差分方程的强迫振动

Forced Oscillation of Delay Difference Equation

利用 Lebesgue收敛定理和函数构造法证明了非线性差分方程存在最终正解、最终负解的充要条件 .利用该充要条件和比较原理讨论了带有强迫项的非线性方程解的振动性与非线性方程解振动之间的关系 。

A necessary and sufficient condition of existence of final positive and negative solution to the difference equation by using Lebesgue convergence theorem and construction of function is obtained.Extend relations between solutions of nonlinear difference equation with forced term and nonlinear difference equation by using comparison theorem.Some new conditions to ensure oscillating of solution are obtained.