NEW OSCILLATION CRITERIA FOR FOURTH ORDER NEUTRAL DYNAMIC EQUATIONS

TitleNEW OSCILLATION CRITERIA FOR FOURTH ORDER NEUTRAL DYNAMIC EQUATIONS
Publication TypeJournal Article
Year of Publication2016
AuthorsTRIPATHY, AK
Secondary TitleCommunications in Applied Analysis
Volume20
Issue1
Start Page13
Pagination12
Date Published01/2016
Type of Workscientific: mathematics
ISSN1083-2564
AMS34A10, 34K11, 39A99
Abstract

In this paper, the oscillation of a class of fourth order nonlinear neutral functional dynamic equations of the form

$$ \left(r(t)  (y(t) + p(t)y(\alpha(t)))^{\Delta^2}\right)^{\Delta^2} + q(t)f(y(\beta(t))) = 0 $$

is studied on an arbitrary time scale $T$, under the assumption
$$
\int\limits_{t_0}^{\infty} \frac{t}{r(t)} \Delta t = \infty, \quad t_0 > 0,
$$
for various ranges of $p(t)$.
URLhttp://www.acadsol.eu/en/articles/20/1/2.pdf
DOI10.12732/caa.v20i1.2
Short TitleFOURTH ORDER NEUTRAL DYNAMIC EQUATIONS
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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