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- This kind of model could be written in ODE systems with small parameter.With singular perturbed method,the asymptotic expansion solution which is valid for the model was constructed. 采用了奇异摄动的方法，构造了关于小参数的幂级数展开，作为模型的形式渐近解，并用逐次逼近法证明了该解的一致有效性，从而可以将构造的解作为模型的近似解。
- asymptotic expansion solution 渐近级数展开法
- The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion. 运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
- Using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain. 摘要利用匹配条件，讨论了一类三阶非线性奇摄动问题，得出了奇摄动边值问题的渐近展开式。
- To discuss a type of reaction diffusion system with functional reaction and periodic coefficients.The existence and stability of periodic solution are studied by using the bifurcation theory,linear stability theory and the method of asymptotic expansion. 讨论具有功能反应的一类捕食者-食饵系统的反应扩散方程组.;运用分歧理论、固有值的解析摄动理论和渐近展开的方法;获得了共存时间周期解的存在性和稳定性
- By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved. 通过引进适当的伸长变量，构造边界层函数，得到了解的N阶近似值，并利用微分不等式理论证明了解的渐近展开式的一致有效性。
- This paper considers kinetic undercooling of the crystal growth on the liquid-solid interface,and makes the asymptotic expansion for the perturbed solution of the governing equations. 在晶体液固界面上考虑动力过冷,对凝固系统控制方程的扰动解进行渐近展开,分别求其零级、一级近似解。
- Under appropriate assumptions, the existence of solution is proved by means of the theory of differential inequalities and the uniformly valid asymptotic expansion for arbitrary nthorder is obtained. 在适当的条件下，利用微分不等式理论证明?解的存在性，得到?解的任意阶近似的一致有效渐近展开式。
- A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. The uniform valid of the constructed asymptotic expansion is proved. 摘要研究了一类具有边界摄动的非线性奇摄动椭圆型问题。并证明了边值问题解的渐近展开的一致有效性。
- In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented. 第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
- The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion. 运用分歧理论、隐函数定理以及渐近展开的方法，获得了共存周期解的存在性与稳定性的结果。
- Finally, using the theory of differential inequality, the uniformly valid asymptotic expansions of solution for the original problem are obtained. 最后，利用微分不等式理论，得到了原问题解的一致有效的渐近展开式。
- The results of super convergence and asymptotic expansions of the solution of second-order quasilinear parabolic equations using GFEM are calculated. 2.;给出了一类二阶拟线性抛物方程广义有限元解的渐近展式和超收敛结果。
- KBM asymptotic series expansion solution to nonlinear autonomous circuit 非线性自治电路的KBM渐近级数展开法
- Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. 渐近扩大的架构的知识在图解水准理解怎样执行在操作者步的扩大的钥匙。
- The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. 书提出范曼积分在冲力和群众，和他们应用在物质兴趣的问题的各种各样限制内的渐近扩大。
- By using the so called renormalization group method, we give a uniformly valid asymptotic expansions of the boundary value problems under consideration. 利用重正化群方法，构造了该边值问题解的一致有效渐近展开式。
- Under appropriate conditions, the asymptotic expansions of the solutions for the problems are obtained, and the higher precision is achieved for some problems. 在适当的条件下较简捷地得到了问题解的估计式，并对一些典型的问题，解的估计式达到了较高的精度。
- Using the matching asymptotic expanding method, the Solutions for a class of nonliear singularly perturbed problems are discussed. Zero order asymptotic expansions of solution for boundary value problem are obtain. 摘要利用匹配渐近展开法，讨论了一类非线性奇摄动问题的解，得出了奇摄动边值问题的零次渐近展开式。
- It may take a long time to find a solution to the problem. 也许要花很长时间才能找到解决这个问题的办法。
