Further Results on the Instability of Solutions of Certain Nonlinear Vector Differential Equations of Fifth Order

被引：0

作者：

Tunc, C. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2008年 / 2卷 / 01期

关键词：

Instability; Lyapunov's second (or direct) method; nonlinear differential equations of fifth order;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using Lyapunov's second method [13], some new results are established, which insure that the zero solution of non-linear vector differential equations of the form X((5)) + Psi((X) over dot, (X) doubt over dot) (X)triple over dot> + Phi(X, (X) over dot, (X) doubtle over dotm (X) triple over dot, X((4))) + Theta((X) over dot) + F(X) = 0 is unstable.

引用

页码：51 / 60

页数：10

共 36 条

[11]

LIAO ZH, 1988, APPL MATH MECH ENGLI, P969

[12]

LU D, 1993, APPL MATH MECH ENGLI, P481

[13]

LU D, 1995, APPL MATH MECH ENGLI, P1185

[14]

Lyapunov A., 1966, Stability of Motion

[15]

Mirsky L., 1990, An Introduction to Linear Algebra

[16] Asymptotic behavior of a third-order nonlinear differential equation [J].

Qian, CX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 284 (01) :191-205

[17]

Sadek A. I., 2003, ANN DIFFERENTIAL EQU, V19, P1

[18] Instability results for certain systems of fourth and fifth order differential equations [J].

Sadek, AI .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :541-549

[19] INSTABILITY RESULTS FOR 4TH ORDER DIFFERENTIAL-EQUATIONS [J].

SKRAPEK, WA .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1980, 85 :247-250

[20] SOME INSTABILITY THEOREMS FOR 3RD ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].

SKRAPEK, WA .

MATHEMATISCHE NACHRICHTEN, 1980, 96 :113-117

← 1 2 3 4 →