高阶拟线性椭圆型方程奇摄动问题

本文利用微分不等式和多重尺度，研究了一个高阶椭圆型偏微分方程摄动边值问题，并得到了一致有效的渐近展开式。     

一类高阶半线性椭圆型方程奇摄动广义边值问题

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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。     

THE SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEMS

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一类高阶椭圆型方程奇摄动边值问题

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A class of singularly perturbed nonlocal problems for nonlinear elliptic equation of fourth order are considered. The uniformly valid asymptotic expansion of the solutionis obtained.     

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THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION

The nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation are considered. Under suitable conditions, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems is studied.