Research Article

ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION"

Volume: 5 Number: 1-2 May 6, 2015
EN TR

ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION"

Abstract

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. 

Keywords

References

  1. R. Bellman, and K. Cooke, Differential-Difference Equations. Academic Press, New York, (1963).
  2. 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.
  3. R.D. Driver, Exponential decay in some linear delay differential equations, JSTOR: American Mathematical Monthly: vol. 85, No.9, (1978) 757-760.
  4. R.D. Driver, Ordinary and Delay Differential Equations, Appl. Math. sciences 20, Springer, Berlin, 1977.
  5. 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.
  6. J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer, Berlin, Heidelberg, New York, 1993.
  7. G.D. Hu and T. Mitsui, Stability of numerical methods for system of neutral delay differential equations, BIT Numerical Mathematics, 35 (1995) 505-515.
  8. V. Kolmanovski, A. Myshkis, Applied Theory of Functional Differential Equations, Kluver Academic, Dordrecht, 1992.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

May 6, 2015

Submission Date

May 6, 2015

Acceptance Date

-

Published in Issue

Year 2012 Volume: 5 Number: 1-2

APA
Yeniçerioğlu, A. F., Yeniçerioğlu, A. F., & Demir, B. (2015). ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 5(1-2), 109-129. https://izlik.org/JA67EZ42UD
AMA
1.Yeniçerioğlu AF, Yeniçerioğlu AF, Demir B. ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". BUJSE. 2015;5(1-2):109-129. https://izlik.org/JA67EZ42UD
Chicago
Yeniçerioğlu, Ali Fuat, Ali Fuat Yeniçerioğlu, and Barış Demir. 2015. “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 5 (1-2): 109-29. https://izlik.org/JA67EZ42UD.
EndNote
Yeniçerioğlu AF, Yeniçerioğlu AF, Demir B (May 1, 2015) ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5 1-2 109–129.
IEEE
[1]A. F. Yeniçerioğlu, A. F. Yeniçerioğlu, and B. Demir, “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”, BUJSE, vol. 5, no. 1-2, pp. 109–129, May 2015, [Online]. Available: https://izlik.org/JA67EZ42UD
ISNAD
Yeniçerioğlu, Ali Fuat - Yeniçerioğlu, Ali Fuat - Demir, Barış. “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5/1-2 (May 1, 2015): 109-129. https://izlik.org/JA67EZ42UD.
JAMA
1.Yeniçerioğlu AF, Yeniçerioğlu AF, Demir B. ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". BUJSE. 2015;5:109–129.
MLA
Yeniçerioğlu, Ali Fuat, et al. “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 5, no. 1-2, May 2015, pp. 109-2, https://izlik.org/JA67EZ42UD.
Vancouver
1.Ali Fuat Yeniçerioğlu, Ali Fuat Yeniçerioğlu, Barış Demir. ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". BUJSE [Internet]. 2015 May 1;5(1-2):109-2. Available from: https://izlik.org/JA67EZ42UD