...二阶非线性微分方程; 新的可解类型; 特征方程; 通解的特征根表达式 中图分类号： O. 175. 1 文献标识号： A [gap=4508]Key words: Second order non-linear differential equation; new solvable type; characteristic equation; characteristic root expression for..
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二阶非线性常微分方程 Second-order nonlinear ordinary differential equation
本文给出了某些二阶非线性微分方程在周期外力作用下存在调和解的若干定理。
In this paper we prove some theorems on harmonic solutions of some second-order nonlinear equations under a periodic external force.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
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。
Established a linearized oscillation result of the second order nonlinear neutral delay differential equation with positive and negative coefficients.
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