A PRIORI ESTIMATES OF SOLUTIONS OF SYSTEMS OF FUNCTIONAL DIFFERENTIAL INEQUALITIES AND SOME OF THEIR APPLICATIONS

被引：0

作者：

Kiguradze, Ivan ^{[1
]}

Sokhadze, Zaza ^{[2
]}

机构：

[1] A Razmadze Math Inst, 1 M Aleksidze St, GE-0193 Tbilisi, Georgia

[2] A Tsereteli Kutaisi State Univ, GE-4600 Kutaisi, Georgia

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2007年 / 41卷

基金：

美国国家科学基金会;

关键词：

System of functional differential inequalities; differential system with delay; a priori estimate; boundedness; stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A priori estimates of solutions of systems of functional differential inequalities appearing in the theory of boundary value problems, as well as in the stability theory are established. On the basis of these estimates, new sufficient conditions of boundedness, uniform stability and uniform asymptotic stability of solutions of nonlinear delay differential systems are obtained.

引用

页码：43 / 67

页数：25

共 10 条

[1]

Azbelev N. V., 1991, INTRO THEORY FUNCTIO

[2]

AZBELEV N. V., 1994, STABILITY FUNCTIONAL

[3]

AZBELEV N. V., 1994, RUSSIAN MATH IZ VUZ, V38, p[20, 18]

[4]

AZBELEV NV, 1993, DIFF EQUAT+, V29, P153

[5]

GELASHVILI SH., 1995, MEM DIFFERENTIAL EQU, V5, P1

[6]

Hale J., 1977, THEORY FUNCTIONAL DI, DOI DOI 10.1007/BFB0060406

[7]

Kiguradze I., 2003, BOUNDARY VALUE PROBL, V12

[8]

Kiguradze I.T, 1987, ITOGI NAUKI TE SPMND, V30, P3

[9]

Kiguradze I. T., 1997, INITIAL BOUNDARY VAL

[10]

Krasovskii N. N., 1959, CERTAIN PROBLEMS THE

← 1 →