One-dimensional semi-Markov evolutions with general Erlang sojourn times

Random Operators and Stochastic Equations

Volumn 13, Issue 4, 2005, Pages 399-405

  Pogorui, A A ^a   Rodríguez Dagnino, Ramón M ^a  

^a SCHOOL OF ENGINEERING AND SCIENCES   (Mexico)

Author keywords

Biwave equation; Erlang distributions; Random evolutions; Random velocities; Semi Markov processes; Telegrapher's equation

Indexed keywords

EID: 70449520832     PISSN: 09266364     EISSN: 1569397X     Source Type: Journal    
DOI: 10.1163/156939705775992420     Document Type: Article

References (12)

1. Kac, M. A stochastic model related to the telegrapher's equation. Rocky Mountain J. Math. 4, 497-509 (1974).
2. Orsingher, E. Hyperbolic equations arising in random models. Stoch. Proc. Appl. 21, 93-106 (1985).
3. n. Dokl. Acad. Nauka Ukrain. 1, 9-12 (1991). (in Russian).
4. Turbin, A.F. Mathematical model of Einstein, Wiener, Levy. Fractal Analysis and Related Fields 2, 47-60 (1998). (in Russian).
5. Di Crescenzo, A. On random motions with velocities alternating at Erlangdistributed random times. Adv. Appl. Prob. 33, 690-701 (2001). (Pubitemid 33038956)
6. Korolyuk, V.S. and Swishchuk, A.V. Semi-Markov Random Evolutions. Kluwer Academic Publishers (1995).
7. Korolyuk, V.S. and Korolyuk, V.V. Stochastic Models of Systems. Kluwer Academic Publishers (1999).
8. Korolyuk, V.S. and Turbin, A.F. Mathematical Foundations of the State Lumping of Large Systems. Kluwer Academic Publishers (1994).
9. Roman, O. V. Symmetry analysis of the multidimensional polywave equation. Nonlinear Mathematical Physics 3, 435-440 (1996).
10. Fushchych, W. I., Roman, O.V., and Zdanov, R. Z. Symmetry reduction and exact solutions of nonlinear biwave equations. Reports on Mathematical Physics 37, 267-281 (1996). (Pubitemid 126159885)
11. Koshlyakov N.S., Gliner E.B, Smirnov M.M. Partial Differential Equations of Mathematical Physics. Moscow, Vysshaya shkola (1970). (in Russian).
12. Farlow S.J. Partial Differential Equations. John Wiley and Sons (1982).