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Abstrakty
A new sufficient conditions for the oscillation of all solutions of higher order neutral delay differential equations with positive and negative coefficients are given. Because, we did not find a paper which gave conditions to guarantee the existence of oscillatory solutions for those equations with positive and negative coefficients. The main distinguishing feature of results is oscillation theorems for all solutions of those homogeneous or nonhomogeneous neutral equations are derived. These oscillation criteria extend and improve the results given in the recent papers.
Czasopismo
Rocznik
Tom
Strony
121--140
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
- Faculty of Engineering Kanazawa University Kanazawa 920-1192, Japan, shoukaku@se.kanazawa-u.ac.jp
Bibliografia
- [1] AGARWAL R.P., GRACE S.R., O’REGAN D., Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, 2000.
- [2] Ahmad F., Linear delay differential equations with a positive and a negative term, Electronic J. Diff. Equ., 2003(2003), 1-6.
- [3] Berezansky L., Braverman E., Oscillation for equations with positive and negative coefficients and with distributed delay I: General Results, Electronic J. Diff. Equ., 2003(2003), 1-21.
- [4] Chuanxi Q., Ladas G., Oscillation in differential equations with positive and negative coefficients, Canad. Math. Bull., 33(1990), 442-450.
- [5] Chuanxi Q., Ladas G., Linearized oscillations for equations with positive and negative coefficients, Hiroshima Math. J., 20(1990), 331-340.
- [6] Kulenović M.R., Hadžiomersphaic S., Existence of nonoscillatory solution of second order linear neutral delay equation, J. Math. Anal. Appl., 228(1998), 436-448.
- [7] Kurpuz B., Manojlovic, Öcalan Ö., Shoukaku Y., Oscillation criteria for a class of second order neutral delay differential equations, Appl. Math.Comput., 210(2009), 303-312.
- [8] Kurpuz B., Narayan L., Rath R., Oscillation and asymptotic behavior of a higher order neutral differential equation with positive and negative coefficients, Electonic J. Diff. Equ., 2008(2008), 1-15.
- [9] Ladde G.S., Lakshmikantham V., Zhang B.G., Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker INC., New York, 1987.
- [10] Manojlović J., Shoukaku Y., Tanigawa T., Yoshida N., Oscillation criteria for second order differential equations with positive and negative coefficients, Appl. Math. Comput., 181(2006), 853-863.
- [11] ÖCALAN Ö., Oscillation of neutral differential equation with positive and negative coefficients, J. Math. Anal. Appl., 331(2007), 644-654.
- [12] Padhi S., Oscillation and asymptotic behavior of solutions of second order neutral differential equations with positive and negative coefficients, Fasc. Math., 38(2007), 105-114.
- [13] Padhi S., Oscillation and asymptotic behavior of solutions off second order homogeneous neutral differential equations with positive and negative coefficients, Funct. Differ. Equ., 14(2007), 363-371.
- [14] Parhi N., Chand S., Oscillation of second order neutral delay differential equations with positive and negative coefficients, J. Ind. Math. Soc., 66(1999), 227-235.
- [15] Parhi N., Chand S., On second order neutral delay differential equations with positive and negative coefficients, Bull. Cal. Math. Soc., 94(2002), 7-16.
- [16] Rath R.N., Mishra P.P., Padhy L.N., On oscillation and asymptotic behavior of a neutral differential equation of first order with positive and negative coefficients, Electronic J. Diff. Equ, 2007(2007), 1-7.
- [17] Weng A., Sun J., Oscillation of second order delay differential equations, Appl. Math. Comput., 198(2007), 930-935.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-89cead8f-d7ab-423b-829d-80590e8e9585