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Two-point problem for linear stochastic parabolic equations with continuous disturbances
Perun Galina Mykhailivna 1
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: two-point problem, stochastic parabolic equations
Abstract
The existence with the probability 1 of a Green’s function for the two-point problem for a linear stochastic parabolic equation with coefficients that depend on $t$, and perturbations of continuous type is established.
References

[1] Matiychuk M.I. Parabolic singular boundary value problems. - K.: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1999. - 176 p.

[2] Gikhman, I.I. Boundary value problem for a stochastic equation of parabolic type / / Ukr. mat. zhury.  - 1979.  - 31, № 5.  - P.  483-489.

[3] Gikhman Il.I. About a mixed problem for a stochastic differential equation of parabolic type / / Ukr. mat. zhurn. - 1980. - 32, № 3.   - P.  367-372.

[4] Yasynskyi V.K., Bodryk P.P. Investigation of the properties of a strong solution of the Cauchy problem for a linear stochastic partial differential equation with partial derivatives and Markov parameters // Scientific Bulletin of Yuriy Fedkovych Chernivtsi National University. Series: Mathematics: 36. nauk. pr. - Vol. 1, № 1-2, 2011.

[5] Perun G.M. A problem with impulse action for a linear stochastic parabolic equation of higher order // Ukrainian Mathematical Journal, 2008, vol. 60, № 10.

[6] Gikhman I.P., Skorokhod A.B..  Introduction to the theory of random processes. - M.: Nauka, 1977. - 567 p.

[7] Eidelman S.D. Parabolic systems.  -M.: Nauka, 1964.  - 444 p.

Cite
ACS Style
Perun, G.M. Two-point problem for linear stochastic parabolic equations with continuous disturbances. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Perun GM. Two-point problem for linear stochastic parabolic equations with continuous disturbances. Bukovinian Mathematical Journal. 2018; 1(4).
Chicago/Turabian Style
Galina Mykhailivna Perun. 2018. "Two-point problem for linear stochastic parabolic equations with continuous disturbances". Bukovinian Mathematical Journal. 1 no. 4.
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