共查询到20条相似文献,搜索用时 15 毫秒
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Zhang Linli~ Liu Anping~ Chang Tao~ 《Annals of Differential Equations》2007,23(4):581-585
In this paper,by means of iterative analysis,the existence for periodic boun- dary value problem of first-order integro-differential differential equations are considered.Some new results are obtained. 相似文献
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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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PERIODIC BOUNDARY VALUE PROBLEMS FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS OF MIXED TYPE IN BANACH SPACES 总被引:1,自引:0,他引:1
1.IntroductionInthispaper,weinvestigatetheperiodicboundaryvalueproblem(PBVP)forfirstordernonlinearimpulsiveintegro-differentialeauationsofmixedtypeinaBanachspaceE:wherefEC[JxExExE,E],J=[0,2r]ticECIE,E](k=1,2,',m:KECID,R ],D={(t,s)EJxJ:t2s},HEC[JxJ,R ],R denotesthesetofallnonnegativenumbers,and0相似文献
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THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEM 总被引:10,自引:0,他引:10
唐荣荣 《Annals of Differential Equations》2004,20(4):407-412
In this paper, using the differential inequality and singularly perturbed theory, the singularly perturbed boundary value problems for nonlinear integro-differential system has been studied. Under some appropriate assumptions, the existence of solution has been proved and the uniform validness of the asymptotic expansions for arbitrary nth-order have been obtained simply and conveniently. 相似文献
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1 IntroductionIt is well known that the monotonic iterative technique is a successfulmethod to obtain the extremal solutions of ODE or IDE with fixed time (see[IJ, [2]). Some results about the monotonic iterative technique for IDE withvariable time were obtained in the past few years (see [3--7]). Because thetheory of IDE with variable time is more complicated than that of IDE withfixed time, many authors considered the special case in which the pulse surfacet = T(x) is strictly monoton… 相似文献
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BOUNDARY VALUE PROBLEM FOR NONLINEAR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATION IN BANACH SPACE 总被引:1,自引:0,他引:1
In this paper, by establishing a new comparison result and using the monotone iterative technique, the existence of maximal and minimal solutions of the boundary value problem for second-order impulsive differential equation which depends on x' in Banach space is obtained. 相似文献
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蔡建平 《Annals of Differential Equations》2004,20(1):14-20
This paper investigates the periodic boundary value problems for a class of second order functional differential equations. The monotone iterative technique and the maximum principle are applied to obtain the existence of maximal and minimal solutions. 相似文献
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In this paper we consider a nonlinear first-order boundary value problem on a time scale. The existence results of three positive solutions are obtained using fixed point theorems. Finally,examples are presented to illustrate the main results. 相似文献
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By a fixed point theorem in a cone,the existence of at least three positive solutions to a class of second-order multi-point boundary value problem for dynamic equation on time scales with the nonlinear term depends on the first order derivative is studied. 相似文献
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拟线性积分微分方程系统的奇摄动边值问题 总被引:5,自引:0,他引:5
本文研究高维拟线性积分微分方程系统边值问题的奇摄动,在适当的条件下,利 用渐近分析方法和对角化技巧,证得解的存在性,同时给出解的渐近展开式及其相应的 余项估计. 相似文献
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半线性拟双曲型积分微分方程的初边值问题和初值问题 总被引:12,自引:3,他引:9
本文讨论半线性拟双曲型积分微分方程的初边值和初值问题。用积分方程的理论和Galerkin方法证明了问题的整体强解的存在性、唯一性和正则性。 相似文献
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In this paper, we are concerned with the symmetric positive solutions of a 2n-order boundary value problems on time scales. By using induction principle, the symmetric form of the Green''s function is established. In order to construct a necessary and sufficient condition for the existence result, the method of iterative technique will be used. As an application, an example is given to illustrate our main result. 相似文献
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1IntroductionThemethodofupperandlowersolutionshasbecomeastandardtoolforstudyingthesolvabilityoftwo-pointboundaryvalllcproblemsassociatedwitllsecond-ordernonlineardifferentialequations.Inrecent,years,Rachunkovd[1,2,3]studiedthefour--pointboundaryvalueprobl… 相似文献
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Jingli Xie Guoping Chen Dept. of Math. Jishou University Jishou Hunan 《Annals of Differential Equations》2010,(1):87-93
By developing a comparison result and using the monotone iterative technique, we obtain the existence of the minimal and the maximal solutions to an integral boundary value problem for first order impulsive integro-differential equations. 相似文献
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The author employs the method of upper and lower solutions together with the monotone iterative technique to obtain the existence theorem of minimal and maximal solutions for a boundary value problem of second order impulsive differential equation. 相似文献