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Sains Malaysiana 42(7)(2013):
999–1002
Instability to Nonlinear Vector Differential Equations of Fourth Order with Constant Delay
(Ketakstabilan Persamaan Pembeza Vektor Tak Linear Keempat dengan Tundaan Malar)
Cemİl Tunç*
Department of Mathematics, Faculty of Sciences, Yüzüncü Y?l University
65080, VanTurkey
Received: 11 May 2012/Accepted: 27 November 2012
ABSTRACT
We consider a vector nonlinear differential equation of fourth
order with a constant delay. We establish new sufficient conditions, which
guarantee the instability of the zero solution of that equation. An example is
given to illustrate the theoretical analysis made in this paper.
Keywords: Delay; fourth
order; instability; vector differential equation
ABSTRAK
Kami telah pertimbangkan persamaan pembeza vektor taklinear tertib keempat dengan tundaan malar. Kami tunjukkan keadaan mencukupi yang baru yang menjamin ketakstabilan penyelesaian sifar persamaan tersebut. Satu contoh diberikan untuk menunjukkan analisis teori yang dilakukan dalam kertas ini.
Kata kunci: Kestabilan; tundaan; persamaan pembeza vektor; tertib ke empat
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*Corresponding author; email: cemtunc@yahoo.com
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