Partial differential equations with piecewise constant delay
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 ofIVPfor linear partial differential equations with piecewise constant delay by using integral transforms. Finally, an abstract Cauchy problem is discussed.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 1991
- Source ID
- 10.1155/s0161171291000674
Entities
People
- Joseph Wiener
- Lokenath Debnath
Organizations
- Army Research Office
- University of Central Florida
- University of Texas–Pan American