It satisfies the differential equation, the boundary conditions of the edges and the free corner conditions.
它满足微分方程，自由边界的条件以及自由角点条件。
The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.
常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。
Flexural functions satisfy the differential equations of plate and all the boundary conditions as well as the conditions at free corner points.
挠曲函数满足板的微分方程和全部边界条件、角点条件。
A set of difFerential equations and the corresponding boundary conditions are derived according to virtual work principle and the longitudinal displacement patterns.
根据所提出的位移模式，结合虚功原理推导出组合梁剪力滞效应微分方程以及相应的边界条件。
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments.
目的研究一类具有连续偏差变元的双曲偏泛函微分方程边值问题解的振动性。
A dynamic model of overhead cable for ropeway is developed together with differential equations of its vibration and initial and boundary conditions.
本文首先建立了架空索道的动力学模型，并建立了它的振动微分方程、初始条件及边界条件。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
在第二部分中，同样的方法，我们讨论了一阶脉冲微分方程积分边值问题。
In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary, boundary condition.
本文首次提出精确解析法，用以求解任意变系数微分方程在任意边界条件下的解。
It is proved that if the medium is piecewisely homogeneous, the solution of the differential -integral equation satisfies the boundary conditions on boundaries between different media.
证明了在介质为分区均匀的条件下，这个微分-积分方程的解满足不同介质边界面的边界条件。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
By variational principle we obtain a system of differential equations and corresponding boundary conditions.
利用变分原理得到平衡微分方程组和相应的边界条件。
This paper discusses the numbers of jump layers of boundary value problems in quasilinear differential equations.
本文讨论了拟线性微分方程边值问题的跳跃层个数。
We report some new results about nonlinear differential equations on a finite discrete segment with periodic boundary conditions.
还得到了有限离散区间上非线性微分方程在周期边值条件下的一些新结果。
Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.
适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。
This paper presents a free vibration study of moderately thick super-elliptical plates with various boundary constraints using the differential cubature method.
本文用一种新型的数值方法枣微分容积法求解任意边界条件下超椭圆形中厚板的自由振动问题。
On the basis of the energy-variational principle, the differential equations and boundary conditions of curved box girder are derived.
利用能量变分原理，推导出平面曲线箱梁的基本微分方程、边界条件；
The boundary value problem of ordinary differential equations is an important domain in differential equations.
常微分方程的边值问题是微分方程的一个重要研究领域。
According to elastic mechanics theories and fracture mechanics knowledge, the mechanics models for boundary value problem to a class of partial differential equations are presented.
据弹性力学理论、断裂力学知识，给出了该问题的力学模型：一类偏微分方程边值问题。
Moreover, the stochastic differential equation of seepage boundary is proposed and the mechanism of seepage evolution is analyzed.
建立了渗流边界的随机微分方程，揭示了渗流边界形貌的演化机理。
It can be applied to solve nonpositive definite or positive definite partial differential equation with arbitrary variable coefficient under arbitrary boundary condition.
它可以求解在任意边界条件下任意变系数正定或非正定偏微分方程。
Based on the elastic theory of liquid crystal and variation theory, the effect was studied, and the differential equation and boundary condition about the director of liquid crystal were obtained.
基于液晶弹性理论研究了这一效应，通过变分理论得到了液晶指向矢满足的微分方程及边界条件。
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。
Consider the distributed parameter system described by the second order partial differential equation of composed type, we discuss its a boundary optimal control problem with quadratic performance.
考虑用二阶复合型偏微分方程所描述的分布参数系统，研究了它的一个使平方性能指标达到最小值的边界最优控制问题。
The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.
利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。
The deflection functions given satisfy the differential equation of thin plate, all the boundary conditions as well as the conditions at free corner points.
给出的挠度函数满足薄板的基本微分方程、全部边界条件以及角点条件。
This model consists the hyperbolic partial differential equations, boundary conditions and cyclical conditions of the system.
该模型由描述系统振动的双曲型偏微分方程组及相应的边界条件和周期性条件组成。
In this paper, the classifications of boundary conditions of the self-adjoint differential operators and its canonical form are studied.
本文主要研究自共轭微分算子边界条件的分类及其标准型。
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.
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。
Based on the dynamical differential equations for the velocity boundary layer, dynamic integrate equation is drawn.
从边界层动态微分方程出发，按照速度边界层有关理论，推导出了边界层动态积分方程。
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