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Oscillation theorems for fourth order functional differential equations

Authors :
Said R. Grace
John R. Graef
Ravi P. Agarwal
Source :
Journal of Applied Mathematics and Computing. 30:75-88
Publication Year :
2008
Publisher :
Springer Science and Business Media LLC, 2008.

Abstract

The authors investigate the oscillatory behavior of all solutions of the fourth order functional differential equations $\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})+q(t)f(x[g(t)])=0$ and $\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})=q(t)f(x[g(t)])+p(t)h(x[\sigma(t)])$ in the case where ∫ ∞ a −1/α (s)ds

Details

ISSN :
18652085 and 15985865
Volume :
30
Database :
OpenAIRE
Journal :
Journal of Applied Mathematics and Computing
Accession number :
edsair.doi...........c73f85fa65424036f7aaa873d3c3ad68
Full Text :
https://doi.org/10.1007/s12190-008-0158-9