Bounded oscillations under the effect of retardations for differential equations of arbitrary order
- 1 January 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 77 (1-2) , 129-136
- https://doi.org/10.1017/s0308210500018084
Abstract
This paper is concerned with the effect of the delays on the bounded solutions of the nth order n ≧ 1) differential equationSufficient conditions involving the retardations τJ(j = 1,2, …, m) which insure that every bounded solution of the considered equation is oscillatory are given. The results obtained generalise recent ones in [3 and 4].Keywords
This publication has 4 references indexed in Scilit:
- Oscillations of differential inequalities with retarded argumentsHiroshima Mathematical Journal, 1975
- Oscillation in first order nonlinear retarded argument differential equationsProceedings of the American Mathematical Society, 1973
- Oscillations of functional-differential equations generated by delaysJournal of Differential Equations, 1972
- OSCILLATIONS OF HIGHER-ORDER RETARDED DIFFERENTIAL EQUATIONS GENERATED BY THE RETARDED ARGUMENTPublished by Elsevier ,1972