摘要
研究了一类具有多个时滞的二阶非线性差分方程,利用数学归纳法和Lebesgue控制收敛定理得出了其有界解振动的充分必要条件及其任一解与解的差分振动的充分条件,所得结果包含和推广了已有的结果.
Oscillation of certain second order nonlinear difference equations with many delays are studied, using mathematical induction and lebesgue deminated convergence theorem, necessary and sufficient conditions are obtained for oscillation of bounded solutions,and sufficient conditions are obtained for oscillation of any solution and its difference. Our results contain and extend the existing results in the literature.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第16期232-239,共8页
Mathematics in Practice and Theory
基金
安徽省自然科学基金(10040606Q18)
安徽农业大学青年科学基金(2010zr11)
关键词
时滞
非线性
差分方程
振动性
delay
nonlinear
difference equations
oscillation
