的注记 总被引:1,自引:0,他引:1
林文贤 《数学的实践与认识》2008,38(20)
获得了一类具连续偏差变元偶数阶非线性中立型偏微分方程振动性的充分性条件,推广和包含了文献中的相关结果. 相似文献
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Huang Xianyong 《Annals of Differential Equations》2007,23(1):26-34
By using the integral averaging technique, oscillating criteria for certain even order neutral differential equation with deviating arguments are established. These results extend some known oscillation criteria due to Xu and Xia. 相似文献
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In this paper,we study the asymptotic behavior of solutions to a class of higher order nonlinear integro-differential equations with deviating arguments. And some properties of the oscillatory solutions are given. Our results generalize and improve the previous results. 相似文献
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我们利用Mawhin重合度拓展定理,研究了一类时滞三阶微分方程解的存在性问题,得到了其存在2π周期解的新的结果.值得关注的是,我们允许滞量r是一个函数,并且所得结论与时滞ι(t)有关.同时给出一个实例来论证我们的结果. 相似文献
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通过使用Mawhin连续性定理,研究四阶p-Laplacian微分方程多时滞问题(φ_p(x″(t)))″+f(t,x″(t))+(?)β_i(t)g(x(t-γ_i(t)))=p(t)周期解的存在性,并得到了存在周期解的充分性条件 相似文献
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一类二阶具偏差变元的微分方程周期解 总被引:29,自引:0,他引:29
本文利用重合度理论研究一类二阶具偏差变元的微分方程x''(t)+f(t,x(t),x(t-τ0(t)))x'(t)+β(t)g(x(t-τ1(t)))=p(t)的周期解问题,得到了存在周期解的新的结果. 相似文献