Abstract
Some work is described and new topics are posed on initial and boundary‐value problems for partial differential equations whose arguments have intervals of constancy. These equations are of considerable theoretical and applied interest.
Highlights
Functional differential equations (FDE) with delay provide a mathematical model for a physical or biological system in which the rate of change of the system depends upon its past history
The survey concentrates on differential equations with piecewise continuous arguments (EPCA), the exploration of which has been initiated in our papers a few years ago
These equations arise in an attempt to extend the theory of FDE with continuous arguments to differential equations with discontinuous arguments
Summary
Functional differential equations (FDE) with delay provide a mathematical model for a physical or biological system in which the rate of change of the system depends upon its past history. The survey concentrates on differential equations with piecewise continuous arguments (EPCA), the exploration of which has been initiated in our papers a few years ago. A solution is defined as a continuous, sectionally smooth function that satisfies the equation
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