ON SOME NEW INTEGRODIFFERENTIAL-INEQUALITIES OF THE GRONWALL AND WENDROFF-TYPE

被引：10
作者：
CHEUNG, WS
机构：
[1] Department of Mathematics, University of Hong Kong, Pokfulam Road
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 178卷 / 02期
关键词：
D O I：
10.1006/jmaa.1993.1317
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper some new integrodifferential inequalities of the Gronwall and Wendroff type in several independent variables are established. These inequalities are useful in the study of many qualitative as well as quantitative properties of solutions of partial differential and integral equations. © 1993 Academic Press. Inc. All rights reserved.
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收藏
页码：438 / 449
页数：12
相关论文
共 11 条
[1]  
Beckenbach E.F., 1961, INEQUALITIES
[2]   NON-LINEAR INTEGRAL INEQUALITIES OF THE WENDROFF TYPE [J].
BONDGE, BK ;
PACHPATTE, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 70 (01) :161-169
[3]  
GHOSHAL SK, 1974, INDIAN J PURE APPL M, V5, P297
[4]  
Gronwall T H., 1919, ANN MATH, V20, P292
[5]   SOME INTEGRAL INEQUALITIES SIMILAR TO BELLMAN-BIHARI INEQUALITIES [J].
PACHPATTE, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 49 (03) :794-802
[6]   ON SOME NEW INTEGRODIFFERENTIAL-INEQUALITIES OF THE WENDROFF-TYPE [J].
PACHPATTE, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 73 (02) :491-500
[7]   NOTE ON GRONWALL-BELLMAN INEQUALITY [J].
PACHPATTE, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (03) :758-762
[8]  
PACPATTE BG, 1977, AN STINT U A1, V23, P77
[9]   GRONWALLS INEQUALITY FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS IN 2 INDEPENDENT VARIABLES [J].
SNOW, DR .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 33 (01) :46-&
[10]  
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