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First Order Dynamic Inclusions

In: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales

Author

Listed:
  • Svetlin G. Georgiev

    (Sofia University St Kliment Ohridski, Faculty of Mathematics & Info)

Abstract

This chapter is devoted to a qualitative analysis of some classes of first order dynamic inclusions. They are investigated for existence of solutions of first order dynamic inclusions with local and nonlocal initial conditions, general boundary conditions, and periodic boundary conditions. Dual time scales are introduced and some of their basic properties are deducted. As their applications, the existence of solutions for some IVPs for first order dynamic inclusions is proved.

Suggested Citation

  • Svetlin G. Georgiev, 2021. "First Order Dynamic Inclusions," Springer Books, in: Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales, chapter 0, pages 435-514, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-76132-5_7
    DOI: 10.1007/978-3-030-76132-5_7
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