ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION"
Öz
On the stability of second order neutral delay differential equation;
In this paper, a basic theorem on the behavior of solutions of linear
second order neutral delay differential equation is established. As
a consequence of this theorem, a stability criterion is obtained.
Anahtar Kelimeler
Kaynakça
- R. Bellman, and K. Cooke, Differential-Difference Equations. Academic Press, New York, (1963).
- B. Cahlon and D. Schmidt, Stability criteria for certain secondorder delay differential equations with mixed coefficients, Journal of Computational and Applied Mathematics, 170 (2004) 79-102.
- R.D. Driver, Exponential decay in some linear delay differential equations, JSTOR: American Mathematical Monthly: vol. 85, No.9, (1978) 757-760.
- R.D. Driver, Ordinary and Delay Differential Equations, Appl. Math. sciences 20, Springer, Berlin, 1977.
- El'sgol'ts L.E. and Norkin S.B., Introduction to the Theory and Application of Differential Equations with Deviating Arguments, Academic Pres, New York, London, 1973.
- J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer, Berlin, Heidelberg, New York, 1993.
- G.D. Hu and T. Mitsui, Stability of numerical methods for system of neutral delay differential equations, BIT Numerical Mathematics, 35 (1995) 505-515.
- V. Kolmanovski, A. Myshkis, Applied Theory of Functional Differential Equations, Kluver Academic, Dordrecht, 1992.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
6 Mayıs 2015
Gönderilme Tarihi
6 Mayıs 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2012 Cilt: 5 Sayı: 1-2
