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Oscillation and asymptotic behavior of second-order nonlinear difference equations

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Języki publikacji
EN
Abstrakty
EN
In this paper we will study the oscillatory and asymptotic behavior of solutions of second-order nonlinear difference equation formula where y > 0 is a quotient of odd positive integers.
Słowa kluczowe
Rocznik
Tom
Strony
39--54
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
autor
  • Mathematices Department, Faculty of Science, Monsoura University, Mansoura, 35516, Egypt
Bibliografia
  • [1] R.P. Agarwal, Difference Equations and Inequalities, Theory, Methods and Applications, Second Edition, Marcel Dekker, New York, 2000.
  • [2] R.P. Agarwal, P.J.Y. Wong, Advanced Topics in Difference Equations, Kluwer Academic Publishers, 1997.
  • [3] R. Arul, E. Thandapani, Asymptotic behavior of positive solutions of second order quasilinear difference equations, Kyungpook Math. J., 40 (2000), 275-486.
  • [4] G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities, 2nd Ed. Cambridge Univ. Press 1952.
  • [5] H.L. Hong, W.C. Lian, C.C. Yeh, The oscillation of half-linear differential equations with oscillatory coefficients, Mathl. Com. Modelling, 24 (1996), 77-86.
  • [6] H.B. Hsu, C.C. Yeh, Oscillation theorems for second-order half-linear differential equations, Appl. Math. Lett., 9 (1996), 71-77.
  • [7] T. Kusano, O. Akio, Existence and asymptotic behavior of positive solutions of second order quasilinear differential equations, Funk. Ekva. , 37 (1994), 345-361.
  • [8] Ch.G. Philos, Oscillation theorems for linear differential equation of second order, Arch. Math., 53 (1989), 483-492.
  • [9] E. Thandapani, J.R. Greaf, P.W. Spikes, On the oscillation of solutions of second order quasilinear difference equations, Nonlin. World., 3 (1996), 545-565.
  • [10] E. Thandapani, M.M.S. Mannuel, R.P. Agarwal, Oscillation and nonoscillation theorems for second order quasilinear difference equations, Facta. Univ. Series, Math. Inform., 11 (1996), 49-65.
  • [11] E. Thandapani, R. Arul, Oscillation and nonoscillation theorems for a class of second order quasilinear difference equations, ZAA., 16 (1997), 749-759.
  • [12] E. Thandapani, R. Arul, Oscillation theory for a class of second order quasilinear difference equations, Tamaking J. Math., 28 (1997), 229-238.
  • [13] P.J.Y. Wong, R.P. Agarwal, Oscillation and monotone solutions of second order quasilinear difference equations, Fankcialaj Ekvacioj, 39 (1996), 491-517.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0042-0004
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