A Survey on the Oscillation of Difference Equations with Constant Delays
In this survey, necessary and sufficient conditions for the oscillation of all solutions of delay difference equations with one or several constant arguments, in terms of the characteristic equation, are presented. Explicit necessary and sufficient conditions (in terms of the constant coefficient...
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| Format: | Article |
| Language: | English |
| Published: |
Al-Farabi Kazakh National University
2019-07-01
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| Series: | Вестник КазНУ. Серия математика, механика, информатика |
| Subjects: | |
| Online Access: | https://bm.kaznu.kz/index.php/kaznu/article/view/633/491 |
| Summary: | In this survey, necessary and sufficient conditions for the oscillation of all solutions of delay
difference equations with one or several constant arguments, in terms of the characteristic equation,
are presented. Explicit necessary and sufficient conditions (in terms of the constant coefficient and
constant argument only) are also presented in the case of one constant argument. In the case of
several arguments explicit but sufficient conditions only are given. In this case the results are also
extended to equations with variable coefficients. |
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| ISSN: | 1563-0277 2617-4871 |