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Applicant:
Indian Institute of Technology (IIT) Patna 
Author:
S Kumar, N Kumar Tomar,  
Corresponding Authors:
S Kumar 
DOI #:
10.1093/imamci/dny037 
Title:
Mild solution and controllability of second-order non-local retarded semilinear systems,  
Journal:
IMA Journal of Mathematical Control and Information  
Year:
2020 
Volume:
37 (1) 
Page:
39-49 
Keywords:
second-order systems; controllability; cosine families; delay differential equations; 
Abstract:
This paper presents a study on a family of second-order retarded semilinear control systems with nonlocal delay condition. The existence and uniqueness of mild solution has been deduced using the famous Banach contraction principle. An inclusion relation between the reachable set of semilinear control system and that of the associated linear system has been established. Finally, one example has been described to demonstrate the application of the proposed results.  
Entered by:
Physics Head on 2020-08-04 
 
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