目的研究脉冲中立型微分方程正解的存在性。
Aim To investigate the existence of positive solutions for impulsive neutral differential equations.
得到了一类离散多点边值问题的正解的存在性定理。
Solvability of a second order multi-point boundary value problem with generalized Sturm-Liouville boundary condition;
考察了一类非线性四阶弹性梁方程的解和正解的存在性。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
利用锥上的不动点定理得到了一个正解和两个正解的存在性。
Using cone fixed point theorem we get the existence of one and two positive solutions.
并得到了上述方程可积极小正解的存在性、逼近性、稳定性。
Existence, approximation and stability of integrable minimum positive solutions for the above equation are gained.
本文研究了一类高阶非线性中立型差分方程组多正解的存在性。
Multiple positive solutions for a class of higher order nonlinear neutral system of difference equations are studied in this paper.
研究了一类高阶非线性中立型差分方程正解的存在性和渐近性。
This paper is concerned with the asymptotic behavior and existence of positive solutions for a class of higher order nonlinear neutral difference equation.
本文利用不动点指数理论得到离散边值问题多重正解的存在性。
In this paper, we consider the existence of multiple positive solutions of discrete boundary value problem. The theory of fixed point index is used here to derive the existence theorem.
通过应用一个新的三解定理，得到了边值问题多重正解的存在性。
Sufficient conditions are established for the multiplicity of solutions of this problem by using Leggett-Williams theorem.
本文研究一类不稳定型高阶中立型微分方程正解的存在性与有界振动。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of high order unstable type neutral differential equations.
本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动。
In this paper, we study the existence of positive solutions and the bounded oscillation of a class of second order unstable type neutral differential equations.
利用锥不动点定理研究了一类二阶非线性周期边值问题正解的存在性。
A fixed point theorem in cone is used to study the existence of normal solution of second-order periodic boundary value problems.
作为推论，我们给出了概周期正解的存在性定理并且推广了已有的结果。
As a corollary, we present some existence theorems of positive almost periodic solutions, which generalize some existing results.
考察了含有各阶导数的一个4阶非线性弹性梁方程的解和正解的存在性。
The existence of solution and positive solution is considered for a fourth-order nonlinear elastic beam equation with derivatives of all orders.
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.
运用不动点定理，研究一类具状态依赖时滞的微分方程周期正解的存在性。
By applying a fixed point theorem, the authors study the existence of positive periodic solutions to a class of differential equations with stated-dependent delay.
研究了一类捕食者-食饵模型的平衡态系统在第三边界条件下正解的存在性。
The existence of positive solutions of the steady-state system is studied for a kind of predator-prey model under the third boundary conditions.
本文利用移动球面法证明了一类半线性椭圆型方程组正解的存在性与不存在性。
Existence and nonexistence of positive solutions for a class of semilinear elliptic systems are considered via the method of moving spheres.
利用锥上的不动点定理讨论了一阶脉冲微分方程周期边值问题的正解的存在性。
By using the fixed point theorem on cone, this paper studies the existence of positive solutions for first order periodic boundary value problem with impulses.
运用不动点定理，研究了一类带积分边界条件的二阶微分方程三个正解的存在性。
By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
通过利用不动点指数理论及一个新的三解定理，得到了边值问题多个正解的存在性。
By using the fixed point theory and a new three-solution theorems, the existence of multiple solutions of the boundary value problem was obtained.
本文主要运用锥不动点定理和格林函数研究二阶非线性常微分方程组正解的存在性。
In this paper, we study the existence of positive solutions to second - order nonlinear ordinary differential equations by using fixed point theorem in cones and Green's function.
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.
利用一个著名的不动点指标定理，获得了该方程周期正解的存在性、多重性和不存在性。
By using a well-known fixed point index theorem, we obtain the existence, multiplicity and nonexistence of positive periodic solution(s) to this equation.
应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.
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.
利用范数形式的锥拉伸与压缩不动点定理，研究了一类四点边值问题拟对称正解的存在性。
By using the fixed-point theorem of cone expansion-compression type with norm, we study the existence of positive pseudo-symmetric solutions to a four-point boundary value problem.
本文利用连续性方法，得到了一类半线性椭圆方程第一边值问题在环形域上任向对称正解的存在性。
In this paper, We study American option pricing by using the continuity algorithm for linear complementarity Problem.
通过使用不动点指数定理，我们得到了问题(3.1.1)正解的存在性以及问题(3.1.2)正解的存在区间。
We obtain the existence of positive solutions of BVP (3.1.1) and the existence interval of positive solutions of BVP (3.1.2), by using fixed point index theorems.
把所得结果应用于研究常微分方程积分边值问题正解的存在性，所得结果推广和本质上改进了马如云等作者最近的一些结果。
Finally the main results are used to establish some existence results for positive solutions of integral boundary value problems for ordinary differential equations.
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