A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order | Zendy

Cemil Tunç | Zendy; Melike Karta | Zendy

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A New Instability Result to Nonlinear Vector Differential Equations of Fifth Order

Author(s) -

Cemil Tunç,

Melike Karta

Publication year - 2008

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2008/971534

Subject(s) - instability , scalar (mathematics) , mathematics , differential equation , nonlinear system , mathematical analysis , vector valued function , lyapunov function , first order partial differential equation , order (exchange) , physics , mechanics , geometry , finance , quantum mechanics , economics

By constructing a Lyapunov function, a new instability result is established,which guarantees that the trivial solution of a certain nonlinear vector differential equation ofthe fifth order is unstable. An example is also given to illustrate the importance of the resultobtained. By this way, our findings improve an instability result related to a scalar differentialequation in the literature to instability of the trivial solution to the afore-mentioned differentialequation

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