Using an O-KKM type theorem, some existence theorems of solutions for abstract generalized vector equilibrium problems in the framework of topological ordered spaces is proved.
在拓扑序空间的框架下，利用一个序KKM型定理证明了一些广义向量值均衡问题解的存在性定理。
By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system.
利用拓扑度理论中的连续定理以及M -矩阵的性质获得了该系统正周期解存在的充分条件。
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.
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。
Based on the fixed point theorem of two-point extension type, sufficient conditions are derived for the existence of positive periodic solutions of delay difference equations.
利用两点拉伸型不动点定理给出一阶时滞差分方程周期解存在性的充分条件。
This paper presents a new existence theory for positive solutions to a kind of second-order discrete periodic boundary value problems by employing a fixed point theorem in cones.
运用锥不动点定理，给出了二阶离散周期边值问题正解的新的存在性定理。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
利用不动点理论，给出了一类非线性积分方程正的遍历解存在的充分条件。
By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
The existence theorem of a class of periodic boundary value problems for first order nonlinear integrodifferential equations is obtained through the method of lower and upper solutions.
研究了一类纯量形式非线性积分微分方程周期边值问题，利用上下解法证明了解的存在性。
By applying the fixed point theorem, several new existence theorems of solutions for quasi-equilibrium problems are given under noncompact setting of topological Spaces.
应用此不动点定理，在非紧的一般拓扑空间中给出了几个关于拟平衡问题的解的存在性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
Sufficient conditions for the existence of positive periodic solutions are established by applying the continuation theorem of coincidence degree theory.
将应用叠合度理论的延拓定理建立正周期解存在的充分条件。
An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.
对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。
A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given.
建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. Some results are improved.
本文运用整体反函数理论证明了一类半线性方程边值问题周期解的存在唯一性，推广和改进了已有的一些结果。
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