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Some oscillation criteria for second order nonlinear functional ordinary differential equations
Faculty
Science
Year:
2007
Type of Publication:
Article
Pages:
602-610
Authors:
Zayed, E. M. E, Ei-Moneam, M. A
DOI:
10.1016/S0252-9602(07)60059-9
Journal:
ACTA MATHEMATICA SCIENTIA SPRINGER
Volume:
27
Research Area:
Mathematics
ISSN
ISI:000248367000015
Keywords :
oscillatory and nonoscillatory solutions, nonlinear functional differential equations
Abstract:
The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations (a(t)x'(t))' + delta(1)p(t) + delta(2)q(t)f(x(g(t))) =0, for 0 <= t(0) <= t, where delta(1) = +/- 1 and delta(2) = +/- 1. The functions p,q,g : {[}t(0),infinity) -> R, f : R -> R are continuous, a(t) > 0, p(t) >= 0, q(t) >= 0 for t >= t(0), lim g(t) = infinity, and q is not identically zero on any subinterval of {[}t(0), infinity). Moreover, the functions q(t), g(t), and a(t) are continuously differentiable.
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