探讨了微分方程组奇异边值问题数值分析方法。
Numerical methods of the singular boundary value problem for ODE system is studied in this paper.
利用算子方程的一些抽象结果来讨论四阶奇异边值问题。
By some abstract results of operator equation, the fourth order singular boundary value problem was discussed.
本文主要研究半直线上非线性方程组奇异边值问题解的存在性。
In this paper, singular boundary value problems of non-linear equation system on a half-line will be considered.
证明了一类含脉冲次线性奇异边值问题解存在的充要性条件，推广了以前的相应结果。
In this paper, we prove a sufficent and necessary condition of existence for the solution of a kind of sublinear singular bound ary value problem.
利用锥映射的不动点指数定理，研究了一类非线性奇异边值问题多个正解的存在性问题。
This paper discusses the existence of multiple positive solutions of a class of nonlinear singular boundary value problems by means of the fixed point index Theorem on cones.
利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。
According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
In this paper, a singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
讨论了一类二阶奇异两点边值问题的一种求解方法。
In this paper, we present a method for solving a class of singular second order two-point boundary value problems.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
采用具有小支集的奇异基函数的有限元方法求解奇异两点边值问题的奇异解。
In this paper we suggesst a finite element method for singular two point boundary value problems with singular solution by introducing singular basis with local support.
测度链上奇异微分方程边值问题正解的存在性，研究的人较少，相应的文献也要少的多。
Little attention is on questions of existence of positive solutions for BVP of singular differential equation on measure chains and the relevant papers are few.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
使用锥上拓扑度理论，研究二阶非线性奇异微分方程组两点边值问题正解的存在性。
By using fixed point index theory in a cone, we study the existence of positive solutions of boundary value problems for systems of nonlinear second order singular differential equations.
第三章研究了脉冲微分方程周期边值问题正解和奇异边值正解的存在性。
Chapter 3 concerns positive solution of impulsive periodic boundary value problem and singular impulsive boundary value problem.
第三章研究了脉冲微分方程周期边值问题正解和奇异边值正解的存在性。
Chapter 3 concerns positive solution of impulsive periodic boundary value problem and singular impulsive boundary value problem.
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