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Stability in first order delay integro-differential equations

Cilt: 22 Sayı: 2 10 Nisan 2020
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Stability in first order delay integro-differential equations

Öz

In this study, some results are given concerning the behavior of the solutions for linear delay integro-differential equations. These results are obtained by the use of two distinct real roots of the corresponding characteristic equation.

Anahtar Kelimeler

Kaynakça

  1. Appleby, J.A.D. and Reynolds, D.W., On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro – differential equations, Journal of Integral Equations and Applications, 14, 2, (2002).
  2. Funakubo, M., Hara, T. and Sakata, S., On the uniform asymptotic stability for a linear integro-differential equation of Volterra type, Journal of Mathematical Analysis and Applications, 324, 1036–1049, (2006).
  3. Gopalsamy, K., Stability and decay rates in a class of linear integro-differential systems, Funkcialaj Ekvacioj, 26, 251-261, (1983).
  4. Kordonis, I.-G.E. and Philos, Ch.G., The behavior of solutions of linear integro- differential equations with unbounded delay, Computers & Mathematics with Applications, 38, 45-50, (1999).
  5. Koto, T., Stability of Runge - Kutta methods for delay integro – differential equations, Journal of Computational and Applied Mathematics, 145, 483-492, (2002).
  6. Volterra, V., Sur la théorie mathématique des phénoménes héréditaires, Journal de Mathématiques Pures et Appliquées, 7(9), 249-298, (1928).
  7. Philos, Ch.G. and Purnaras, I.K., Asymptoti properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations, Electronic Journal of Differential Equations, 2004, 03, 1-17, (2004).
  8. Philos, Ch. G. and Purnaras, I. K., A result on the behavior of the solutions for scalar first order linear autonomous neutral delay differential equations, Mathematical Proceedings of the Cambridge Philosophical Society, 140, 349-358, (2006).

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

10 Nisan 2020

Gönderilme Tarihi

15 Ocak 2020

Kabul Tarihi

16 Mayıs 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 22 Sayı: 2

Kaynak Göster

APA
Yeniçerioğlu, A. F., & Yazıcı, C. (2020). Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 660-668. https://doi.org/10.25092/baunfbed.744661
AMA
1.Yeniçerioğlu AF, Yazıcı C. Stability in first order delay integro-differential equations. BAUN Fen. Bil. Enst. Dergisi. 2020;22(2):660-668. doi:10.25092/baunfbed.744661
Chicago
Yeniçerioğlu, Ali Fuat, ve Cüneyt Yazıcı. 2020. “Stability in first order delay integro-differential equations”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (2): 660-68. https://doi.org/10.25092/baunfbed.744661.
EndNote
Yeniçerioğlu AF, Yazıcı C (01 Nisan 2020) Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 2 660–668.
IEEE
[1]A. F. Yeniçerioğlu ve C. Yazıcı, “Stability in first order delay integro-differential equations”, BAUN Fen. Bil. Enst. Dergisi, c. 22, sy 2, ss. 660–668, Nis. 2020, doi: 10.25092/baunfbed.744661.
ISNAD
Yeniçerioğlu, Ali Fuat - Yazıcı, Cüneyt. “Stability in first order delay integro-differential equations”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (01 Nisan 2020): 660-668. https://doi.org/10.25092/baunfbed.744661.
JAMA
1.Yeniçerioğlu AF, Yazıcı C. Stability in first order delay integro-differential equations. BAUN Fen. Bil. Enst. Dergisi. 2020;22:660–668.
MLA
Yeniçerioğlu, Ali Fuat, ve Cüneyt Yazıcı. “Stability in first order delay integro-differential equations”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, sy 2, Nisan 2020, ss. 660-8, doi:10.25092/baunfbed.744661.
Vancouver
1.Ali Fuat Yeniçerioğlu, Cüneyt Yazıcı. Stability in first order delay integro-differential equations. BAUN Fen. Bil. Enst. Dergisi. 01 Nisan 2020;22(2):660-8. doi:10.25092/baunfbed.744661