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Differential equations with state-dependent piecewise constant argument

✍ Scribed by M.U. Akhmet; C. Büyükadalı

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
492 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations-the existence and uniqueness of solutions, the existence of periodic solutions, and the stability of the zero solution-are obtained. Appropriate examples are constructed.

📜 SIMILAR VOLUMES

On Quasi-Periodic Solutions of Different
On Quasi-Periodic Solutions of Differential Equations with Piecewise Constant Argument
✍ Tassilo Küpper; Rong Yuan 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 150 KB

We study the existence of quasi-periodic solutions to differential equations with piecewise constant argument (EPCA, for short). It is shown that EPCA with periodic perturbations possess a quasi-periodic solution and no periodic solution. The appearance of quasi-periodic rather than periodic solutio