Title

Partial Differential Equations With Piecewise Constant Delay

Keywords

Abstract Cauchy Problem; Existence; Initial Value Problem; Loaded Equation; Partial Differential Equation; Piecewise Constant Delay; Uniqueness

Abstract

The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in partial derivatives. A class of loaded partial differential equations that arise in solving certain inverse problems is studied in some detail in Section 3. Section 4 is devoted to obtain the solutions of IVP for linear partial differential equations with piecewise constant delay by using integral transforms. Finally, an abstract Cauchy problem is discussed. © 1991, Hindawi Publishing Corporation. All rights reserved.

Publication Date

1-1-1991

Publication Title

International Journal of Mathematics and Mathematical Sciences

Volume

14

Issue

3

Number of Pages

485-496

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1155/S0161171291000674

Socpus ID

4544245404 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/4544245404

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