TY  - JOUR
T1  - Ingtegral equations with delaying arguments for semi-Markovian processes
AU  - Maden, Selahattin
AU  - Karimova, Ulviyya Y.
AU  - Nasirova, Tamilla İ.
PY  - 2017
DA  - July
JF  - New Trends in Mathematical Sciences
PB  - Mustafa BAYRAM
WT  - DergiPark
SN  - 2147-5520
SP  - 162
EP  - 167
VL  - 5
IS  - 3
LA  - en
AB  - 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.
KW  - Laplace transforms
KW  - semi-Markovian random process
KW  - random variable
KW  - process with positive tendency and negative jumps
CR  - Borovkov, A. A. (1976). Stochastic Processes in Queueing Theory, Springer Verlag, New York.
CR  - Busarov, V. A. (2004). On asymptotic behaviour of random wanderings in random medium with delaying screen, Vest. Mos. Gos.
Univ., 1(5), 61-63.
CR  - Feller, W. (1968). An Introduction to Probability Theory and Its Applications, Vol. I, Wiley, New York.
CR  - 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.
CR  - Lotov, V. I. (1991a). On random walks in a band. Probability Theory and its Application, 36(1), 160-165.
CR  - 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.
CR  - Nasirova, . I. (1984). Processes of Semi-Markov Random Walk, ELM, Baku, 165p.
CR  - 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.
CR  - Nasirova, I., Omarova, K. K. (2007). Distribution of the lower boundary functional of the step process of semi-Markov random
walk with delaying screen at zero, Automatic Control and Computer Sciences, 59(7), 1010-1018.
CR  - Omarova, K. K., Bakhshiev, Sh. B. (2010). The Laplace transform for the distribution of the lower bound functional in a semi-
Markov walk process with a delay screen at zero, Automatic Control and Computer Sciences, 44(4), 246–252.
CR  - Unver, I., Tundzh, Ya. S., Ibaev, E. (2014). Laplace–Stieltjes transform of distribution of the first moment of crossing the level
a(a > 0) by a semi-Markovian random walk with positive drift and negative jmps, Automatic Control and Computer Sciences,
48(3), 144–149.
UR  - https://dergipark.org.tr/en/pub/ntims/article/545908
L1  - https://dergipark.org.tr/en/download/article-file/681984
ER  -