GENERALIZED BOHL-PERRON PRINCIPLE FOR DIFFERENTIAL EQUATIONS WITH DELAY IN A BANACH SPACES

被引：0

作者：

Gil', Michael ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Banach space; differential equation with delay; linear equation; exponential stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a linear homogeneous functional differential equation with delay in a Banach space. It is proved that if the corresponding non-homogeneous equation, with an arbitrary free term bounded on the positive half-line and with the zero initial condition, has a bounded solution, then the considered homogeneous equation is exponentially stable.

引用

页数：7

共 50 条

[41] EXISTENCE OF GENERALIZED WEAKLY SOLUTIONS OF DIFFERENTIAL EQUATIONS IN PRODUCT SPACES [J].

范进军 .

AnnalsofDifferentialEquations, 2004, (01) :21-29

[42] Delay-dependent stability conditions for differential-difference equations with small commutators in a banach space [J].

Gil', Michael .

BULLETIN OF MATHEMATICAL SCIENCES, 2024, 14 (01)

[43] Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces [J].

Xu, HK ;

Nieto, JJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (09) :2605-2614

[44] Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces [J].

Slyusarchuk, V. Yu .

UKRAINIAN MATHEMATICAL JOURNAL, 2013, 65 (02) :341-347

[45] Positive Solutions of Singular Integro-differential Equations at Resonance in Banach Spaces [J].

Cao, Jianxin ;

Chen, Haibo .

FOURTH INTERNATIONAL CONFERENCE ON MACHINE VISION (ICMV 2011): MACHINE VISION, IMAGE PROCESSING, AND PATTERN ANALYSIS, 2012, 8349

[46] THE INITIAL VALUE PROBLEMS OF FIRST ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES [J].

孙钦福 ;

栾世霞 .

AppliedMathematicsandMechanics(EnglishEdition), 2000, (01) :35-44

[47] The initial value problems of first order impulsive differential equations in Banach spaces [J].

Sun, QF ;

Luan, SX .

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (01) :33-42

[48] BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS IN BANACH SPACES [J].

Hamani, Samira ;

Henderson, Johnny ;

Nieto, Juan J. .

FIXED POINT THEORY, 2017, 18 (02) :591-599

[49] Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces [J].

V. Yu. Slyusarchuk .

Ukrainian Mathematical Journal, 2013, 65 :341-347

[50] The initial value problems of first order impulsive differential equations in banach spaces [J].

Qinfu S. ;

Shixia L. .

Applied Mathematics and Mechanics, 2000, 21 (1) :33-42

← 1 2 3 4 5 →