SOME INSTABILITY RESULTS ON CERTAIN THIRD ORDER NONLINEAR VECTOR DIFFERENTIAL EQUATIONS

被引：0

作者：

Tunc, Cemil ^{[1
]}

机构：

[1] Yuzuncu Yil Univ, Fac Arts & Sci, Dept Math, TR-65080 Van, Turkey

来源：

BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2007年 / 2卷 / 01期

关键词：

Nonlinear differential equations of third order; instability; Lyapunov's method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain some sufficient conditions under which the zero solution of a certain third order non-linear ordinary vector differential equation is unstable. Our results include and improve some well-known results exist in the literature.

引用

页码：109 / 122

页数：14

共 50 条

[41] Some New Oscillatory Behavior of Certain Third-Order Nonlinear Neutral Differential Equations of Mixed Type
Sathish Kumar M.
Janaki S.
Ganesan V.
International Journal of Applied and Computational Mathematics, 2018, 4 (2)
[42] NEW BOUNDEDNESS RESULTS FOR A KIND OF NONLINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER
Tunc, Cemil
Ayhan, Timur
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (03) : 477 - 484
[43] On the instability of solutions of some fifth order nonlinear delay differential equations
Tunc, Cemil
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2011, 5 (01): : 112 - 121
[44] Boundedness and stability in third order nonlinear vector differential equations with bounded delay
Oudjedi L.D.
Remili M.
Afrika Matematika, 2018, 29 (5-6) : 899 - 909
[45] On the Global Existence and Boundedness of Solutions of Nonlinear Vector Differential Equations of Third Order
Ayhan, Timur
Tunc, Cemil
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2016, 11 (01): : 152 - 161
[46] STABILITY OF SOLUTIONS FOR CERTAIN THIRD-ORDER NONLINEAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
A.M.A.Abou-El-Ela
A.I.Sadek
A.M.Mahmoud
E.S.Farghaly
Annals of Applied Mathematics, 2015, 31 (03) : 253 - 261
[47] Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping
Tiryaki, A.
Aktas, M. F.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 54 - 68
[48] STABILITY, BOUNDEDNESS AND ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS OF THE THIRD ORDER
Ademola, A. T.
Arawomo, P. O.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2011, 35 (03): : 431 - 445
[49] ON STABILITY OF SOLUTIONS OF CERTAIN DIFFERENTIAL EQUATIONS OF THIRD ORDER
LALLI, BS
CANADIAN MATHEMATICAL BULLETIN, 1967, 10 (05): : 681 - &
[50] BEHAVIOUR OF SOLUTIONS OF CERTAIN THIRD ORDER DIFFERENTIAL EQUATIONS
ZARGHAME.MS
MEHRI, B
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1971, 4 (DEC): : 271 - &

← 1 2 3 4 5 →