EXISTENCE of SOLUTIONS for NONLINEAR IMPULSIVE MULTIPLE RETARDED DIFFERENTIAL and IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS of SECOND ORDER

Abstract

In this paper, we deal with the existence of solutions of certain impulsive multiple retarded differential equations (ImMRDEs) and impulsive multiple retarded integro-differential equations (ImMRIDEs) of second order. We prove two new results on the existence of solutions of the considered ImMRDE and ImMRIDE of second order. The technique of the proofs depends on the Schae-fer fixed point theorem (Schaefer FPT) and fixed moments of impulse effects. The outcomes of this paper have more general forms and improve the known results in the relevant literature, and they have new contributions to the theory of impulsive retarded differential equations (ImMRDEs). The outcomes of this paper have also new complementary properties for the works in relation to the symmetry of impulsive differential equations (ImDEs) of second order with or without delay, impulsive retarded integro-differential equations (ImMRIDEs) of second order, and some others.

Department(s)

Mathematics and Statistics

Keywords and Phrases

existence of solutions; ImMRDE; ImMRIDE of second order; multiple retardations; Schaefer FPT

International Standard Serial Number (ISSN)

1880-5221; 1345-4773

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Yokohama Publishers, All rights reserved.

Publication Date

01 Jan 2024

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