Stability of oscillatory solutions of differential equations with general piecewise constant arguments of mixed type |
| |
| Authors: | Kuo‐Shou Chiu Jyh‐Cheng Jeng |
| |
| Institution: | 1. Departamento de Matemática, Facultad de Ciencias Básicas, Universidad Metropolitana de Ciencias de la Educación, Santiago, Chile;2. +886 2 2771 2171;3. Department of Chemical Engineering and Biotechnology, National Taipei University of Technology, Taipei, Taiwan |
| |
| Abstract: | We examine scalar differential equations with general piecewise constant arguments of mixed type, in short DEPCAG of mixed type, that is, the arguments are general step functions. Criteria of existence of the oscillatory and nonoscillatory solutions of such equations are proposed. Necessary and sufficient conditions for stability of the zero solution are obtained. Our results are new, extend and improve earlier publications. Several numerical examples and simulations are also given to show the feasibility of our results. |
| |
| Keywords: | Piecewise constant argument of mixed type oscillation stability of solutions hybrid equations 34A36 34K11 34K20 35M10 |
|
|
