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Forced Oscillation for Systems of a Class of Quasilinear Impulsive Delay Parabolic Equations(PDF)

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

Issue:
2009年04期
Page:
7-11
Research Field:
数学
Publishing date:

Info

Title:
Forced Oscillation for Systems of a Class of Quasilinear Impulsive Delay Parabolic Equations
Author(s):
Luo Liping; Yang Liu; Wang Yanqun
Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China
Keywords:
quas ilinear;  impu lse;  system s o f de lay parabo lic equa tions;  osc illation;  strong o sc illation
PACS:
O175.26
DOI:
-
Abstract:
The oscillation and strong osc illa tion o f the system s of a c lass o f quasilinear impu lsive de lay parabo lic pa rtia l differential equations is cons idered. By using the osc illa to ry defin ition, G reen’s form ula and Newm ann boundary cond-i tion directly, the osc illa to ry problem o f so lution to the sy stem s of impulsive de lay parabolic equations w ith the forc ing te rm is reduced to the problem o fw hich im pu ls ive delay differential inequality hasn’t even tua lly pos ition so lution, and thereby som e su ffic ient conditions are obta ined for the oscillation and strong oscillation o f a ll so lutions of such system s v ia the de finition o f eventua lly position so lu tion and impulsive delay d iffe rentia l inequa lity. The obta ined resu lts fu lly reflect the influence action o f impu lsive and delay in osc illation.

References:

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Last Update: 2013-04-23