共查询到20条相似文献,搜索用时 78 毫秒
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《数学的实践与认识》2017,(17)
研究了一类奇异非线性分数阶微分方程积分边值问题正解的存在性,主要利用Green函数和Guo-Krasnoselskii不动点定理,得到方程正解存在性的新结果,结果改进和丰富了一些已有的研究结论. 相似文献
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利用Krasnoselskii不动点定理,研究了带Lalacian型算子的三点边值问题正解的存在性,得到其存在正解的充分条件,改进和丰富了以往文献的一些结论. 相似文献
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研究了一类四阶奇异边值问题正解的存在性,在f和g满足比超线性和次线性条件更广泛的极限条件下,利用锥压缩和拉伸不动点定理获得了正解的存在性结果,推广和包含了一些已知结果. 相似文献
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Logistic差分方程单个和多重周期正解的存在性 总被引:1,自引:0,他引:1
研究了Logistic差分方程单个和多重周期正解的存在性理论,利用锥不动点定理证明了解的存在性,并应用本文的理论验证了一些生物数学模型. 相似文献
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运用锥拉伸与压缩不动点定理,研究一类泛函积分方程的正解.把所得结果应用于研究常微分方程积分边值问题正解的存在性,所得结果推广和本质上改进了马如云等作者最近的一些结果. 相似文献
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张丽娟 《数学的实践与认识》2008,38(22)
主要研究了具有奇异一阶周期系统正解的存在性,证明了一阶周期系统在点(x,y)=(0,0)处具有奇异性时,在一些合理的条件下,此问题正解的存在性.证明主要依赖非线性Leray-Schauder抉择定理和Krasnoselskii锥不动点定理,同时在证明过程中格林函数也起了非常重要的作用. 相似文献
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Liu Yicheng Li Zhixiang 《Annals of Differential Equations》2005,21(3):362-365
We study the periodicity of the positive solutions of a class of difference equations with maximum. We prove that every positive solutions of these equations are eventually periodic. 相似文献
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The oscillation of a delay difference equationis studied and the necessary and sufficient condition for all positive solutions of (E) to oscillate about its positive equilibrium is obtained. 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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p-Laplace型非线性泛函差分方程正解的存在性 总被引:4,自引:0,他引:4
作者研究下述的p-Laplace型非线性泛函差分方程边值问题正解和多重正解的存在性,得到相应的充分条件,其中Φp(u)=|u|p-2u,P>1,(?)(0)= 0,C+={(?):(?)∈ C,(?)(k)≥0,k∈[-r,0]). 相似文献
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研究非自制差分方程x_(n+1)=p_n+(x_(n-3s-2)/x_(n-8)),其中p_n>0是一K周期序列.最后得到了方程解的有界性的一些充分条件. 相似文献
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Certain linear autonomous delay as well as neutral delay difference equations are considered. A class of linear autonomous delay difference equations with continuous variable is also considered. Some results on the behavior of the solutions are established via two distinct positive roots of the corresponding characteristic equation. 相似文献
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Lin Xiaoyan 《Annals of Differential Equations》2005,21(3):327-330
In this paper, a class of nonlinear difference equations are investigated. The sufficient conditions for the nonexistence of positive solutions are obtained. The results in this paper improve ones in [2]. 相似文献
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Dai Binxiang Zhang Na 《Annals of Differential Equations》2007,23(2):136-140
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree,some sufficient conditions are established for the global existence of positive periodic solutions of a class of delayed nonlinear difference equations. 相似文献
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The Existence of Three Positive Solutions for $p$-Laplacian Difference Equation with Delay 下载免费PDF全文
Linjun Wang & Chengchun Gong 《数学研究通讯:英文版》2012,28(4):337-348
In this paper, we study the multiplicity of positive solutions for a class
of $p$-Laplacian difference equations with delay. We propose sufficient conditions for
the existence of at least three positive solutions and we also provide two numerical
examples to illustrate the theoretical results. 相似文献