OSCILLATION CRITERIA FOR A CLASS OF
SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
Bülent Ayanlar
Department of Mathematics and Computer Science
Faculty of Science and Letters
Istanbul Arel University
Tepekent-Büyükçekmece, 34537, Istanbul, TURKEY
Abstract. By using the classical variational principle and averaging technique, several oscillation criteria are established for nonlinear second-order equations of the form
( r(t) | u'|p-2u' )' + g(t,u,u')u' + a(t)f(u) = e(t),
where p>1 is a real constant.
AMS Subject classification: 34C10
Keywords and phrases: differential equations, second order, averaging technique, oscillation


Download full article from here (pdf format).

DOI: 10.12732/ijam.v28i2.7

Volume: 28
Issue: 2
Year: 2015