Approximate controllability of damped second-order neutral differential equations with state-dependent delay

被引：2

作者：

Sasikumar, R. ^{[1
]}

Vijayakumar, V. ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2025年 / 98卷 / 06期

关键词：

Approximate controllability; fixed point theorem; neutral differential equation; state-dependent delay; SYSTEMS; EXISTENCE;

D O I：

10.1080/00207179.2024.2395316

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article discusses the approximate controllability of damped second-order neutral differential equations with state-dependent delay. The results are obtained using strongly continuous cosine family theories and fixed-point theories. Assuming approximate controllability of the corresponding equation, we obtain sufficient conditions for approximate controllability of the nonlinear second-order equations. An application are provided to demonstrate how the proposed result can be applied.

引用

页码：1326 / 1334

页数：9

共 35 条

[1]

Annapoorani N, 2016, Nonlinear functional analysis and applications, V21, P367

[2] EXISTENCE AND CONTROLLABILITY RESULTS FOR DAMPED SECOND ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH STATE-DEPENDENT DELAY [J].

Arjunan, M. Mallika ;

Nadaf, N. Y. .

OPUSCULA MATHEMATICA, 2014, 34 (03) :503-522

[3] CONTROLLABILITY OF DAMPED SECOND-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS WITH IMPULSES [J].

Arthi, G. ;

Balachandran, K. .

TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (01) :89-106

[4] Controllability of second-order semilinear neutral functional differential systems in Banach spaces [J].

Balachandran, K ;

Anthoni, SM .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (10-11) :1223-+

[5] Approximate Controllability of a Second Order Neutral Differential Equation with State Dependent Delay [J].

Das S. ;

Pandey D.N. ;

Sukavanam N. .

Differential Equations and Dynamical Systems, 2016, 24 (2) :201-214

[6]

Fattorini HO., 1985, Second-order linear differential equations in Banach spaces

[7] A Study on the Approximate Controllability of Damped Elastic Systems Using Sequence Method [J].

Gou, Haide ;

Li, Yongxiang .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)

[8] A note on partial functional differential equations with state-dependent delay [J].

Hernandez, Eduardo ;

Prokopczyk, Andrea ;

Ladeira, Luiz .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (04) :510-519

[9] Existence results for a damped second order abstract functional differential equation with impulses [J].

Hernandez, Eduardo ;

Balachandran, K. ;

Annapoorani, N. .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (11-12) :1583-1594

[10]

Hernandez Eduardo M., 2007, ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, V21

← 1 2 3 4 →