Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay

被引：0

作者：

Karthikeyan, Kulandhivel ^{[3
]}

Tamizharasan, Dhatchinamoorthy ^{[4
]}

Abdeljawad, Thabet ^{[1
,2
]}

Nisar, Kottakkaran Sooppy ^{[5
]}

机构：

[1] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh, Saudi Arabia

[2] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[3] KPR Inst Engn & Technol, Ctr Res & Dev, Dept Math, Coimbatore, Tamil Nadu, India

[4] KS Rangasamy Coll Technol, Dept Math, Namakkal, Tamil Nadu, India

[5] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 04期

关键词：

cosine function; impulsive neutral equation; state dependent delay; wellposedness; EVOLUTION SYSTEMS; APPROXIMATE CONTROLLABILITY; EXISTENCE; PARAMETERS; INCLUSIONS; DISCRETE; DYNAMICS; RESPECT; MODEL;

D O I：

10.1515/ijnsns-2021-0160

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study investigates the functional abstract second order impulsive differential equation with state-dependent delay. The major result of this study is that the abstract second-order impulsive differential equation with state-dependent delay system has at least one solution and is unique. After that, the wellposed condition is defined. Following that, we look at whether the proposed problem is wellposed. Finally, some illustrations of our findings are provided.

引用

页码：1355 / 1368

页数：14

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