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.
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