A retarded Gronwall-like inequality and its applications

被引：148

作者：

Lipovan, O

机构：

[1] Str. Carpati 29

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 252卷 / 01期

关键词：

integral inequality; retarded differential equation; global existence; nonoscillatory solution;

D O I：

10.1006/jmaa.2000.7085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Gronwall-like inequality and present some of its applications to the qualitative study of retarded differential equations. The problems of global continuation of the solutions and the existence of nonoscillatory solutions are considered. By means of examples we show the usefulness of our results. (C) 2000 Academic Press.

引用

页码：389 / 401

页数：13

共 15 条

[1]

[Anonymous], 1956, ACTA MATH ACAD SCI H

[2]

[Anonymous], 1919, ANN MATH

[3]

Bellman R., 1943, DUKE MATH J, V10, P643, DOI [10.1215/S0012-7094-43-01059-2, 10.1215/s0012-7094-43-01059-2]

[4] Global existence of solutions for perturbed differential equations. [J].

Constantin, A .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1995, 168 :237-299

[5]

CORDUNEANU C, 1991, INTEGRAL EQUATIONS A

[6]

Driver R. D., 1965, RATIONAL MECH ANAL, V19, P149, DOI DOI 10.1007/BF00282279

[7]

GYORI I, 1989, B UNIONE MAT ITAL, V3B, P185

[8]

HALE JK, 1977, THEORY FUNCTIONAL DI

[9] CONTINUABILITY OF SOLUTIONS OF PERTURBED DIFFERENTIAL-EQUATIONS [J].

HARA, T ;

YONEYAMA, T ;

SUGIE, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (08) :963-975

[10]

Iserles A., 1993, European J. Appl. Math, V4, P1, DOI [DOI 10.1017/S0956792500000966), 10.1017/S0956792500000966, DOI 10.1017/S0956792500000966]

← 1 2 →