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Partial differential equations with piecewise constant delay

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  • Joseph Wiener
  • Lokenath Debnath

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.

Suggested Citation

  • Joseph Wiener & Lokenath Debnath, 1991. "Partial differential equations with piecewise constant delay," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:395172
    DOI: 10.1155/S0161171291000674
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