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One Inequality in n Independent Variables With Retardation(PDF)

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

Issue:
2009年02期
Page:
13-16
Research Field:
数学
Publishing date:

Info

Title:
One Inequality in n Independent Variables With Retardation
Author(s):
Guo Jifeng; Zhao Yuzhong
College of Science,Qingdao Technological University,Qingdao 266033,China
Keywords:
n independen t variab les;  non linear integra l inequa lity;  Ou-Iang type inequa lity
PACS:
O175.7
DOI:
-
Abstract:
Som e Ou- Iang type integral inequa lities w ith retardation are estab lished, wh ich no t only g eneralizes and improves som e ex isting resu lts, but a lso plays an im po rtant ro le in the qua lita tive theo ry of certa in differential equa tions. A new w ay to study inequa lity is a lso brought forw ard

References:

[ 1]  Ou-Iang. The boundedness of so lutions o f line r differentia l equations y+ A ( t) y = 0[ J]. Shuxue J inzhan, 1957, 3: 409-415.
[ 2]  杨恩浩. 若干有关欧阳不等式的非线性积分不等式和离散不等式[ J]. 数学学报, 1998, 41( 3) : 475-480.
[ 3]  郭继峰. 关于n 个独立变元的欧阳型非线性积分不等式[ J] . 纯粹数学与应用数学, 2002, 18( 1) : 1-4.
[ 4] 郭继峰. 关于n 个无关变元的欧阳型离散型不等式[ J] . 数学学报, 2002, 45( 1): 183-186.
[ 5] Lax P D. On Gronw al-l Be llm an-B ihair-Type integra l inequa lities in severa l va riab les w ith retarda tion [ J]. Journa l o fM athematica l Ana lys is and App lication, 1984,104: 1-26.

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Last Update: 2013-04-23