SOLUTIONS OF SECOND ORDER ABSTRACT RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS ON THE LINE

被引：0

作者：

Cuevas, Claudio ^{[1
]}

Henriquez, Hernan R. ^{[2
]}

机构：

[1] Univ Fed Pernambuco, Dept Math, BR-50540740 Recife, PE, Brazil

[2] Univ Santiago, USACH, Dept Math, Santiago, Chile

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2011年 / 12卷 / 02期

关键词：

Second-order abstract retarded functional differential equations; variation of constants formula; nonlocal conditions; cosine function of operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with second-order abstract retarded functional differential equations with infinite delay. We obtain a variation of constants formula for the nonhomogeneous equation, and applying this formula we establish the existence of mild solutions for the problem with nonlocal conditions, and the existence of mild solutions on the line.

引用

页码：225 / 240

页数：16

共 50 条

[1] Asymptotically almost periodic solutions of abstract retarded functional differential equations of second order
Henriquez, Hernan R.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2009, 60 (05): : 797 - 822
[2] Asymptotically almost periodic solutions of abstract retarded functional differential equations of second order
Hernán R. Henríquez
Zeitschrift für angewandte Mathematik und Physik, 2009, 60 : 797 - 822
[3] Asymptotically almost periodic solutions of abstract retarded functional differential equations of first order
Henriquez, Hernan R.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (04) : 2441 - 2454
[4] Second Order Abstract Neutral Functional Differential Equations
Hernán R. Henríquez
Claudio Cuevas
Journal of Dynamics and Differential Equations, 2017, 29 : 615 - 653
[5] Second Order Abstract Neutral Functional Differential Equations
Henriquez, Hernan R.
Cuevas, Claudio
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2017, 29 (02) : 615 - 653
[6] Regularly varying solutions of second order nonlinear functional differential equations with retarded argument
Kusano, Takasi
Maric, V.
HIROSHIMA MATHEMATICAL JOURNAL, 2011, 41 (02) : 137 - 152
[7] Regularity of solutions of abstract retarded functional differential equations with unbounded delay
Henriquez, HR
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (03) : 513 - 531
[8] Almost Periodic Solutions of Abstract Retarded Functional Differential Equations with Unbounded Delay
Hernán R. Henríquez
Carlos H. Vásquez
Acta Applicandae Mathematica, 1999, 57 : 105 - 132
[9] Almost periodic solutions of abstract retarded functional differential equations with unbounded delay
Henríquez, HR
Vásquez, CH
ACTA APPLICANDAE MATHEMATICAE, 1999, 57 (02) : 105 - 132
[10] Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations
谢灵红
顾晓慧
谢建华
Journal of Southwest Jiaotong University, 2003, (01) : 98 - 102

← 1 2 3 4 5 →