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| 1 | Asymptotic behavior of the shock solution for a class of nonlinear equations显示文摘The high precision approximation of the shock solution for a class of nonlinear problems is obtained using a simple method. | MOJiaqi ZHUJiang WANGHui | 2003 | Progress in Natural Science:Materials International2003,13,10: | 141 |
| 2 | Shock solution for quasilinear singularly perturbed Robin problem显示文摘The shock solution for the quasilinear singularly perturbed Robin problem is considered. Under suitable conditions and using the theory of differential inequalities the existence and asymptotic behavior of the shock solution for the original boundary value problems are studied. | MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China 2. National Natural Science Foundation of China, Beijing 100085, China) | 2002 | Progress in Natural Science:Materials International2002,12,12: | 70 |
| 3 | A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation显示文摘A class of nonlinear singularly perturbed problems for reaction diffusion equations with boundaryperturbation are considered.Under suitable conditions,the asymptotic behavior of solution for the initialboundary value problems is studied using the theory of differential inequalities. | Jia-qi Mo Wan-tao Lin | 2006 | Acta Mathematicae Applicatae Sinica2006,22,1: | 33 |
| 4 | 高阶半线性椭圆型方程奇摄动广义Dirichlet边值问题(英文)显示文摘本文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Dirichlet边值问题广义解的存在唯一性及其渐近性态。 | 莫嘉琪 | 2006 | 数学进展2006,35,1: | 26 |
| 5 | 二阶半线性常微分方程Robin边值问题的奇摄动显示文摘用基本方法讨论了一个半线性奇摄动Robin边值问题.利用微分不等式理论,证明了问题解的存在性,并得到了解的渐近估计.作为应用,给出了两个例子,一个是将结果应用于一个燃烧反应扩散问题的模型,另一个是得到了有关Dirichlet问题的相应结果. | 欧阳成 | 2005 | 数学物理学报(A辑)2005,25,2: | 20 |
| 6 | 一类非线性方程组的奇摄动问题显示文摘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 。 | 唐荣荣 | 2004 | 数学杂志2004,24,3: | 15 |
| 7 | 奇摄动非线性边值问题(英文)显示文摘本文讨论了一类奇摄动非线性边值问题 .利用伸长变量和边界层校正法 ,得到了问题解的形式渐近展开式 .再用微分不等式理论 。 | 莫嘉琪 | 2004 | 应用数学2004,17,1: | 13 |
| 8 | The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems显示文摘In this paper the singularly perturbed initial boundary value problems for the nonlocal reactiondiffusion system are considered.Using the iteration method and the comparison theorem,the existence and itsasymptotic behavior of the solution for the problem are studied. | Jia-qi Mo Wan-tao Lin | 2006 | Acta Mathematicae Applicatae Sinica2006,22,2: | 13 |
| 9 | 一类奇摄动非线性方程的激波解显示文摘利用匹配条件讨论一类奇摄动非线性方程激波解.得出了对应的激波解与边界条件的关系. | 莫嘉琪 林万涛 | 2006 | 系统科学与数学2006,26,6: | 11 |
| 10 | 非线性分数阶微分方程的奇摄动显示文摘研究了—类奇摄动非线性分数阶微分方程Cauchy问题.在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量、合成展开法和幂级数展开理论构造出解的初始层项,并由此得到解的形式渐近展开式.最后利用微分不等式理论,讨论了问题解的渐近性态,得到了原问题解的一致有效的渐近估计式. | 莫嘉琪 | 2006 | 应用数学学报2006,29,6: | 10 |
| 11 | A CLASS OF NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS显示文摘A class of nonlinear singularly perturbed problems for reaction diffusion equations are considered.Under suitable conditions,by using the theory of differential inequalities,the asymptotic behavior of solutions for the initial boundary value problems are studied,reduced problems of which possess two intersecting solutions. | 莫嘉琪 | 2003 | Acta Mathematica Scientia2003,23,3: | 10 |
| 12 | 非线性方程激波位置的转移显示文摘本文是讨论一类非线性方程的激波位置.得出了在一定的情况下,当边界条件作微小的变化时,激波的位置将作较大的偏移,甚至由内层转到边界层. | 莫嘉琪 林万涛 | 2005 | 系统科学与数学2005,25,3: | 8 |
| 13 | THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS显示文摘A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations 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 initial layer is constructed, finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation is discussed. | 莫嘉琪 朱江 | 2003 | Applied Mathematics and Mechanics(English Edition)2003,24,5: | 8 |
| 14 | 一类非线性非局部反应扩散方程奇摄动问题(英文)显示文摘本文研究了一类具有非线性非局部反应扩散方程奇摄动问题.在适当的条件下,利用微分不等式理论,讨论了问题解的渐近性态. | 莫嘉琪 王 辉 | 2002 | 生物数学学报2002,17,2: | 7 |
| 15 | 边值对非线性方程激波解的影响显示文摘探讨了一类非线性方程奇摄动问题εy″+yy′-xny=0 ,x∈ (0 ,1 ) ,n≠- 1 ,y(0 ) =α ,y(1 ) =β的边界条件与激波解的关系 。 | 韩祥临 欧阳成 | 2004 | 数学杂志2004,24,1: | 6 |
| 16 | 一类间断非线性微分方程的泛函边值问题(英文)显示文摘研究了一类间断非线性常微分方程泛函边值问题 . | 莫嘉琪 唐荣荣 | 2002 | 应用数学2002,15,1: | 6 |
| 17 | 非线性非局部反应扩散方程奇摄动问题显示文摘 研究了一类具有非线性非局部反应扩散方程奇摄动Robin初始边值问题· 在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量、合成展开法和幂级数展开理论构造出解的初始层项,并由此得到解的形式渐近展开式· 最后利用微分不等式理论,讨论了问题解的渐近性态并导出了几个有关的不等式。 | 莫嘉琪 朱江 | 2003 | 应用数学和力学2003,24,5: | 6 |
| 18 | 在局部区域上的奇摄动反应扩散方程初始边值问题显示文摘本文是讨论一类在局部区域上的奇摄动反应扩散初始边值问题.利用算子理论和 不动点原理,得到了相应问题解的存在性和唯一性. | 莫嘉琪 | 2005 | 系统科学与数学2005,25,1: | 6 |
| 19 | 一类非线性奇摄动捕食-被捕食反应扩散系统显示文摘研究了一类具有非线性捕食—被捕食反应扩散系统奇摄动问题.在适当的条件下,利用微分不等式理论讨论了问题解的渐近性态. | 莫嘉琪 唐荣荣 | 2006 | 兰州大学学报(自然科学版)2006,42,1: | 6 |
| 20 | 一类非线性方程奇摄动问题的激波解显示文摘利用匹配条件,讨论了一类非线性奇摄动问题的激波解,得出了激波解与边界条件的对应关系。 | 韩祥临 | 2003 | 应用数学学报2003,26,2: | 6 |