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。
This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series.
本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。
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 oscillation for solutions of the class of the second order strongly sublinear differential equation are discussed and three new oscillation theorems are obtained.
讨论了一类二阶强次线性微分方程解的振动性质，获得了三个新的振动性定理，推广和改进了相关文献的结果。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。
After reduce the bar's free vibration differential equation to a lower order, we analogize it to the bending theory of the beam and gives an iterative procedure.
将杆作自由振动的微分方程作降阶处理后，和梁的弯曲理论作类比，给出了一个迭代算法。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
Under homogeneous conditions, the application of this equation may give a differential approximation of high order accuracy for Lapace equation, Poisson equation and heat conduction equation.
在矩形网格上的九点差分近似的正确公式。使用它，在均质情况下，对拉普拉斯方程、布阿松方程和热传导方程可以构造出高阶精度的差分近似。
Oscillation of a kind of second order nonlinear differential impulsive equation(The equation is abbreviated), is studied and some sufficient conditions are obtained.
用黎卡堤变换研究如下二阶非线性脉冲微分方程（ 方程式略）得到了两个判断方程振动的充分条件。
When the order of dynamic differential equation is reduced, the size of matrices and equations of the proposed method are only half of that of the RPTSIM.
与更新精细积分法相比，在实现动力微分方程降阶后，矩阵尺度和方程个数减少一半；
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
This paper obtains a new oscillation theorem of high-order differential equation with damping.
本文建立了具有阻尼项的高阶微分方程新的振动定理。
In this paper, we investigate the problem of the convergence of zeros of the solution of higher order linear differential equation to small order of growth function.
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。
Essentially, the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
对峙反应动力学过程，其实质是一个求解一阶常微分方程的过程。
Axisymmetric elasticity problem of cubic quasicrystal is reduced to a solution of a partial differential equation with higher-order by introducing displacement function.
本文通过引入位移函数使得立方准晶的轴对称弹性问题化为求解一高阶偏微分方程。
Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
建立了二阶具正负系数的非线性中立型微分方程的一个线性化振动性结果。
This paper deals with the oscillation of the first order nonlinear neutral type functional differential equation, and obtains sufficient criterion of the equation oscillation.
本文研究一阶非线性中立型泛函微分方程的振动性。得到了该方程振动的充分性判别法则。
In many problems of mechanics and physics there frequently appears the differential equation with the derivative term of the highest-order containing small parameters.
在很多物理和力学的问题中常出现最高阶导数项带有小参数的微分方程。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The universality of the conclusion can be spread to mathematics and mechanics science also and give a popular method to solving this third-order nonlinear differential equation qualitatively.
结论的普遍性可以推广到数学力学学科，并给出了这一类三阶非线性微分方程求定性解的一般方法。
The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。
The three-order nonlinear differential equation set which is used to describe dynamic behavior of ASVG is proposed in this paper.
首次提出了采用三阶非线性微分方程组描述新型静止无功发生器的动态过程；
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
The fist integration is mainly used tO form the initial value solution of fist order quasi-linear partial differential equation.
本文主要用首次积分法构造一阶拟线性偏微分方程始值问题的解。
The driveline for a tractor vehicle is simplified as a 2-DOFs(degree of freedom)torsional vibration system, and is described as a second-order differential equation.
将牵引车的传动系简化为一个2自由度的扭转振动系统，并以二阶微分方程描述。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
应用推荐