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

Yıl 2012, Cilt: 5 Sayı: 1-2, 109 - 129, 06.05.2015

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. 

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.
  • I.-G.E. Kordonis and Ch.G. Philos, The Behavior of solutions of linear integro-differential equations with unbounded delay, Computers & Mathematics with Applications, 38 (1999) 45-50.
  • N. Macdonald, Biological Delay Systems: Linear Stability Theory, Cambridge University Pres, Cambridge, New York, 1989.
  • Ch.G. Philos and I.K. Purnaras, Periodic first order linear neutral delay differential equathons, Applied Mathematics and Computation,117 (2001) 203-222.
  • C.R. Steele, Studies of the ear, Lectures in Applied Mathematics, Vol.17, American Mathematical Society, RI, 1979, pp. 69-71.
  • S.A. Tobias, Machine Tool Vibrations, Blackie, London, 1965.
  • S. Yal9inba§, F. Yeni9erioglu, Exact and Approximate Solutions of Second Order Including Function Delay Differential Equations with Variable Coefficients, Applied Mathematics and Computation, vol:148, (2004), 287-298.

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

Yıl 2012, Cilt: 5 Sayı: 1-2, 109 - 129, 06.05.2015

Öz

İkinci mertebeden neutral delay diferansiyel denklemlerin
kararlılığı: Bu makalede sabit katsayılı doğrusal ikinci mertebeden
neutral delay diferansiyel denklemlerin davranışları üzerinde temel
bir teorem verilmiştir. Bu teoremin sonuçlarından yararlanarak
kararlılık kriterleri elde edilmiştir.

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.
  • I.-G.E. Kordonis and Ch.G. Philos, The Behavior of solutions of linear integro-differential equations with unbounded delay, Computers & Mathematics with Applications, 38 (1999) 45-50.
  • N. Macdonald, Biological Delay Systems: Linear Stability Theory, Cambridge University Pres, Cambridge, New York, 1989.
  • Ch.G. Philos and I.K. Purnaras, Periodic first order linear neutral delay differential equathons, Applied Mathematics and Computation,117 (2001) 203-222.
  • C.R. Steele, Studies of the ear, Lectures in Applied Mathematics, Vol.17, American Mathematical Society, RI, 1979, pp. 69-71.
  • S.A. Tobias, Machine Tool Vibrations, Blackie, London, 1965.
  • S. Yal9inba§, F. Yeni9erioglu, Exact and Approximate Solutions of Second Order Including Function Delay Differential Equations with Variable Coefficients, Applied Mathematics and Computation, vol:148, (2004), 287-298.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Ali Fuat Yeniçerioğlu

Ali Fuat Yeniçerioğlu

Barış Demir Bu kişi benim

Yayımlanma Tarihi 6 Mayıs 2015
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 1-2

Kaynak Göster

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.
AMA Yeniçerioğlu AF, Yeniçerioğlu AF, Demir B. ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". BUJSE. Mayıs 2015;5(1-2):109-129.
Chicago Yeniçerioğlu, Ali Fuat, Ali Fuat Yeniçerioğlu, ve Barış Demir. “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 5, sy. 1-2 (Mayıs 2015): 109-29.
EndNote Yeniçerioğlu AF, Yeniçerioğlu AF, Demir B (01 Mayıs 2015) ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5 1-2 109–129.
IEEE A. F. Yeniçerioğlu, A. F. Yeniçerioğlu, ve B. Demir, “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”, BUJSE, c. 5, sy. 1-2, ss. 109–129, 2015.
ISNAD Yeniçerioğlu, Ali Fuat vd. “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5/1-2 (Mayıs 2015), 109-129.
JAMA 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 vd. “ON THE STABILITY OF SECOND ORDER ‘NEUTRAL DELAY DIFFERANTIAL EQUATION’”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 5, sy. 1-2, 2015, ss. 109-2.
Vancouver Yeniçerioğlu AF, Yeniçerioğlu AF, Demir B. ON THE STABILITY OF SECOND ORDER "NEUTRAL DELAY DIFFERANTIAL EQUATION". BUJSE. 2015;5(1-2):109-2.