共查询到19条相似文献,搜索用时 93 毫秒
1.
建立了 Volterra 积分方程和离散方程存在三个非负解的一些标准.问题的证明中运用了Leggett Williams不定点理论. 相似文献
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本文研究了一类一阶中立型泛函微分方程周期解的存在性问题.采用合适的算子并应用Leggett-Williams不动点定理,获得了该方程具有三个非负ω-周期解的充分条件 相似文献
3.
用变分方法证明H~1(R~N)上一个带限制的半线性椭圆特征问题解的存在性.所获得的三个解:一个是正解,一个是负解.对于第三个解,本文只证明了它的存在性,而没有确定它是正解,负解,还是变号解. 相似文献
4.
本文论讨了三个问题:①二阶非线性微分方程的初值问题;②运用非线性算子证明了非平凡解的存在性和唯一性;③给出了一个非负非平凡解的估计式. 相似文献
5.
应用分离变量法,得到了一类二阶微分方程初值问题存在无穷多个非负解的充分必要条件,并给出了所有的无穷多个非负解.。 相似文献
6.
二阶三点边值问题多解的存在性 总被引:1,自引:0,他引:1
利用格结构下的不动点定理,研究了二阶三点边值问题u'(t)+f(t,u(t))=0,0≤t1,u(0)=0,u(1)=ɑu(η)存在多个解,其中至少存在一个正解,一个负解,一个变号解. 相似文献
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谢虹 《数学物理学报(A辑)》1986,(3)
本文对化学反应理论中出现的一类非线性反应扩散方程组进行定性分析。文中证明了发展方程组的非负解的存在唯一性以及平衡方程组的非负解的存在性;分析了非负平衡解的渐近稳定性。讨论表明,在齐次的第三类边值条件下,方程组的平凡解是渐近稳定的;但对于齐次的Neumann边值条件,平凡解不渐近稳定。对于一般情况文中给出了非负平衡解渐近稳定的充分条件。最后证明了在扩散系数b_4(i=1,2,3)足够大时,非负平衡解是渐近稳定的。 相似文献
10.
研究了一类基本而又重要的指数Diophantine方程,利用广义Ramanujan-Nagell方程的性质证明了这类方程有非负整数解的充要条件,并得出这类方程的全部非负整数解. 相似文献
11.
《Applied Mathematics Letters》2000,13(4):7-11
Criteria are developed for the existence of three nonnegative solutions to nonlinear differential equations on time scales. 相似文献
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ZHANGSHENGHAI 《高校应用数学学报(英文版)》1998,13(1):8-14
In this paper,nonnegative solutions for the degenerate elliptic systems are considered.First,nonnegative solutions for scalar equation with spatial discontinuities are studied. Then themethod developed for scalar equation is applied to study elliptic systems. At last,the existence criteria of nonnegative solutions of elliptic systems are given. 相似文献
13.
Jiebao Sun Jingxue YinYifu Wang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(6):2415-2424
This paper is concerned with a doubly degenerate parabolic equation with logistic periodic sources. We are interested in the discussion of the asymptotic behavior of solutions of the initial-boundary value problem. In this paper, we first establish the existence of non-trivial nonnegative periodic solutions by a monotonicity method. Then by using the Moser iterative method, we obtain an a priori upper bound of the nonnegative periodic solutions, by means of which we show the existence of the maximum periodic solution and asymptotic bounds of the nonnegative solutions of the initial-boundary value problem. We also prove that the support of the non-trivial nonnegative periodic solution is independent of time. 相似文献
14.
Ge DONG 《数学年刊B辑(英文版)》2021,42(3):333-356
In this paper, the author studies the existence of the minimal nonnegative solutions of some elliptic variational inequalities in Orlicz-Sobolev spaces on bounded or unbounded domains. She gets some comparison results between different solutions as tools to pass to the limit in the problems and to show the existence of the minimal solutions of the variational inequalities on bounded domains or unbounded domains. In both cases,coercive and noncoercive operators are handled. The sufficient and necessary conditions for the existence of the minimal nonnegative solution of the noncoercive variational inequality on bounded domains are established. 相似文献
15.
We obtain sufficient conditions for the existence of nonnegative solutions of the evolutionary inclusions of subdifferential
type with multivalued non-Lipschitz perturbations and, under the additional condition of dissipativity, prove the existence
of a global attractor in the class of nonnegative functions. 相似文献
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We investigate the existence of unbounded solutions and the period-two convergence of solutions of the equation in the title with the parameter γ positive, the remaining parameters nonnegative, and with nonnegative initial conditions. 相似文献
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In this paper, using a fixed point theorem due to Krasnoselskii and Zabreiko and the Leggett–Williams fixed point theorem respectively, we investigate the existence of one solution and three nonnegative solutions to second-order impulsive equations on time scales. 相似文献
18.
徐龙封 《高校应用数学学报(英文版)》2004,19(3):272-278
In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. 相似文献