Oscillation, continuation, and uniqueness of solutions of retarded differential equations
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- by T. Burton and R. Grimmer
- Trans. Amer. Math. Soc. 179 (1973), 193-209
- DOI: https://doi.org/10.1090/S0002-9947-1973-0324171-9
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Erratum: Trans. Amer. Math. Soc. 187 (1974), 429.
Abstract:
In this paper we present a number of results on continuation and uniqueńess of solutions of the n-dimensional system $x’(t) = f(t,x(t)) + g(t,x(t - \tau (t)))$ for $\tau (t) \geq 0$. We then give some necessary, some sufficient, and some necessary and sufficient conditions for oscillation of solutions of the second order equation $x'' + a(t)f(x(t - \tau (t))) = 0$.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 179 (1973), 193-209
- MSC: Primary 34K15
- DOI: https://doi.org/10.1090/S0002-9947-1973-0324171-9
- MathSciNet review: 0324171