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Advanced differential equations with piecewise constant argument deviations

Author

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  • S. M. Shah
  • Joseph Wiener

Abstract

Functional differential equations of advanced type with piecewise constant argument deviations are studied. They are closely related to impulse, loaded and, especially, to difference equations, and have the structure of continuous dynamical systems within intervals of unit length.

Suggested Citation

  • S. M. Shah & Joseph Wiener, 1983. "Advanced differential equations with piecewise constant argument deviations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-33, January.
    • Handle: RePEc:hin:jijmms:958736
    DOI: 10.1155/S0161171283000599
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    Cited by:

    1. James Guyker, 2015. "Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-17, July.
    2. Hartung, Ferenc, 2022. "On numerical approximation of a delay differential equation with impulsive self-support condition," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    3. Assanova, Anar T. & Uteshova, Roza, 2022. "Solution of a nonlocal problem for hyperbolic equations with piecewise constant argument of generalized type," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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