共查询到20条相似文献,搜索用时 15 毫秒
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By means of the continuation theorem of coincidence degree theory, we study a kind of n-order neutral functional differential equation. Some new results on the existence of periodic solutions are obtained. 相似文献
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In this paper, by the theory of Fourier series, Bernoulli number theory and continu-ation theorem of coincidence degree theory, we study a kind of higher order functional differential equation with two deviating arguments. Some new results on the existence of periodic solutions are obtained. 相似文献
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Xiulin Hu Dept.of Math.and Physics Hefei University Hefei Zongfu Zhou 《Annals of Differential Equations》2012,(1):48-57
In this paper,using the principle of a priori boundedness,we study the existence and uniqueness of periodic solutions to a high-order neutral functional differential equation.Some new results for the existence and uniqueness of the periodic solution are obtained. 相似文献
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《Annals of Differential Equations》2010,(4):494-501
In this paper, we study a kind of p-Laplacian differential equation and obtain some new results on the existence of infinite periodic solutions. 相似文献
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《Annals of Differential Equations》2010,(2):165-173
By the generalized Borsuk theorem in coincidence degree theory, a p-Laplacian neutral functional differential equation is studied. A new result on the existence of periodic solution is obtained. The interest is that some coeffcient in it is not a constant function and its sign can be changeable, which is different from that in the known literatures. 相似文献
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一类中立型泛函微分方程周期解问题 总被引:6,自引:0,他引:6
本文利用Fourier级数理论和不动点原理研究了一类中立型泛函微分方程(NFDES):(d/dt)∫「dD(s)」x(t+s)=∫r「DL(s)」x(t+s)+Nx(t)的周期解问题,得到了解的存在性和唯一性的新结果,所得结果推广和改进了文「5」的工作。 相似文献
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Lili Gao Dept.of Math.and Physics Bengbu College Bengbu Anhui Lianglong Wang 《Annals of Differential Equations》2012,(1):32-37
This paper is concerned with the existence of positive periodic solutions to a second order functional differential equation with infinite delay.Under the appropriate conditions,some existence and multiplicity of positive periodic solutions are derived by an abstract fixed-point theorem. 相似文献
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本文利用Fourier级数理论和Mawhin重合度拓展定理研究一类中立型泛函微分方程的周期解存在性问题.在其对应的特征方程具有零特征根的条件下,得到了周期解存在性的新结果. 相似文献
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Jiabu Dishen 《Annals of Differential Equations》2014,(4):394-397
A new and convenient method is used to study the existence of periodic solutions to neutral functional differential equations with infinite delay. A new criterion for the existence of periodic solutions is obtained in this paper. 相似文献
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In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin's coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided. 相似文献
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1 IntroductionThe problem of periodic solutions of nonlineax dtherential equations has been one Of thecenter problem to the tI1eory of differelltial equatiol1, it 11as wide application baCkground(8uchas fOrce oscillatioll of telecomnmnication, periodic euvironment in econondc system, etc.), soit has been a popular subject in the research work. In this paperl we discuss the problem ofperiodic solutions of the fOllowing nolllinear lleutral functional differential equatiollsd,dtD(ft xt) = f(f, … 相似文献
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利用变分原理和Z_2不变群指标,得出二阶泛函微分方程x″(t-τ)+c(x(t)-x(t-2τ))′-x(t-τ)+λf(t,x(t),x(t-τ),x(t-2τ))=0的多重周期解的存在性质. 相似文献
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POSITIVE PERIODIC SOLUTION TO SECOND-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH MIXED DELAY
We discuss two types of second-order neutral functional differential equations with mixed delay in this paper. By applying Krasnoselskii's fixed-point theorem, some results about the existence of positive periodic solution to the systems are obtained, which complement the previous known results. 相似文献
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《Annals of Differential Equations》2012,(1):21-25
A priori bounds are established for periodic solutions to a functional differential equation with delay.By means of these bounds,an existence theorem for periodic solutions is obtained using Mawhin’s continuation theorem.Our work generalizes the known result. 相似文献
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Li Zhilong 《Annals of Differential Equations》2008,(4):395-399
By virtue of the fixed point indices, we discuss the existence of the multiple positive periodic solutions to singular differential equation with state-dependent delay under the conditions concerning the first eigenvalue of the relevant linear operator. The results in this paper are optimal and totally generalize many present results. 相似文献
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Yuan Rong 《数学年刊B辑(英文版)》1995,16(4):521-532
ALMOSTPERIODICSOLUTIONSOFNEUTRALFUNCTIONALDIFFERENTIALEQUATIONSWITHNONAUTONOMOUSOPERATOR¥YUANRONG(DepartmentofMathematics,Bei... 相似文献