ON A FREE BOUNDARY PROBLEM

本文利用[4]—[6] 中关于拟线性双曲型方程组自由边界问题的一般性结论，在一般的(非等熵） 平面定常流动的情形，对D. G. Scliaeffer关于超音速气流对尖缘平面翼型的绕流问题利用Nash-Moser隐函数存在定理所得到的结果，给出了一个简单而直接的证明， 在证明中不需要有关Holder连续性的附加假设.     

广义Lienard方程边值问题

By coincidence degree,the existence of solution to the boundary value problem of a generalized Liénard equation a(t)x＂+F(x,x′)x′+g(x)=e(t),x(0)=x(2π),x′(0)=x′(2π)is proved,where a∈C1[0,2π],a(t)>0(0≤t≤2π),a(0)=a(2π),F(x,y)=f(x)+α| y|β,α>0,β>0 are all constants,f∈C(R,R),e∈C[0,2π]. An example is given as an application.     

A SINGULAR SINGULARLY-PERTURBED BOUNDARY VALUE PROBLEM

ＡＳＩＮＧＵＬＡＲＳＩＮＧＵＬＡＲＬＹ－ＰＥＲＴＵＲＢＥＤＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭ￥ＬｉｎＷｕｚｈｏｎｇ（林武忠）；ＷａｎｇＺｈｉｍｉｎｇ（汪志鸣）（ＥａｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，上海华东师范大学，邮编：２０００...     

ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR

In this work, we investigate the solvability of the boundary value problem for the Poisson equation, involving a generalized Riemann-Liouville and the Caputo derivative of fractional order in the class of smooth functions. The considered problems are generalization of the known Dirichlet and Neumann problems with operators of a fractional order.     

ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER

This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense. The considered problem is a generalization of the known Dirichlet and Neumann problems.     

A NOTE ON A NONLINEAR BOUNDARYVALUE PROBLEM

Asiswellknown,nonlineartwo-pointboundaryvalueproblemisaclassicalbasicproblem.Theresultsofthisproblemareusuallyratherperfect.But,somenewproofsandimprovementsoftheseresultswillbeverymeaningfulandprofittherelatedproblem.Considerthefollowingboundaryvalueproblemwhereh(t,xl,x2)andf(t,xl,x2)arecontinuous,f(t,xl)x2)isboundedfortE[0,r],--co相似文献   

与偏微分方程边界观测有关的一类函数空间

设(?)为 R~(?)中具有充分光滑边界г的有界开区域,(?)位于г的一侧.设 T 为给定正数,记(?)=(?)×(0,T),∑=Γ×(0,T).v(x)表示 x∈Γ处的外法向单位矢量.(?)x~0∈R~n\Γ,定义     

三维椭圆型偏微分方程边值问题的边界积分-微分方程及其边界元解法

§1.引言 边界元方法以其独特的品质逐渐应用于工程技术各个领域,其理论和方法的研究也有进展。但在应用的计算方法中,尤其是对于Neumann型边值问题,存在两种缺陷,或是失去原问题的自伴性;或是保持自伴性但出现不可积强奇性积分核。上述两种情形均导致数值计算上的复杂性。为了解决上述问题,[1]对于二维平面问题提出了一类基于     

具有旋度边界条件的抛物方程组

证明一个线性抛物方程组的整体古典解的存在唯一性，困难在于边界条件中含有未知向量函数的旋度．     

NONLINEAR BOUNDARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

By means of the supersolution and subsolution method and monotone iteration technique, the following nonlinear elliptic boundary problem with the nonlocal boundary conditions is considerd. The sufficient conditions which ensure at least one solution are given. Furthermore, the estimate of the first nonzero eigenvalue for the following linear eigenproblem is obtained, that is λ_1≥2α/(nd~2).     

高阶复合方程的连值问题

本文研究高阶复合方程基于能量不等式和生成算子的稠密性，证明了广义解的存在，唯一性。     

A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD

A new Koppelman-Leray-Norguet formula of (p-1,q) differential forms for a strictly pseudoconvex polyhedron with not necessarily smooth boundary on a Stein manifold is obtained, and an integral representation for the solution of (?)-equation on this domain which does not involve integrals on boundary is given, so one can avoid complex estimates of boundary integrals.