Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations

Ozbekler, ABDULLAH; Zafer, A.

doi:10.1016/j.camwa.2010.12.041

Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations

Atıf İçin Kopyala

Ozbekler A., Zafer A.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.61, sa.4, ss.933-940, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 61 Sayı: 4
Basım Tarihi: 2011
Doi Numarası: 10.1016/j.camwa.2010.12.041
Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.933-940
Ankara Üniversitesi Adresli: Hayır

Özet

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.