EXISTENCE AND UNIQUENESS OF THE SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS WITH IMPULSIVE TERMS

被引：0

作者：

Ahn, Young-Chel ^{[1
]}

Kwun, Young-Chel ^{[1
]}

Park, Dong-Gun ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Busan 604714, South Korea

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2008年 / 1卷 / 01期

关键词：

nonlinear impulsive evolution; strongly continuous semigroup; contraction mapping; fixed point theorem; cosine family; regular;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence and controllability of the solutions for the impulsive nonlinear second order differential equations with nonlocal conditions by using solution operator and integral contractor.

引用

页码：93 / 111

页数：19

共 12 条

[1]

Altman M., 1978, THEORY AND APPL

[2]

Bainov D. D., 1994, IMPULSIVE DIFFERENTI

[3]

Balachandran K., 1999, B KOREAN MATH SOC, V36, P1

[4] Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions [J].

Benchohra, M ;

Ntouyas, SK .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (03) :559-571

[5] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM [J].

BYSZEWSKI, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) :494-505

[6] APPROXIMATE CONTROLLABILITY OF SEMILINEAR SYSTEMS USING INTEGRAL CONTRACTORS [J].

GEORGE, RK .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1995, 16 (1-2) :127-138

[7]

Lakshmikantham V, 1989, THEORY IMPULSIVE DIF

[8]

Park JY, 1998, INDIAN J PURE AP MAT, V29, P941

[9]

Rogovchenko YV, 1997, DYN CONTIN DISCRET I, V3, P57

[10] ABSTRACT 2ND ORDER SEMI-LINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATION [J].

TRAVIS, CC ;

WEBB, GF .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1979, 10 (02) :412-424

← 1 2 →