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- A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. The uniform valid of the constructed asymptotic expansion is proved. 摘要研究了一類(lèi)具有邊界攝動(dòng)的非線(xiàn)性奇攝動(dòng)橢圓型問(wèn)題。并證明了邊值問(wèn)題解的漸近展開(kāi)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，給出了一類(lèi)二階擬線(xiàn)性方程廣義有限元解的漸近展式和超收斂結果。
- The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion. 運用分歧理論、固有值的解析攝動(dòng)理論和漸近展開(kāi)的方法，獲得了共存時(shí)間周期解的存在性和穩定性。
- 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. 運用分歧理論、隱函數定理以及漸近展開(kāi)的方法，獲得了共存周期解的存在性與穩定性的結果。
- 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. 摘要利用匹配條件，討論了一類(lèi)三階非線(xiàn)性奇攝動(dòng)問(wèn)題，得出了奇攝動(dòng)邊值問(wèn)題的漸近展開(kāi)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. 討論具有功能反應的一類(lèi)捕食者-食餌系統的反應擴散方程組.;運用分歧理論、固有值的解析攝動(dòng)理論和漸近展開(kāi)的方法;獲得了共存時(shí)間周期解的存在性和穩定性
- 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. 通過(guò)引進(jìn)適當的伸長(cháng)變量，構造邊界層函數，得到了解的N階近似值，并利用微分不等式理論證明了解的漸近展開(kāi)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. 在晶體液固界面上考慮動(dòng)力過(guò)冷,對凝固系統控制方程的擾動(dòng)解進(jìn)行漸近展開(kāi),分別求其零級、一級近似解。
- 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. 在適當的條件下，利用微分不等式理論證明?解的存在性，得到?解的任意階近似的一致有效漸近展開(kāi)式。
- 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. 采用了奇異攝動(dòng)的方法，構造了關(guān)于小參數的冪級數展開(kāi)，作為模型的形式漸近解，并用逐次逼近法證明了該解的一致有效性，從而可以將構造的解作為模型的近似解。
- Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. 漸近擴大的架構的知識在圖解水準理解怎樣執行在操作者步的擴大的鑰匙。
- Finally, using the theory of differential inequality, the uniformly valid asymptotic expansions of solution for the original problem are obtained. 最后，利用微分不等式理論，得到了原問(wèn)題解的一致有效的漸近展開(kāi)式。
- The results of super convergence and asymptotic expansions of the solution of second-order quasilinear parabolic equations using GFEM are calculated. 2.;給出了一類(lèi)二階擬線(xiàn)性?huà)佄锓匠虖V義有限元解的漸近展式和超收斂結果。
- The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. 書(shū)提出范曼積分在沖力和群眾，和他們應用在物質(zhì)興趣的問(wèn)題的各種各樣限制內的漸近擴大。
- 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，構造了該邊值問(wèn)題解的一致有效漸近展開(kāi)式。
- Under appropriate conditions, the asymptotic expansions of the solutions for the problems are obtained, and the higher precision is achieved for some problems. 在適當的條件下較簡(jiǎn)捷地得到了問(wèn)題解的估計式，并對一些典型的問(wèn)題，解的估計式達到了較高的精度。
- Metals undergo expansion when heated. 金屬加熱時(shí)會(huì )膨脹。
- 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. 摘要利用匹配漸近展開(kāi)法，討論了一類(lèi)非線(xiàn)性奇攝動(dòng)問(wèn)題的解，得出了奇攝動(dòng)邊值問(wèn)題的零次漸近展開(kāi)式。
- The suburbs are an expansion of cities. 郊區是城市的延伸。
- Deby who took power in a coup in 1990. 代比在1990年的一次政變中，奪得政權。
