There are occasions when a linear autonomous functional differential equation of mixed type can be reduced to a neutral or retarded equation. A necessary condition for such reducibility is shown to be that the set of solutions of the characteristic equation is bounded on the right in the complex pla
Nonoscillation for Functional Differential Equations of Mixed Type
β Scribed by Tibor Krisztin
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 149 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
New oscillation and nonoscillation theorems are obtained for the second order Ε½ . Ε½ . w . Ε½. linear differential equation uΠ q p t u s 0, where p t g C 0, Ο± and p t G 0. Ε½ . w n n q 1 xΕ½ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )
## Abstract In this paper we apply quarkonial decomposition to the ordinary differential equation of delay type __f__ β²(__x__) = __f__ (__x__ β 1), __x__ β₯ 1. We shall derive an explicit formula in terms of the quarkonial decomposition. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)