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Oscillatory Analysis for a Class of Nonlinear Neutral Generalized Elastic-Rod Equations with Distributed Delay(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2022年04期
Page:
10-15
Research Field:
数学
Publishing date:

Info

Title:
Oscillatory Analysis for a Class of Nonlinear Neutral Generalized Elastic-Rod Equations with Distributed Delay
Author(s):
Luo Liping
(College of Mathematics and Statistics,Hengyang Normal University,Hengyang 421002,China)
Keywords:
oscillation; generalized elastic-rod equation; distributed delay; nonlinear neutral type; even order
PACS:
O175.29; O175.4
DOI:
10.3969/j.issn.1001-4616.2022.04.002
Abstract:
Based on the close relationship between the vibration problems of nonlinear elastic rod(systems)structure in mechanics and the oscillation theory of partial differential equation(systems)in mathematics,the oscillation problems for a class of even order nonlinear neutral generalized elastic-rod equations with distributed delays are investigated,and some new sufficient criteria for oscillation of all solutions of such elastic-rod equations are establish under Dirichlet's boundary value condition,which the effectiveness of the results is illustrated by an example. The obtained results reflect the oscillation state of such elastic-rod structure in the case that the oscillation kept happening.

References:

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Last Update: 2022-12-15