一类无界区域中的奇摄动非线性椭圆型系统

本文讨论了在半空间中的非线性椭圆型系统的奇摄动边值问题．在适当的条件下，利用比较定理，对相应边值问题解的存在性和渐近性态作了研究．     

一类非线性椭圆型方程奇摄动问题

A class of singularly perturbed problems for the nonlinear elliptic equations is considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems are studied, which reduced equations possess two intersecting solutions.     

一类具有边界摄动的非线性泛函椭圆型方程奇摄动问题

研究了具有边界摄动的非线性泛函椭圆型方程奇摄动边值问题．在适当的条件下．利用伸长变量、微分不等式理论，讨论了问题解的渐近性态和原问题解的存在唯一性。     

一类高阶椭圆型方程奇摄动边值问题

本文讨论了一类２ｍ阶奇摄动椭圆型方程边值问题的渐近性态，得到了问题解的一致有效的渐近展开式。     

具有特征边界的弱非线性椭圆型方程奇摄动边值问题

本文讨论了具有特征边界的奇摄动非线性椭圆型方程边值问题。利用多重尺度法和比较定理,研究了边值问题解的存在性及渐近性态。     

一类高阶半线性椭圆型方程奇摄动广义边值问题

讨论了半线性椭圆型方程奇摄动广义边值问题.在适当的条件下研究了对应的边值问题广义解的存在唯一性及其渐近性态.     

一类高阶拟线性椭圆型方程奇摄动广义边值问题

讨论了一类拟线性椭圆型方程奇摄动广义边值问题.在适当的条件下,研究了Dirichlet问题广义解的存在、唯一性及其渐近性态.     

一类半线性椭圆型方程奇摄动广义边值问题

讨论了一类非线性椭圆方程奇摄动广义边值问题。在适当的条件下,研究了边值问题广义解的存在、唯一性及其渐近性态。     

一类高阶非线性椭圆型方程奇摄动非局部边值问题

本文利用微分不等式理论研究了一类高阶椭圆型微分方程非局部边值问题的奇摄动.得到了其解一致有效的渐近展开式.     

具有特征边界的一类非线性椭圆型方程的奇摄动

讨论了一类具有特征边界的非线性椭圆型方程的奇摄动。利用多重尺度法和比较原理研究了边值问题的存在性及渐近性态。     

THE SINGULARLY PERTURBED NONLINEARELLIPTIC SYSTEMS IN A HALF SPACE

1Intr0ductionWeconsidertl1efollowiugsingularlyperturbedprobleminalialfspaceEispositiveparameter,x=(x1.x2,'',xn)-Mostudiedaclassofsingularlyperturbedbound-aryvalueproblemsforellipticequationsin[3]-f9l.Thispaperinvolvessingularlyperturbedprobleminahalfspace-Assumethat[R,]thecoefficientsofLaresmo0thfunti0nsinxn20:[HzJfi,giandtlieirderivativesunitlm-thorderareboundedfunctionswithregardtotlieirvariablesincorrespondenceranges;IHsjthereealltsagr0upofpesitiveconstantski,suchthatWenowconstructthef…     

A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR ELLIPTIC EQUATION WITH BOUNDARY PERTURBATION

A class of nonlinear nonlocal singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable, the composing expansion method and the expanding theory of power series, the boundary layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the boundary value problems is studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed.     

一类非线性奇摄动系统的可解性及渐近解

研究了一类非线性微分系统的奇摄动边值问题.利用边界层校正法构造了形式渐近解和用微分不等式理论,证明了解的渐近展开式的一致有效性,得到了相应的定理,从而得到了原问题的可解性条件.     

一类非线性方程组的奇摄动问题

本文在较弱的假设下．用校正边界层的方法得到了一类非线性奇摄动方程组的一致有效渐近展开式．并得到了其渐近性态．     

一类具有非局部边界条件的半线性椭圆型方程奇摄动问题

本文研究了一类具有非局部边界条件的奇摄动半线性椭圆型方程边值问题。在适当的条件下，利用比较定理讨论了问题解的渐近性态。     

NONLOCAL PROBLEM FOR SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS

In this paper, the problems of the nonlocal initial conditions for the singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solutions for the initial boundary value problems are studied.     

A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

A class of nonlinear singularly perturbed problems for reaction diffusion equa-tions are considered. Under suitable conditions, by using the theory of differential inequal-ities, the asymptotic behavior of solutions for the initial boundary value problems arestudied, reduced problems of which possess two intersecting solutions.     

A CLASS OF STRONGLY NONLINEAR SINGULARLY PERTURBED INTERIOR LAYER PROBLEMS

In this paper, a class of strongly nonlinear singularly perturbed interior layer problems are considered by the theory of differential inequalities and the corrective theory of interior layer. The existence of solution is proved and the asymptotic behavior of solution for the boundary value problems are studied. And the satisfying result is obtained.