Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations
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Date
2011
Authors
Özbekler, Abdullah
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Publisher
Pergamon-elsevier Science Ltd
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Abstract
New oscillation criteria are obtained for second order forced mixed nonlinear impulsive differential equations of the form (r(t)Phi(alpha)(x'))' + q(t)(Phi)(x) + Sigma(n)(k=1)q(k)(t)Phi beta(k)(x ) = e(t), t not equal theta(I) x(theta(+)(i)) = ajx(theta(+)(i)) = b(i)x'(theta(i)) where Phi(gamma):= ,s vertical bar(gamma-1)s and beta(1) > beta(2) > ... > beta(m) > alpha > beta(m+1)> ... > beta(n) > beta(n) > 0. If alpha = 1 and the impulses are dropped, then the results obtained by Sun and Wong [Y.G. Sun, J.S.W. Wong, Oscillation criteria for second order forced ordinary differential equations with mixed nonlinearities, J. Math. Anal. Appl. 334 (2007) 549-560] are recovered. Examples are given to illustrate the results. (C) 2011 Elsevier Ltd. All rights reserved.
Description
Zafer, Agacik/0000-0001-8446-1223; Ozbekler, Abdullah/0000-0001-5196-4078
Keywords
Forced equation, Mixed nonlinear, Interval criteria, Oscillation, Impulse
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Citation
27
WoS Q
Q1
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Source
Volume
61
Issue
4
Start Page
933
End Page
940