| 1. | The differential inequality theory and diagonalization method , as two effective tools in solving singular perturbation problems , have developed rapidly in the recent several decades
微分不等式与对角化方法作为两种解决奇异摄动问题的有效手段，近几十年来，得到快速发展。 |
| 2. | The initial boundary value problems for the reaction diffusion equations are considered . and the asymptotic behavior of solution for the problem is obtained by using the theory of differential inequality
摘要研究了一类反应扩散方程初始边值问题。利用微分不等式理论得到了问题解的渐近性态。 |
| 3. | 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。 |
| 4. | Under suitable conditions , using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems are studied , which reduced problems possess two intersecting solutions
在适当的条件下，利用微分不等式理论，讨论了退化解具有两个交叉解的初值问题解的渐近性态。 |
| 5. | 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。 |
| 6. | On the basis of the formal asymptotic solutions having been constructed for the singularly perturbed problems , the formal asymptotic solutions for the original problems are proved by using the differential inequalities and the fixed point theorems
在已构造出奇摄动问题形式渐近解的基础上,运用微分不等式和不动点原理证明原问题的形式渐近解的一致有效性。 |
| 7. | What is worth pointing out is that by applying the fixed point theorem , a class of boundary value problems for singularly perturbed ordinary differential equations which are very difficulty to deal with by using the method of differential equalities are studied
值得指出的是，本文用不动点原理研究了一类用微分不等式方法难以处理的奇摄动常微分方程的边值问题。 |
| 8. | This paper discusses the positive periodic solution and the almost periodic solution to dimensional predator - prey model with prey supplements by using the differential inequality , and its stability under disturbances in the shell
摘要对于食饵有补充具有功能反应类的非定常的捕食食饵模型，利用微分不等式讨论了周期解的存在性及其全局吸引性、概周期解的存在性及其在壳扰动下的稳定性。 |
| 9. | By using differential inequality , comparable theory and the lyapunov functional we obtain some sufficient conditions that guarantee the permanence of the species and some sufficient conditions that guarantee every positive solution global attractivity . and if the system is a
本文利用微分不等式，比较原理和lyepuno ~ ’ razumkin技巧，分别获得如上两个模型持续生存和一致持久的充分条件，以及模型任意正解全局渐近稳定的充分条件 |
| 10. | The paper studies the existence and global exponential convergence of alomost periodic solutions for high - order neural networks involving variable delay by applying the theory of fixed point and differential inequality technique , some new criteria on the existence and global exponential convergence of almost periodic solutions are obtained
摘要利用不动点理论和微分不等式分析等技巧，研究了变时滞高阶神经网络概周期解存在性与全局指数收敛性，并且给出了一些新的判别准则。 |
