Eventual disconjugacy of self-adjoint difference equations

被引：0
|
作者：
Chen, Shaozhu [1 ]
机构：
[1] Department of Mathematics, Shandong University, Jinan, Shandong 250100, China
来源：
Computers and Mathematics with Applications | 1999年 / 38卷 / 05期
关键词：
Convergence of numerical methods - Perturbation techniques - Theorem proving;
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摘要：
Given an eventually disconjugate second-order self-adjoint difference equation Δ(cnΔΕn)+anΕn+1 = 0, where cn≠0 and is not assumed to be positive, this paper studies the eventual disconjugacy of the perturbed difference equation Δ(cnΔyn)+(an+fn)yn+1 = 0. Analogous to a theorem of Willett for corresponding differential equations, a necessary and sufficient condition for eventual disconjugacy in terms of a convergent sequence of averaged sums of fn is obtained.
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页码：117 / 128
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