半正则三阶半线性高级中立型微分方程的kneser解的渐近性质

Functional differential equations Pub Date : 1900-01-01 DOI:10.26351/fde/29/1-2/6

K. Saranya, V. PIRAMANANTHAM, E. Thandapani, E. TUNC

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引用次数: 0

摘要

本文研究了具有(p(t)(q(t)(z ' (t))α) ') ' + f(t)xα(τ (t)) = 0的三阶中立型微分方程正解的性质，其中z(t) = x(t) + g(t)(x(σ(t))))。首先得到了Kneser型解存在的条件，然后给出了该类解收敛到零的速率的上下估计。给出了一个例子来说明主要结果的重要性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ASYMPTOTIC BEHAVIOR OF KNESER’S SOLUTION FOR SEMI-CANONICAL THIRD-ORDER HALF-LINEAR ADVANCED NEUTRAL DIFFERENTIAL EQUATIONS

In this paper, we study the properties of positive solutions of the thirdorder neutral differential equations with advanced argument of the form (p(t)(q(t)(z′(t))α)′)′ + f(t)xα(τ (t)) = 0, where z(t) = x(t) + g(t)(x(σ(t))). First we obtain conditions for the existence of Kneser type solutions and then provide lower and upper estimate that yield the rate of convergence to zero of such solutions. An example is provided to illustrate the importance of the main results.

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来源期刊

Functional differential equations

CiteScore

0.50

自引率

0.00%

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