Oscillation criteria for a class of second-order neutral delay differential equations |
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Authors: | B. Karpuz, J.V. Manojlovi ,
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calan,Y. Shoukaku |
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Affiliation: | aUniversity of Kocatepe, ANS Campus, Faculty of Science and Arts, Department of Mathematics, 03200 Afyonkarahisar, Turkey;bUniversity of Nis, Faculty of Sciences and Mathematics, Department of Mathematics, Visegradska 33, 18000 Nis, Serbia;cFaculty of Engineering, Kanazawa University, Ishikawa 920-1192, Japan |
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Abstract: | In this article, we investigate oscillation and asymptotic behaviour of all solutions of a class of neutral delay differential equations of second-order with several positive and negative coefficients having the formwhere R,P,Q are bounded beginning segments of positive integers, , , are delay functions and f is a continuous function. Our results improve and extend the recent results given in the papers [J. Manojlović, Y. Shoukaku, T. Tanigawa, N. Yoshida, Oscillation criteria for second-order differential equations with positive and negative coefficients, Appl. Math. Comput. 181 (2006) 853–863] and [A. Weng, J. Sun, Oscillation of second order delay differential equations, Appl. Math. Comput. 198 (2) (2008) 930–935]. |
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Keywords: | Second-order neutral differential equations Oscillation Positive and negative coefficients |
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