A DISCUSSION ON CONTROLLABILITY OF SEMILINEAR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS OF SECOND ORDER

The study of controllability results ensure the essential conditions required for a solution. Keeping the importance of the study, we discuss the controllability of semilinear impulsive functional-differential equations (SIFDE) of second order. For this purpose we use the idea of strongly continuous...

Full description

Saved in:
Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 15; no. 3; p. 590
Main Authors Kumar, K, Kumar, R
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.03.2025
Subjects
Differential equations
India
Online AccessGet full text
ISSN2146-1147

Cover

More Information
Summary:The study of controllability results ensure the essential conditions required for a solution. Keeping the importance of the study, we discuss the controllability of semilinear impulsive functional-differential equations (SIFDE) of second order. For this purpose we use the idea of strongly continuous cosine families (SCCF) of linear operators and Banach Contraction principle. Lastly, an example is set to explain the abstract theory. The achieved results reveal that the proposed method is systematic and appropriate for dealing with the semilinear impulsive functional-differential problem that arises in engineering and physics. Keywords: Functional-differential equation; Second order; Impulsive condition; Banach contraction principle; Cosine family. AMS Subject Classification: 34K30, 47H10, 34A37, 93B05.
ISSN:2146-1147