共查询到20条相似文献,搜索用时 15 毫秒
1.
Boussinesq型方程的周期边界问题与初值问题的解的存在性 总被引:6,自引:0,他引:6
本文研究“坏的Boussinesq型方程utt-buxxx=σ(u)xx的周期边界问题与初值问题的解的存在性问题,其中b〉0为常数,证明了在相当宽松的条件下,上述问题存在局部广义解。 相似文献
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具扰动项的时滞Logistic方程的周期解 总被引:7,自引:0,他引:7
本文首先讨论一类时滞微分方程的周期解的存在性,然后将本文结果应用到具扰动项的 时滞Logistic方程得出其正周期解的存在性,本文结果推广和改进了「1」和「6」的相应结果。 相似文献
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The existence of an almost periodic solutions to a nonlinear delay diffierential equation is considered in this paper. A set of sufficient conditions for the existence and uniqueness of almost periodic solutions to some delay diffierential equations is obtained. 相似文献
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Ni Hua 《Annals of Differential Equations》2007,23(3):312-318
In this paper,by using successive approximation method and fixed-point theorem,we discuss a class of infinite delay integral equation and obtain some sufficient conditions which guarantee the existence and uniqueness of the peri- odic and almost periodic solutions of the system. 相似文献
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A new fixed point theorem is presented and sufficient conditions are obtained for the existence, uniqueness and global attractivity of a positive almost periodic solution to a delayed differential equation with almost periodic factors. 相似文献
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本文在Banach空间PC(J)上研究了一阶脉冲微分方程的周期解.利用迭代分析法得到了一阶脉冲微分方程周期解的存在唯一性和其解在Banach空间PC(J)上的范数估计. 相似文献
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In this article,the interior layer for a second order nonlinear singularly perturbed differential-difference equation is considered.Using the methods of boundary function and fractional steps,we constr... 相似文献
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雷岩松 《高校应用数学学报(A辑)》1991,6(1):110-117
本文研究人口动力学中一类含时滞周期反应-扩散方程的正周期解问题;利用紧算子的全局分歧结果给出了这个方程正周期解存在的充分必要条件。 相似文献
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1IntroductionThelogisticequation([8],l12])isoneoftheelementaryandmathematicallysimplemodelsusedtodescribethetempora1evolutionofasinglespeciespopulationinaconstantenvironment,inwhichaand5arepositiveconstants;aisrelatedtothereproductionofthespecieswhilebisrelatedtothecapacityofenvironmenttosustainthepopu1ation.Itisknownthatsoltitionsof(1.1)aremonotonicfunctionsoftwithlimN(t)=tifN(o)>o.Ithasbeenfoundthatsuchamonotonict-ooconvergencetofheequilibriumisnotrealisticincertainlaboratorypopulationsinte… 相似文献
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本文讨论的是一类奇次周期Riccati型方程的周期解问题,利用数学归纳法,得到了奇次周期Riccati型方程周期多个周期解存在的充分条件,并且给出了定理实现的例子。 相似文献
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Wang Youyu Ge Weigao 《Annals of Differential Equations》2005,21(3):431-434
The existence of periodic solutions is proved for the higher order nonlinear differential equation by applying Leray-Schauder principle and Wirtinger's inequality. 相似文献
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Qin Maochang 《Annals of Differential Equations》2006,22(4):546-550
Using the Krasnoselskii's fixed point theorem, the existence of positive periodic solutions to a class of nonlinear functional difference equations is studied in this paper. Some sufficient conditions for the existence of positive periodic solutions are presented. 相似文献
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In this paper, we consider a one-dimensional nonautonomous neutral differential equation. We obtain sufficient conditions under which the zero solution to this equation with unbounded delay and perturbation is uniformly asymptotically stable. 相似文献
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1IntroductionConsiderthefolowingperiodicdelayLogistictypepopulationdN(t)dt=r(t)N(t)1-x(t-τ(t)K(t)θ,(1.1)withaninitialconditio... 相似文献
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1IntroductionIfl1939,N.N.Bautill[1,2]studiedasystemofcouplednolllilleardifferelltialequations'whichhasseverall'eaturcsofinterestforthestudyofchemicaloscillations.M*-L.Sinoes[3]showedthatfurthertheBautinsystemisaveryadequatemodelforchemicaloscillations,the… 相似文献
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Van der Pol方程周期解的分解算法 总被引:1,自引:0,他引:1
1 引言 动力系统周期解方程的研究是一个重要而有兴趣的问题,当系统周期解的方程能够写出来时,不但可以确定它的准确或近似位置,而且还可以研究当周期解因微分方程中的参数变动而消失时,它是否跑到二维复空间中去,对于人所熟知的van der Pol方程 相似文献