IJPAM: Volume 78, No. 7 (2012)
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF
SOLUTIONS OF SECOND ORDER NEUTRAL DELAY
DIFFERENTIAL EQUATIONS WITH ``MAXIMA''
SOLUTIONS OF SECOND ORDER NEUTRAL DELAY
DIFFERENTIAL EQUATIONS WITH ``MAXIMA''
E. Thandapani
, V. Ganesan
Ramanujan Institute for Advanced Study in Mathematics
University of Madras
Chennai, 600005, INDIA
Department of Mathematics
Periyar University
Salem, 636 011, INDIA



University of Madras
Chennai, 600005, INDIA

Periyar University
Salem, 636 011, INDIA
Abstract. The authors establish some new criteria for the oscillation and asymptotic behavior of all solutions of the equation.
where ,
,
,
,
is the ratio of odd positive integers, and
. Examples are included to illustrate the results.
Received: April 17, 2012
AMS Subject Classification: 34K11, 34K99
Key Words and Phrases: second order differential equations, maxima, oscillation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 7