The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
The governing equations for the problem is modified into a second-order nonlinear differential system with two infinitesimal parameters and a double parameter multiple scale method is presented.
将该问题的基本方程化为具有两个小参数的二阶非线性方程组，并在双参数摄动法和单参数多重尺度法的基础上提出了双参数多重尺度法。
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.
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。
The mathematical model describing the profiles of concentration in the cylindrical catalyst is the nonlinear partial differential equations of second order.
在圆柱状催化剂内的浓度分布的表征方程为二阶偏微分方程组。
In this paper a new oscillation criterion for second order nonlinear differential equations was established.
本文建立了一类带偏差变元的偏微分方程边值问题解的振动准则。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
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.
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。
The oscillation of a class of second-order nonlinear functional differential equations is discussed, and some new oscillation criteria for the equations are obtained.
讨论了一类二阶非线性泛函微分方程的振动性，得到一些新的振动准则。
The oscillation of a class of second-order nonlinear functional differential equations is discussed, and some new oscillation criteria for the equations are obtained.
讨论了一类二阶非线性泛函微分方程的振动性，得到一些新的振动准则。
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