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The Asymptotic Behavior of Nonoscillatory Solutions of Neutral Difference Equations With "Maxima"(PDF)

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

Issue:
2011年02期
Page:
15-17
Research Field:
数学
Publishing date:

Info

Title:
The Asymptotic Behavior of Nonoscillatory Solutions of Neutral Difference Equations With "Maxima"
Author(s):
Tan Fujin; Deng Yanping
College of Mathematics and Computer Science,Guangxi University for Nationlities,Nanning 530006,China
Keywords:
neutra l d iffe rence equations;  max im a;  solution of nonosc illa to ry;  asympto ic
PACS:
O175.7
DOI:
-
Abstract:
Th is paper considers the first order neutral difference equation, ?? ( xn + pn xn- k ) + qn m ax s?? [n- l, n]rs xs = 0, n?? N.Su fficient conditions for asympto tic behav ior o f nono sc illato ry so lu tions of the equation are obta ined, related research work and results are ex tensioned.

References:

[ 1] ?? Ba inov D, PetrovV, ProytchevaV. Ex istence and asympto tic behav io r of nonosc illato ry so lutions of second o rder neutra l d iffer?? ential equations w ith ??M ax im a?? [ J]. Journa l o f Compu tational and AppliedM athema tics, 1997, 83: 237??249.
[ 2] ?? PetrovV. Nono sc illato ry so lutions o f neutra l d ifferentia l equations w ith ??M ax im a?? [ J]. Communications in App lied Ana lys is, 1998, 2: 129??142.
[ 3] ?? 张广, 高英. 差分方程的振动理论[M ]. 北京: 高等教育出版社, 2001.
[ 4] ?? 罗交晚, 刘正荣, 俞元洪. 带有极大值项的中立型差分方程的振动性和非振动性[ J] . 应用数学学报, 2002, 25( 3): 385??391.
[ 5] ?? 范彩霞, 赵爱民, 邓嵩. 带有极大值项的中立型差分方程的振动性[ J] . 山西大学学报: 自然科学版, 2005, 28( 1): 5??7.

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Last Update: 2011-06-15