Oscillation of strongly noncanonical equations
Authors
Blanka Baculikova
 Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, Slovakia.
Abstract
New oscillation criteria for third order noncanonical differential equations of the form
\[
\left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'+p(t)y(\tau(t))=0
\]
are established.
Our technique employs an equivalent canonical representation of the studied equation, which essentially simplifies the examination of noncanonical equations. The results obtained are supported by several illustrative examples.
Keywords
 Oscillation
 third order differential equations
 noncanonical operator
MSC
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