The finding method is debvetopend for the moment functions of the solutions of the differential equations with the stochastic coefficients. The inverse variational calculus problem is solved for the ordinary differential equations and for the second order partial differential equations.
Biography
Graduated from Faculty of Mechanics and Mathematics of Voronezh State University in 1965. Ph. D. thesis was defended in 1970. D. Sci. thesis was defended in 1992. A list of my works contains more than 100 titles.
The academician of Academia of Nonlinear Science.
Main publications:
Zadorozhnii V. G., Metody variatsionnogo analiza, NITs <<Regulyarnaya i khaoticheskaya dinamika>>, M.–Izhevsk, 2006, 316 s.
Zadorozhnii V. G., Differentsialnye uravneniya s variatsionnymi proizvodnymi, VorGU, Voronezh, 2000
Zadorozhnii V. G., “Momentnye funktsii resheniya zadachi Koshi dlya uravneniya perenosa s diffuziei i sluchainymi koeffitsientami”, Dokl. RAN, 377:5 (2001), 588–590
Zadorozhnii V. G., “Differentsialnoe uravnenie v banakhovom prostranstve, soderzhaschee variatsionnuyu proizvodnuyu”, Sib. matem. zhurn., 33:2 (1992), 80–93
V. G. Zadorozhny, A. S. Chebotarev, E. E. Dikarev, “Lanchester's stochastic model of battle actions”, Matem. Mod., 33:5 (2021), 57–77; Math. Models Comput. Simul., 13:6 (2021), 1122–1137
4.
V. G. Zadorozhniy, “The expectation of a solution of a linear system of differential equations with random coefficients”, Teor. Veroyatnost. i Primenen., 66:2 (2021), 284–304; Theory Probab. Appl., 66:2 (2021), 228–244
V. G. Zadorozhniy, M. E. Semenov, N. I. Sel'vesyuk, I. I. Ulshin, V. S. Nozhkin, “Statistical characteristics of solutions of the system of the stochastic transfer model”, Matem. Mod., 32:5 (2020), 21–43; Math. Models Comput. Simul., 13:1 (2021), 11–25
V. G. Zadorozhniy, V. S. Nozhkin, M. Y. Semenov, I. I. Ul'shin, “Stochastic model of heat transfer in the atmospheric surface layer”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 462–475; Comput. Math. Math. Phys., 60:3 (2020), 459–471
V. G. Zadorozhniy, G. A. Kurina, “Inverse Problem of the Variational Calculus for Differential Equations of Second Order with Deviating Argument”, Mat. Zametki, 90:2 (2011), 231–241; Math. Notes, 90:2 (2011), 218–226
M. M. Borovikova, V. G. Zadorozhniy, “Finding the moment functions of a solution of the two-dimensional diffusion equation with random coefficients”, Izv. RAN. Ser. Mat., 74:6 (2010), 27–54; Izv. Math., 74:6 (2010), 1127–1154
V. G. Zadorozhniy, S. S. Khrebtova, “First moment functions of the solution to the heat equation with random coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009), 1937–1952; Comput. Math. Math. Phys., 49:11 (2009), 1853–1868
V. G. Zadorozhniy, “On finding moment functions for the solution of the Cauchy problem for the diffusion equation with random coefficients”, Izv. RAN. Ser. Mat., 66:4 (2002), 119–136; Izv. Math., 66:4 (2002), 771–788
V. G. Zadorozhniy, L. N. Stroeva, “Moment functions of the solution of the Cauchy problem for a first-order linear differential equation with random coefficients”, Differ. Uravn., 36:3 (2000), 377–385; Differ. Equ., 36:3 (2000), 423–432
V. G. Zadorozhniy, “A linear first-order differential equation with ordinary and variational derivatives”, Mat. Zametki, 53:4 (1993), 36–44; Math. Notes, 53:4 (1993), 383–388
V. G. Zadorozhniy, “A differential equation in a Banach space that contains a variational derivative”, Sibirsk. Mat. Zh., 33:2 (1992), 80–93; Siberian Math. J., 33:2 (1992), 247–258
V. G. Zadorozhniy, “On the Cauchy problem corresponding to a linear system of differential equations with random coefficients”, Differ. Uravn., 26:3 (1990), 545–546
1989
18.
V. G. Zadorozhniy, “Second-order differential equations in variational derivatives”, Differ. Uravn., 25:10 (1989), 1679–1683; Differ. Equ., 25:10 (1989), 1162–1166
19.
V. G. Zadorozhniĭ, “An inverse problem of the calculus of variations for systems of differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 9, 79–82; Soviet Math. (Iz. VUZ), 33:9 (1989), 79–82
1981
20.
V. G. Zadorozhniy, “On the question of conditions for the applicability of the averaging method”, Differ. Uravn., 17:9 (1981), 1589–1595
1975
21.
V. G. Zadorozhniy, “Completely integrable equations in variational derivatives”, Differ. Uravn., 11:11 (1975), 2027–2039
A. I. Perov, V. G. Zadorozhniy, “Multidimensional linear differential equations with periodic coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 5, 64–73
2021
23.
A. I. Aptekarev, D. E. Apushkinskaya, O. V. Besov, V. I. Burenkov, V. V. Vlasov, R. V. Gamkrelidze, M. L. Gol'dman, G. V. Demidenko, V. G. Zadorozhniy, V. V. Kozlov, G. G. Lazareva, S. P. Novikov, V. M. Savchin, V. A. Sadovnichii, A. L. Skubachevskii, A. P. Soldatov, D. V. Treschev, M. A. Ragusa, H.-O. Walther, “Vladimir Mikhailovich Filippov”, CMFD, 67:3 (2021), 423–426
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