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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
Diserahkan: 11 Mei 2012/Diterima: 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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fourth and fifth order delay differential equations with some open problems. World
Scientific Review, World Scientific Series on Nonlinear Science Series B (Book
Series) 9: 105-116.
Tunç, C. 2011b. On the instability of
solutions of nonlinear delay differential equations of fourth and fifth order. Sains Malaysiana 40(12): 1455-1459.
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solutions of a nonlinear vector differential equation of fourth order. Ann. Differential Equations 27(4): 418-421.
*Pengarang untuk surat-menyurat; email: cemtunc@yahoo.com
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