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二阶差分方程解的振动性与渐近性
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF SECOND ORDER DIFFERENCE EQUATIONS
【摘要】 本文研究了二阶差分方程 △(an(△Xn)σ)+qn+1f(Xn+1)=rn+1,n N的解的振动性与渐近性,其中 N={0,1,2,…}, 0<σ=p/q, p为奇数或偶数, q为奇数.
【Abstract】 In this paper, the oscillatory and asymptotic behavior of the solutions of the second order difference equation △an(△Xn)σ) + qn+1f(xn+1)= rn+1, n N are considered, where N = {0, 1, 2,…}, 0 < σ = with p, q odd integers, or p even and q odd integers.
【关键词】 二阶差分方程;
振动;
非振动;
渐近性;
离散化;
【Key words】 Second order difference equation; oscillation; nonoscillation; asymptotic behavior; discretization.;
【Key words】 Second order difference equation; oscillation; nonoscillation; asymptotic behavior; discretization.;
【基金】 华东师范大学研究生基金
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2001年02期
- 【分类号】O175
- 【被引频次】9
- 【下载频次】101