期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Forced Oscillation of Delay Difference Equation
摘要/Abstract
摘要：
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 ,得到了若干新的判别条件
Abstract：
A necessary and sufficient condition of existence of final positive and negative solution tothe 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 nonlineardifference equation by using comparison theorem. Some new conditions to ensure oscillating of solutionare obtained.
关键词
Key words：
difference equation
;
continuous variable
;
oscillation
;
final positive solution