Partial differential equations with piecewise constant delay

Joseph Wiener and Lokenath Debnath

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-12

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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:395172

DOI: 10.1155/S0161171291000674

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