共查询到20条相似文献,搜索用时 31 毫秒
1.
SOLUTION FOR TWO-POINT BOUNDARY VALUE PROBLEM OF THE SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATION 下载免费PDF全文
In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation
by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region. 相似文献
2.
一类半线性抛物型方程全离散Chebyshev拟谱逼近的大时间性态 总被引:1,自引:0,他引:1
In the paper, the nonperidic initial value problem for a class of semilinear parabolic equations is considered. We construct the full discrete Chebyshev pseudospectral scheme and analyze the error of approximate solution for it. We obtain the error estimation on large time using the local continuation method and the existence of approximate global attractor. 相似文献
3.
RN上的临界非齐次多重调和方程的多解存在性 总被引:1,自引:0,他引:1
讨论了 RN上带非负扰动的临界非齐次多重调和方程的多解存在性 .首先由泛函弱连续性方法获得方程的第一个解 ,再由山路引理获得方程的第二个解 .本文的这种求解方法和这些结果不仅适用于 RN 上的二阶椭圆方程 ,而且也适用于尚未解决的 RN 上的双调和方程 相似文献
4.
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
5.
Lihua Chen Dept.of Math. Computer Science Fuqing Branch of Fujian Normal University Fuqing Fujian Jiaqi Mo Dept.of Math. Anhui Normal University Wuhu Anhui Faculty of Science Huzhou Teacher College Huzhou Zhejiang 《Annals of Differential Equations》2011,(4):434-439
An initial boundary value problem of semilinear nonlocal reaction diffusion equations is considered.Under some suitable conditions,using the asymptotic theory,the existence and asymptotic behavior of the interior layer solution to the initial boundary value problem are studied. 相似文献
6.
A parabolic equation defined on a bounded domain with boundary condition being nonlocal is considered. The existence and the dynamic behavior of the solutions for linear and semilinear equations are investigated in special spaces. One will find that the behavior of the solutions are affected by the boundary conditions. A semigroup approach is employed in this paper. 相似文献
7.
由氢化物镍(MH/Ni)电池的氢化物电极单相充放电过程所产生的数学模型,是由线性抛物型方程的第三初边值问题与半线性发展常微分方程的两点边值问题耦合而成的一个全新的非线性初边值问题,本文应用Leray-Schauder不动点定理证明了其古典解的存在性。 相似文献
8.
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
9.
本文考虑了如下Hilbert空间中半线性随机发展方程(1)的Cauchy问题,在两组不同的条件下,分别得到了该问题的适度解的整体存在唯一性。 相似文献
10.
黄飞敏 《数学物理学报(B辑英文版)》2009,29(2):409-414
In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded domain. 相似文献
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《随机分析与应用》2013,31(6):1257-1280
In this paper, we study stochastic semilinear functional differential equations in a Hilbert space. First, we prove the existence and uniqueness of a mild solution under two sets of hypotheses. We then consider the exponential stability of the second moment of the solution process of such equations as well as the exponential stability and asymptotic stability in probability of its sample paths. We further consider global stability in the mean. Such results are obtained using both local Lipschitz and non-Lipschitz nonlinearities. Our method is an interplay of the method of successive approximations and a comparison principle. Two applications are included to motivate this study. 相似文献
13.
On the Cauchy Problem for a Class of Semilinear Hyperbolic Equations with Discontinuous Coefficients and Data 下载免费PDF全文
Yongqian Zhang 《偏微分方程(英文版)》1996,9(3):209-220
ln this paper we establish the existence of local solution to the Cauchy problem for a class of semilinear second order hyperbolic equations including degenerated type equations with discontinuous coefficients and data. 相似文献
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In this paper, we study the global existence of mild solutions for the semilinear initial-value problems of second order evolution equations, which can model an elastic system with structural damping. This discussion is based on the operator semigroups theory and the Leray-Schauder fixed point theorem.In addition, an example is presented to illustrate our theoretical result. 相似文献
17.
采用域扩线技巧与广义Mountain-Pass引理相结合的方法,给出了全空间上方程-Δu mu=u^p-1u的正确的存在性和光滑性。 相似文献
18.
Banach空间半线性发展方程的周期解 总被引:8,自引:2,他引:8
把上、下解方法引入到有序Banach空间中的半线性发展方程周期解问题,利用正算子半群特征与单调迭代程序,获得了最大周期解与最小周期解的存在性.所得的结果概括和推广了常微分方程与偏微分方程中的有关结论 相似文献
19.
In this paper we consider the existence of positive solution for some semilinear elliptic equations with Neumann boundary condition involving a critical Hardy–Sobolev exponent and Hardy terms with boundary singularities. Using mountain pass lemma without (PS) condition and the strong maximum principle, we get the existence of a positive solution. 相似文献
20.
Tomás Caraballo Peter E. Kloeden Björn Schmalfuß 《Applied Mathematics and Optimization》2004,50(3):183-207
We consider the exponential stability of stochastic evolution
equations with Lipschitz continuous non-linearities when zero is
not a solution for these equations. We prove the existence of a
non-trivial stationary solution which is exponentially stable,
where the stationary solution is generated by the composition of a
random variable and the Wiener shift. We also construct stationary
solutions with the stronger property of attracting bounded sets
uniformly. The existence of these stationary solutions follows
from the theory of random dynamical systems and their attractors.
In addition, we prove some perturbation results and formulate
conditions for the existence of stationary solutions for
semilinear stochastic partial differential equations with
Lipschitz continuous non-linearities. 相似文献