Oscillation of first-order nonlinear differential equations with deviating arguments

Authors:
Yuichi Kitamura and Takaŝi Kusano

Journal:
Proc. Amer. Math. Soc. **78** (1980), 64-68

MSC:
Primary 34K15; Secondary 34K25

DOI:
https://doi.org/10.1090/S0002-9939-1980-0548086-5

MathSciNet review:
548086

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper is devoted to the study of the oscillatory behavior of solutions of the first-order nonlinear functional differential equations

First, without assuming that the deviating arguments , are retarded or advanced, sufficient conditions are established for all solutions of (A) and (B) to be oscillatory.

Secondly, a characterization of oscillation of all solutions is obtained for equation (A) with and , as well as for equation (B) with and .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1980-0548086-5

Keywords:
First-order differential equation,
nonlinear differential equation,
deviating argument,
oscillatory solution,
oscillation

Article copyright:
© Copyright 1980
American Mathematical Society