共查询到20条相似文献,搜索用时 15 毫秒
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本文研究了一类非线性分数阶泛函微分方程.利用锥拉伸与锥压缩不动点定理,得到这类分数阶泛函微分方程的正解的存在性,推广了马如云的结果. 相似文献
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本文在不假定算子具有紧性,连续性或对称压缩的条件下,研究了混合单调算子方程解的存在与唯一性。 相似文献
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Wu Jiongqi 《Annals of Differential Equations》2005,21(4):592-597
In this paper N-dimensional singular, p-Laplace equations of the following form are considered, where p ≥N, β > 0, and f : [0,∞)×(0,∞)×[0, ∞)→[0,∞) is a continuous function. Some sufficient conditions are obtained for the existence of infinitely many radially positive entire solutions of the equation which are asymptotic to positive constant multiples of |x|(p-N)/(p-1) for p > N or log|x| for N = p as |x|→∞. 相似文献
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一类非线性方程正解的存在唯一性 总被引:14,自引:0,他引:14
本文证明了形如A=B+C的算子,其中B为线性算子,C为ψ-凹算子不动点的存在唯一及迭代收敛性,并将所获结果就用于常微分方程,偏微分方程和各人分方程得到了新的结论。 相似文献
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In this paper, we use cone theory and a new method of computation of fixed point index to study a system of nonlinear Hammerstein type integral equations, and the existence of multiple positive solutions to the system is discussed. 相似文献
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Xiaofei Wu Xidong Sun 《Annals of Differential Equations》2014,(3):340-351
Using a fixed point method, in this paper we discuss the existence and uniqueness of positive solutions to a class system of nonlinear fractional differential equations with delay and obtain some new results. 相似文献
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In this article, we study the existence of sign-changing solutions for the following SchrSdinger equation
-△u + λV(x)u = K(x)|u|^p-2u x∈R^N, u→0 as |x|→ +∞,
2N where N ≥ 3, λ〉 0 is a parameter, 2 〈 p 〈 2N/N-2, and the potentials V(x) and K(x) satisfy some suitable conditions. By using the method based on invariant sets of the descending flow, we obtain the existence of a positive ground state solution and a ground state sign-changing solution of the above equation for small λ, which is a complement of the results obtained by Wang and Zhou in [J. Math. Phys. 52, 113704, 2011]. 相似文献
-△u + λV(x)u = K(x)|u|^p-2u x∈R^N, u→0 as |x|→ +∞,
2N where N ≥ 3, λ〉 0 is a parameter, 2 〈 p 〈 2N/N-2, and the potentials V(x) and K(x) satisfy some suitable conditions. By using the method based on invariant sets of the descending flow, we obtain the existence of a positive ground state solution and a ground state sign-changing solution of the above equation for small λ, which is a complement of the results obtained by Wang and Zhou in [J. Math. Phys. 52, 113704, 2011]. 相似文献
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高阶非线性中立型方程正解的渐近性及存在性 总被引:2,自引:0,他引:2
本文利用非线性分析中半序方法和增算子不动点定理,对高阶非线性中立型方程正解的渐近性进行了详细分类,并且给出了各种类型正解存在的充要条件和具体例子. 相似文献
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Using a fixed point theorem,this paper discusses the existence and uniqueness of positive solutions to a system of nonlinear delay fractional differential equations and obtains some new results. 相似文献
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2p和2q阶联立微分方程组的正解性 总被引:1,自引:0,他引:1
利用锥上不动点指数理论研究2p,2q阶非线性高阶常微分方程组边值问题,通过相应的线性问题的第一特征值,建立了其正解的存在性与多解性定理.讨论了其参数$\lambda,\mu$对其正解存在性与多解性的影响,给出了利用特征值刻划的较为本质的结果.突破了以往文献要求方程组同阶和非线性项单调,在零点或无穷远点超线性或次线性增长的限制. 相似文献
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宋光兴 《数学物理学报(B辑英文版)》2003,23(4)
By using partial order method, the existence, uniqueness and iterative approximation of solutions for a class of systems of nonlinear operator equations in Banach space are discussed. The results obtained in this paper extend and improve recent results. 相似文献
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本文得到具以下形式的非线性差分方程存在有界单增正解的充分条件△(rk(△yk-1)p-1)+skykp-1=0 (1)其中p>1{rk}∞k=1为正数列,{sk}∞k=1是非负数列. 相似文献
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运用不动点指数理论,研究以下$n$阶非线性常微分方程组边值问题正解的存在性和多重正解的存在性\[\left\{\ay\begin{array}{l}-u^{(n)}=f_1(x,u,v),\q-v^{(n)}=f_2(x,u,v),\\[2mm]u^{(i)}(0)=u^{(p)}(1)= v^{(i)}(0)=v^{(p)}(1)=0.\end{array}\right. \] 这里$n\geq 2$, $i = 0,1,2,\cdots,n-2$, $p \in \{1,2,\cdots,n-1\}$, $f_i\in C([0,1]\times\mathbb R^+\times\mathbb R^+,\mathbb R^+)~(i=1,2)$. 用凹函数刻画非线性项$f_1,f_2$的耦合行为, 因而非线性项 $f_i(i=1,2)$ 既可以都是超线性的, 也可以都是次线性的,还可以是混合非线性的(即其中一个是超线性的, 另一个是次线性的). 相似文献
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Banach空间中n阶非线性微分积分方程初值问题解的存在与唯一性 总被引:1,自引:1,他引:0
用压缩映象原理研究Banach空间中定义在无界域上的n阶非线性Volterra型微分积分方程初值问题,获得了解的存在与唯一性及其迭代逼近新结果。 相似文献
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THE EXISTENCE OF MULTIPLE POSITIVE SOLUTION OF NONLINEAR NEUTRAL DIFFERENCE EQUATION 总被引:3,自引:0,他引:3
刘斌 《Annals of Differential Equations》2000,(2)
1IntroductionRecently,anumber0fmeth0dswereempl0yedf0r0btainingp0sitivesolu-tionstodifferenceequations,includingc0mparis0nprinciples,Schaudertypefixedp0inttheorem,Banach'scontractionprinciple,methods0fsuper-andlower-s0luti0ns,themethods0fpositive0perators,andso0n[1-4].Inthispa-per,wewillutilizethefixedpointindextheoryt00btainanexistencecriteriafOrmu1tiplep0sitivesolutionsofn0nlinearneutraldifferenceequationwheren,bi(15z5m1)andry(15j5m2)arep0sitiveinteger,{ci(k)}7=,(l5i5ml)and{pj(k)}7=,(15j5m2)… 相似文献
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本文研究了四阶周期边值问题{u4(t)-βu″(t)+αu(t)=f(t,u(t),u′(t),u″(t),u′′′(t)),t∈[0,1],ui(0)=ui(1),i=0,1,2,3正解的存在性,其中f:[0,1]×[0,+∞)×R3→[0,+∞)连续.利用锥上的不动点指数理论,获得了该问题正解的存在性结果,推广了已有文献的相关结果. 相似文献
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This paper deals with the existence of positive solutions to the singular secondorder periodic boundary value problem. We obtain the existence results of positive solutions by the fixed point index theory. The results obtained extend and complement some known results. 相似文献