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刘衍胜 《数学物理学报(A辑)》2005,25(3):307-314
过构造特殊的锥, 利用有界正线性算子的谱理论及不动点指数理论, 研究了奇异半正边值问题正解的存在性, 改进和推广了有关文献中的结果 相似文献
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BanachSpacesBoundaryValueProblemsforNonlinearDifferentialEquationsofSecondOrderinBanachSpacesCuiChangjunLiuYansheng(Dept.ofMa... 相似文献
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无穷区间上二阶微分方程的边值问题 总被引:5,自引:0,他引:5
刘衍胜 《应用泛函分析学报》2002,4(3):211-216
利用Schauder不动点定理讨论了一类非线性二阶微分方程在无穷区间上的边值问题无界解的存在性,部分改进了郭大钧教授最近得到的结果。 相似文献
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讨论了半直线上非线性耦合系统边值问题,应用Leggett-Williams不动点定理,得到了三个正解的存在性结果,推广并改进了现有结果. 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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1. IntroductionThe models of single-species population growth can be described as the following ordinary differelltial equations(IVP) X' ~ f(x,K(t)), x(to) = xo 2 0, (1.1)where K(t) > 0 is the carrying capacity of the environment. Much has been done underthe assumption that K(t) is either constant or changed periodicallyll-3]. However, onemay easily visualize in nature where abruput changes such as harvesting, and disajsters mayoccur. Consequently, we consider such model with impulses. It … 相似文献
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该文主要研究半直线上具有可数多个脉冲点的边值问题,给出了该系统至少有一个或多个无界解的一些充分条件,同时给出了具体例子. 相似文献
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讨论三阶微分方程周期边值问题解的全局结构,其中ρ∈(0,1/3~(1/2))为常数,λ∈R~+=[0,+∞)为参数,f在t=0,t=2π和u=0处有奇异性,关于u处满足次线性增长条件。 相似文献
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§1. IntroductionRecently,thesemilinearellipticequations△u+f(u)=0(1.1)u(x)→0as|x|→∞(1.2)inRnwereconsideredwidely(see[1]-[7]).Inthenicepapers[1]and[2],itwasprovedthatanypositivesolutionof(1.1)mustberadialincasef(u)∈C1+δ(δ>0).Therefore,anypositivesoluti… 相似文献