欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
本文在方程的一阶导数项的系数有一个简单零点，即方程有转向点的假设下研究了一类具有非单调过渡层性质的奇摄动半线性边值问题。先用合成展开法构造出问题的形式近似，然后利用衔接法将左、右两边分别具有尖层性质和边界层性质的近似式光滑地衔接起来，从而形成具有非单调过渡层性质的近似，并应用微分不等式理论证明了解的存在性及其渐近性质。
英文摘要：
Some singularly perturbed semilinear boundary value problems with nonmonotone transition layer properties are studied under the assumption that the coeflicient of the first derivative term in the equation has a simple zero point, i.e., this equation has a turning point. The formal approximation of the problem is constructed using the method of composite expan-sions, and then we joint smoothly by the joint method approximate expressions of left and right sides which exhibit spike layer behavior and boundary layer behavior, respectively. As a result, an approximation which exhibits nonmonotone transition behavior is formed. Finally, the exis-tence and asymptotic behavior of solutions are proved by theory of differential inequalities.
同期刊论文项目
同项目期刊论文
The traveling wave approximate solution for a class of atmospheric wading wave system by generalized
A class of asymptotic solution of sea-air time delay oscillator for the El Nino-southern oscillation
The periodic solution problem of a relative rotation nonlinear system with nonlinear elastic force a
Solution of a class of rotational relativistic rotation dynamic equation using the generalized varia
Generalized Solution of the Singularly Perturbed Boundary Value Problems for Semilinear Elliptic Equ
The traveling wave approximation method for solving solitary wave in Schr？dinger disturbed coupled s
期刊信息
位置：