本文主要研究高阶微分方程周期边值问题解的存在性与多重性。
We mainly study the existence and multiplicity of solutions to high-order differential equations in this paper.
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.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
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。
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.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
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.
利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理。
The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation.
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。
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.
本文利用整体反函数理论，研究了半线性二阶微分方程周期边值问题，给出了周期解存在唯一性的充分条件。
The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems.
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.
证明了具周期系数的边值问题正时间周期解的存在性以及对应初边值问题解的渐近性。
The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.
证明了具周期系数的边值问题正时间周期解的存在性以及对应初边值问题解的渐近性。
The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied.
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