Oscillatory and Nonoscillatory Delay Equations with Piecewise Constant Argument
We introduce a new technique to analyze certain difference equations to obtain some new type and also “best possible” oscillation and nonoscillation criteria for the nonautonomous delay differential equation with piecewise constant argument of the form y′(t)+a(t)y(t)+b(t)y([t−1])=0, where a(t) and b...
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| Veröffentlicht in: | Journal of mathematical analysis and applications 2000-08, Vol.248 (2), p.385-401 |
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| container_end_page | 401 |
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| container_issue | 2 |
| container_start_page | 385 |
| container_title | Journal of mathematical analysis and applications |
| container_volume | 248 |
| creator | Shen, J.H. Stavroulakis, I.P. |
| description | We introduce a new technique to analyze certain difference equations to obtain some new type and also “best possible” oscillation and nonoscillation criteria for the nonautonomous delay differential equation with piecewise constant argument of the form y′(t)+a(t)y(t)+b(t)y([t−1])=0, where a(t) and b(t) are continuous functions on [−1,∞), b(t)≥0, and [·] denotes the greatest integer function. |
| doi_str_mv | 10.1006/jmaa.2000.6908 |
| format | Article |
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| ispartof | Journal of mathematical analysis and applications, 2000-08, Vol.248 (2), p.385-401 |
| issn | 0022-247X 1096-0813 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Difference and functional equations, recurrence relations differential equation Exact sciences and technology Finite differences and functional equations Mathematical analysis Mathematics nonoscillation Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations oscillation piecewise constant argument Sciences and techniques of general use |
| title | Oscillatory and Nonoscillatory Delay Equations with Piecewise Constant Argument |
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