| 1. | Uniqueness of positive solutions of a class of quasilinear ordinary differential equations
一类拟线性常微分方程正解的唯一性 |
| 2. | Stability of bounded variation solutions to homogeneous linear ordinary differential equations
齐次线性常微分方程有界变差解的稳定性 |
| 3. | Application of lagrange interpolation to a class of the nonhomogeneous linear differential equations with constant coefficints
插值法在一类非齐线性常微分方程中的应用 |
| 4. | Convergence of second non - homogeneous order ordinary linear differential equation boundary problem numerical solution
二阶非齐次线性常微分方程边值问题数值解的收敛性 |
| 5. | Singular perturbation of boundary value problem for quasilinear third order ordinary differential equations involving two small parameters
含两参数的三阶拟线性常微分方程边值问题的奇摄动 |
| 6. | On the numerical solution of the cauchy problem for ordinary linear homogeneous differential equations on large intervals of integration
齐次线性常微分方程组柯西问题在大积分区间上的数值解 |
| 7. | Abstract : the vibrating equations on automobile as a whole , which are no - linear ordinary differential , are obtained in the inertial principal axis system
文摘:在惯性主轴坐标系下建立了汽车整车的振动方程，它是非线性常微分方程。 |
| 8. | The present paper is establish the existence theorem of a class of singular boundary value problems for quasilinear ordinary differential equation with the fixed point theorem as the principal tool , and develops semilinear corresponding results
摘要本文使用不动点定理建立了一类奇异拟线性常微分方程边值问题正解的存在性定理，发展了半线性所得相应结果。 |
| 9. | The aim of this thesis is to analyze the super - convergence and stability of continuous finite element methods which is a type of numerical me - thods solving the 1 - degree lineal initial value problem of ordinary differential equation , and compare the stability of the three 4 - order pre - cision numerical methods of the 1 - degree initial value problem of ordinary differential equation - classical runge - kutta method ( single step method ) , adams hidden method ( multiple step method ) , and continuous finite element method
本文针对一阶线性常微分方程初值问题的连续有限元法的超收敛性和稳定性作了分析，并对一阶线性常微分方程初值问题的具有4阶精度的三类数值方法? ?经典runge - kutta法(单步法) ， adams隐式格式(多步法) ，连续有限元法的稳定性作了比较。 |
| 10. | In this dissertation , the numerical solution of singularly perturbed problems for a class of semilinear ordinary equations involving two parameters , a class of elliptic equations with turning points , a semilinear parabolic equation , and a two level semilinear parabolic equation as well as a hyperbolic - parabolic partial differential equation are mainly considered . the bounds on the derivatives of these exact solutions are given . then different difference schemes are constructed for different problems
本论文主要讨论了一类含双参数半线性常微分方程、一类具有转向点的椭圆型方程、半线性抛物型方程、二维半线性抛物型方程和双曲-抛物型偏方程奇摄动问题的数值解,首先给出这些方程解的导数估计,然后对不同问题构造了不同的差分格式,最后我们证明了该差分格式关于小参数一致收敛 |
