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Abstrakty
A vector functional differential equation of the fourth order with multiple deviating arguments is considered. New sufficient conditions are established to guarantee the instability of the zero solution of the equation to be considered. We give an example to illustrate the subject.
Czasopismo
Rocznik
Tom
Strony
189--198
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Department of Mathematics Faculty of Sciences Yuzuncu Yil University 65080, Van, Turkey
Bibliografia
- [1] Bellman R., Introduction to matrix analysis, Reprint of the second (1970) edition. With a foreword by Gene Golub. Classics in Applied Mathematics, 19. Society for Industrial and Applied Mathematics (placecountry-regionSIAM), CityplacePhiladelphia, StatePA, 1997.
- [2] Ezeilo J.O.C., An instability theorem for a certain fourth order differential equation, Bull. London Math. Soc., 10(2)(1978), 184-185.
- [3] Ezeilo J.O.C., Extension of certain instability theorems for some fourth and fifth order differential equations, Atti. Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Natur., (8)66(4)(1979), 239-242.
- [4] Ezeilo J.O.C., Further instability theorems for some fourth order differential equations, J. Nigerian Mathematical Society, 19(2000), 1-7.
- [5] Krasoyskii N.N., On conditions of inversion of A. M. Lyapunov’s theorems on instability for stationary systems of differential equations (Russian), Dokl. Akad. Nauk. SSSR (N.S.), 101(1955), 17-20.
- [6] Sadek A.I., Instability results for certain systems of fourth and fifth order differential equations, Appl. Math. Comput., 145(2-3)(2003), 541-549.
- [7] Sun W.J., Hou X, New results about instability of some fourth and fifth order nonlinear systems (Chinese), J. Xinjiang Univ. Natur. Sci., 16(4)(1999), 14-17.
- [8] Tunç C., An instability theorem for a certain vector differential equation of the fourth order, J. Inequal. Pure Appl. Math., 5(1)(2004), 1-5.
- [9] Tunç C., A further instability result for a certain vector differential equation of fourth order, Int. J. Math. Game Theory Algebra, 15(5)(2006), 489-495.
- [10] Tunç C., Instability of solutions for certain nonlinear vector differential equations of fourth order, Nonlinear Oscil. (N. Y.), 12(1)(2009), 120-129.
- [11] Tunç C., On the instability of the solutions of some nonlinear vector differential equations of fourth order, Miskolc Math. Notes, 11(2)(2010), 191-200.
- [12] Tunç C., Recent advances on instability of solutions of fourth and fifth order delay differential equations with some open problems, World Scientific Review, Vol. 9, World Scientific Series on Nonlinear Science Series B (Book Series), (2011), 105-116.
- [13] Tunç C., On the instability of solutions of nonlinear delay differential equations of fourth and fifth order, Sains Malaysiana, 40(12)(2011), 1455-1459.
- [14] Tunç C., On the instability of solutions of a nonlinear vector differential equation of fourth order, Ann. Differential Equations, 27(4)(2011), 418-421.
- [15] Tunç C., Instability for nonlinear differential equations of fifth order subject to delay, Nonlinear Dyn. Syst. Theory, 12(2)(2012), 207-214.
- [16] Tunç C., Instability to nonlinear vector differential equations of fourth order with constant delay, Sains Malaysiana, 42(7)(2013).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6d9fd0b3-0c51-4d2e-9d01-447bae2448e5