共查询到20条相似文献,搜索用时 0 毫秒
1.
Degenerate Nonlinear Boundary Value Problems for Fully Nonlinear Elliptic Equations of Second Order 下载免费PDF全文
Lee Jiunjie 《偏微分方程(英文版)》1991,4(4)
In this paper, we will consider the degenerate nonlinear boundary value problems for nonlinear elliptic equations. We extend Lieberman & Trudinger's results from nondegenerate oblique derivative boundary values to degenerate boundary values. 相似文献
2.
3.
Tadeusz Jankowski 《Applicable analysis》2013,92(2):341-356
In this paper, the method of quasilinearization has been extended to antiperiodic boundary value problems of nonlinear functional differential equations. It is shown that iterations converge to the unique solution and this convergence is semi-superlinear. 相似文献
4.
5.
6.
7.
Patricia J.Y. Wong 《Journal of Difference Equations and Applications》2013,19(9):765-797
We offer criteria for the existence of single, double and multiple positive symmetric solutions for the boundary value problem ?2m y(k-m)= f(y(k), ?²y(k-1)….,?SUP>2i y(k-i),…,?2(m-1) y(k-(m-1))), k∈{a+1,…,b+1} ?2i y(a+1-m)=?2i y(b+1+m-2i)=0, 0≤i≤m-1 where m ≥ 1 and (-1)m f can either be positive or the condition can be relaxed. 相似文献
8.
Debra L. Etheridge Jesu´s Rodriguez 《Journal of Difference Equations and Applications》2013,19(5):447-466
In this paper, we study nonlinear discrete boundary value problems of the form x ( t +1)= A ( t ) x ( t )+ h ( t )+ k f ( t , x ( t ), k ) subject to Bx (0)+ Dx ( J )= u + k g ( x (0), x ( J ), k ) where k is a "small" parameter. Our main concern is the case of resonance, that is, the situation where the associated linear homogeneous boundary value problem x ( t +1)= A ( t ) x ( t ), Bx (0)+ Dx ( J )=0 admits nontrivial solutions. We establish conditions for the solvability of the nonlinear boundary value problem when k is "small". We also establish qualitative properties of these solutions. 相似文献
9.
HE Yue School of Mathematics Computing Science Zhongshan University Guangzhou China School of Mathematics Computing Science Nanjing Normal University Nanjing China. 《数学年刊A辑(中文版)》2007,(5)
研究一类特殊退化椭圆型方程边值问题的适定性,该类问题与双曲空间中的极小图的Dirichlet问题,曲面的无穷小等距形变刚性问题等等的研究密切相关,而这类方程的特征形式在区域上是变号的,其适定性是值得深入讨论的.最后,得到这类边值问题的H~1弱解的存在性和唯一性. 相似文献
10.
The well-posedness of the initial-boundary value problems for quasi-electrostatic equations in a bounded domain with Lipschitz boundary is proved. The quasi-electrostatic equation is the coupled system of the equations of motion and the equation of the quasistatic electric field. The mass density, the elastic, piezoelectric and dielectric tensors are bounded measurable functions in the domain, and these tensors satisfy the positivity and the symmetry. The initial conditions are given only for the mechanical displacement and its time derivative. The methods of proof are Galerkin's method, duality argument and energy inequality. 相似文献
11.
Qin Tiehu 《数学年刊B辑(英文版)》1985,6(3):289-298
This paper discusses the following initial-boundary value problems for the first orderquasilinear hyperbolic systems:(u)/(t)+A(u)(u)/(x)=0,(1)u~Ⅱ=F(u~Ⅰ),as x=0,(2)u~Ⅰ=G(u~Ⅱ),as x=L,(3)u=u~0(x),as t=0,(4)where the boundary conditions(2),(3)satisfy F(0)=0,G(0)=0 and the dissipativeconditions,that is,the spectral radii of matrices B_1=(F)/(u~Ⅰ)(0)(G)/(u~Ⅱ)(0)and B_2(G)/(u~Ⅱ)(0)(F)/(u~Ⅰ)(0) are less than unit.Under certain assumptions it is proved that the initial-boundary problem (1)—(4)admits a unique global smooth solution u(x,t)and the C~1-norm丨u(t)丨σ~2of u(x,t)decaysexponentially to zero as t→∞,provided that the C~1-norm丨u~0丨σ~1of the initial data issufficiently small. 相似文献
12.
Zhang Pingwen 《东北数学》1994,(2)
OnVortexMethodsforInitialBoundaryValueProblems¥ZhangPingwen(张平文)(DepartmentofMathematics,PekingUniversity,Beiing,100871)Abstr... 相似文献
13.
In this paper, we present a new technique to study nonlinear stochastic differential equations with periodic boundary value condition (in the sense of expectation). Our main idea is to decompose the stochastic process into a deterministic term and a new stochastic term with zero mean value. Then by using the contraction mapping principle and Leray-Schauder fixed point theorem, we obtain the existence theorem. Finally, we explain our main results by an elementary example. 相似文献
14.
In this paper,we present a new technique to study nonlinear stochastic differential equations with periodic boundary value condition (in the sense of expectation).Our main idea is to decompose the stochastic process into a deterministic term and a new stochastic term with zero mean value.Then by using the contraction mapping principle and Leray-Schauder fixed point theorem,we obtain the existence theorem.Finally,we explain our main results by an elementary example. 相似文献
15.
该文利用上下解结合单调迭代方法研究了一阶时滞差分方程周期边值问题解的存在性,假设问题的上下解存在,得到两组保证边值问题的极大极小解存在的充分条件. 相似文献
16.
Liu Wenbin 《东北数学》1995,(4)
BoundaryValueProblemsforSecond-OrderSingularDifferentialEquationsonInfiniteIntervalsLiuWenbin(刘文斌)(DepartmentofMatheematicsan... 相似文献
17.
二阶退化双曲型方程的Darboux型问题 总被引:1,自引:0,他引:1
本文讨论二阶退化双曲型方程的一些边值问题.文中先给出第一Darboux问题和一般斜微商边值问题的提法和解的表示式,然后使用复分析方法证明了上述问题解的存在唯一性. 相似文献
18.
In this article, we employ monotone iterative technique to study the existence of solutions for second order periodic boundary value problem and periodic solutions of delay difference equations. 相似文献
19.
This paper presents a theory of differential inequalities for two-point boundary value problems (B.V.Ps) associated with the system of n th order non-linear differential equations. Using these inequalities as a tool we establish the existence and uniqueness of solutions to three-point B.V.Ps associated with the system of n th order non-linear differential equations by using the idea of matching solutions. 相似文献
20.
林苏榕 《数学物理学报(A辑)》2007,27(6):1133-1140
该文研究向量二阶非线性积分微分方程边值问题的奇摄动, 在适当的条件下利用对角化方法证明了解的存在性, 构造出解的渐近展式并给出余项的一致有效的估计. 相似文献