Research Article

Ingtegral equations with delaying arguments for semi-Markovian processes

Volume: 5 Number: 3 July 1, 2017
EN

Ingtegral equations with delaying arguments for semi-Markovian processes

Abstract

In this paper, the Laplace transform of the distribution of the duration of a particular semi-Markovian random walk period is obtained in the form of the difference equation.

Keywords

References

  1. Borovkov, A. A. (1976). Stochastic Processes in Queueing Theory, Springer Verlag, New York.
  2. Busarov, V. A. (2004). On asymptotic behaviour of random wanderings in random medium with delaying screen, Vest. Mos. Gos. Univ., 1(5), 61-63.
  3. Feller, W. (1968). An Introduction to Probability Theory and Its Applications, Vol. I, Wiley, New York.
  4. Khaniev, T.A., Unver, I. (1997). The study of the level zero crossing time of a semi-Markovian random walk with delaying screen, Turkish J. Mathematics, 2(1), 257–268.
  5. Lotov, V. I. (1991a). On random walks in a band. Probability Theory and its Application, 36(1), 160-165.
  6. Lotov, V. I. (1991b). On the asymptotic of distributions in two-sided boundary problems for random walks defined on a markov chain, Sib. Adv. Math., 1(2), 26-51.
  7. Nasirova, . I. (1984). Processes of Semi-Markov Random Walk, ELM, Baku, 165p.
  8. Nasirova,. I., Ibayev, E. A., Aliyeva, T.A. (2005). The Laplace transformation of the distribution of the first moment reaching the positive delaying screen with the semi-Markovian process, Proc. Int. Conf. On Modern Problems and New Trends in Probability Theory, Chernivtsi, Ukraine, 19-26.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ulviyya Y. Karimova This is me
Azerbaijan

Tamilla İ. Nasirova This is me
Azerbaijan

Publication Date

July 1, 2017

Submission Date

January 5, 2017

Acceptance Date

May 19, 2017

Published in Issue

Year 1970 Volume: 5 Number: 3

APA
Maden, S., Karimova, U. Y., & Nasirova, T. İ. (2017). Ingtegral equations with delaying arguments for semi-Markovian processes. New Trends in Mathematical Sciences, 5(3), 162-167. https://izlik.org/JA96PS99DH
AMA
1.Maden S, Karimova UY, Nasirova Tİ. Ingtegral equations with delaying arguments for semi-Markovian processes. New Trends in Mathematical Sciences. 2017;5(3):162-167. https://izlik.org/JA96PS99DH
Chicago
Maden, Selahattin, Ulviyya Y. Karimova, and Tamilla İ. Nasirova. 2017. “Ingtegral Equations With Delaying Arguments for Semi-Markovian Processes”. New Trends in Mathematical Sciences 5 (3): 162-67. https://izlik.org/JA96PS99DH.
EndNote
Maden S, Karimova UY, Nasirova Tİ (July 1, 2017) Ingtegral equations with delaying arguments for semi-Markovian processes. New Trends in Mathematical Sciences 5 3 162–167.
IEEE
[1]S. Maden, U. Y. Karimova, and T. İ. Nasirova, “Ingtegral equations with delaying arguments for semi-Markovian processes”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 162–167, July 2017, [Online]. Available: https://izlik.org/JA96PS99DH
ISNAD
Maden, Selahattin - Karimova, Ulviyya Y. - Nasirova, Tamilla İ. “Ingtegral Equations With Delaying Arguments for Semi-Markovian Processes”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 162-167. https://izlik.org/JA96PS99DH.
JAMA
1.Maden S, Karimova UY, Nasirova Tİ. Ingtegral equations with delaying arguments for semi-Markovian processes. New Trends in Mathematical Sciences. 2017;5:162–167.
MLA
Maden, Selahattin, et al. “Ingtegral Equations With Delaying Arguments for Semi-Markovian Processes”. New Trends in Mathematical Sciences, vol. 5, no. 3, July 2017, pp. 162-7, https://izlik.org/JA96PS99DH.
Vancouver
1.Selahattin Maden, Ulviyya Y. Karimova, Tamilla İ. Nasirova. Ingtegral equations with delaying arguments for semi-Markovian processes. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):162-7. Available from: https://izlik.org/JA96PS99DH