Oscillation criteria and growth of nonoscillatory solutions of even order ordinary and delay-differential equations

Author:
R. Grimmer

Journal:
Trans. Amer. Math. Soc. **198** (1974), 215-228

MSC:
Primary 34K15; Secondary 34C10

DOI:
https://doi.org/10.1090/S0002-9947-1974-0348227-0

MathSciNet review:
0348227

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Abstract: A number of results are presented on oscillation and growth of nonoscillatory solutions of the differential equation . It is shown that a nonoscillatory solution satisfies a first-order integral inequality while its st derivative satisfies a first-order differential inequality. By applying the comparison principle, results are obtained by analyzing the two associated first-order scalar differential equations. In the last section it is shown that these results can be easily extended to delay-differential equations.

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DOI:
https://doi.org/10.1090/S0002-9947-1974-0348227-0

Keywords:
Oscillation,
growth,
comparison method

Article copyright:
© Copyright 1974
American Mathematical Society