#### Filter Results:

- Full text PDF available (4)

#### Publication Year

2011

2015

#### Publication Type

#### Co-author

#### Publication Venue

Learn More

- Irina V. Melnikova, Maxim A. Alshanskĭı
- 2011

stochastic distributions are used to investigate existence of strong solutions of a stochastic equation with multiplicative noise on a separable Hilbert space.

- I. Melnikova, M. Alshanskiy
- 2012

The Cauchy problem for the equation u (t) = Au(t) + BW(t) , t ≥ 0, with white noise W and A being the generator of regularized semigroups is studied in different spaces of distributions. Solutions of the problem in spaces of distributions with respect to time variable, random variable and both time and random variables are studied.

- Irina V. Melnikova, Uljana A. Alekseeva
- Int. J. Math. Mathematical Sciences
- 2012

– Studies of the UV-radiation are the most actual ecological problems that are called by ozone depletion increasing the level of biologically active solar UV-B radiation in the biosphere. The air pollution and atmospheric aerosols prevent penetrating appropriate dose UV radiation, which is beneficial for people, specifically due to production of vitamin D 3… (More)

The Cauchy problem for systems of differential equations with multiplicative random perturbations in the form of infinite-dimensional Ito integrals is studied. For the systems correct by Petro-vskii, conditionally correct and incorrect we point out Gelfand–Shilov spaces of generalized functions where a generalized solution coincides with a mild solution.

- ‹
- 1
- ›