Citation: |
[1] |
A. B. Al'shin, M. O. Korpusov and A. G. Sveshnikov, Blow-up in Nonlinear Sobolev Type Equations, Series in Nonlinear Analysis and Applications, 15, De Gruyter, 2011.doi: 10.1515/9783110255294. |
[2] |
G. V. Demidenko and S. V. Uspenskii, Partial Differential Equations and Systems Not Solvable with Respect to the Highest Order Derivative, N.Y., Basel, Hong Kong, Marcel Dekker, Inc., 2003.doi: 10.1201/9780203911433. |
[3] |
A. Favini and A. Yagi, Degenerate Differential Equations in Banach Spaces, N.Y., Basel, Hong Kong, Marcel Dekker, Inc., 1999. |
[4] |
Yu. E. Gliklikh, Global and Stochastic Analysis with Applications to Mathematical Physics, London, Dordrecht, Heidelberg, N.Y., Springer, 2011.doi: 10.1007/978-0-85729-163-9. |
[5] |
Yu. E. Gliklikh and E. Yu. Mashkov, Stochastic Leontieff type equations and mean derivatives of stochastic processes, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 6 (2013), 25-39. |
[6] |
M. Kovács and S. Larsson, Introduction to stochastic partial differential equations, in Proceedings of "New Directions in the Mathematical and Computer Sciences", National Universities Commission, Abuja, Nigeria, October 8-12, 2007 Publications of the ICMCS, 4 (2008), 159-232. |
[7] |
A. I. Kozhanov, Boundary Problems for Odd Ordered Equations of Mathematical Physics, Novosibirsk, NGU, 1990. |
[8] |
L. D. Landau and E. M. Lifshits, Theoretical Phisics, VII. Elasticity Theory, Mscow, Nauka, 1987. |
[9] |
I. V. Melnikova, A. I. Filinkov and M. A. Alshansky, Abstract stochastic equations II. Solutions in spaces of abstract stochastic distributions, Journal of Mathematical Sciences, 116 (2003), 3620-3656.doi: 10.1023/A:1024159908410. |
[10] |
A. L. Shestakov, A. V. Keller and E. I. Nazarova, Numerical solution of the optimal measurement problem, Automation and Remote Control, 73 (2012), 97-104.doi: 10.1134/S0005117912010079. |
[11] |
A. L. Shestakov and G. A. Sviridyuk, On a new conception of white noise, Obozrenie Prikladnoy i Promyshlennoy Matematiki, 19 (2012), 287-288. |
[12] |
A. L. Shestakov and G. A. Sviridyuk, On the measurement of the "white noise", Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 286 (2012), 99-108. |
[13] |
A. L. Shestakov and G. A. Sviridyuk, Optimal measurement of dynamically distorted signals, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 234 (2011), 70-75. |
[14] |
A. L. Shestakov, G. A. Sviridyuk and Yu. V. Hudyakov, Dynamic measurement in spaces of "noise", Bulletin of the South Ural State University. Series: Computer Technologies, Automatic Control and Radioelectronics, 13 (2013), 4-11. |
[15] |
R. E. Showalter, Hilbert Space Methods for Partial Differential Equations, Pitman, London, San Francisco, Melbourne, 1977. |
[16] |
N. Sidorov, B. Loginov, A. Sinithyn and M. Falaleev, Lyapunov-Shmidt Methods in Nonlinear Analysis and Applications, Dordrecht, Boston, London, Kluwer Academic Publishers, 2002.doi: 10.1007/978-94-017-2122-6. |
[17] |
G. A. Sviridyuk and T. V. Apetova, The phase spaces of linear dynamic Sobolev type equations, Doklady Akademii Nauk, 330 (1993), 696-699. |
[18] |
G. A. Sviridyuk and V. E. Fedorov, Linear Sobolev Type Equations and Degenerate Semigroups of Operators, Utrecht, Boston, Köln, Tokyo, VSP, 2003.doi: 10.1515/9783110915501. |
[19] |
G. A. Sviridyuk and N. A. Manakova, The Dynamical Models of Sobolev Type with Showalter - Sidorov Condition and Additive 'Noise', Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 7 (2014), 90-103. |
[20] |
G. A. Sviridyuk and O. V. Vakarina, Linear Sobolev type equations of higher order, Doklady Akademii Nauk, 393 (1998), 308-310. |
[21] |
G. A. Sviridyuk and A. A. Zamyshlyaeva, The phase spaces of a class of linear higher-order Sobolev type equations, Differential Equations, 42 (2006), 269-278.doi: 10.1134/S0012266106020145. |
[22] | |
[23] |
S. Wang and G. Chen, Small amplitude solutions of the generalized IMBq equation, Mathematical Analysis and Applications, 274 (2002), 846-866.doi: 10.1016/S0022-247X(02)00401-8. |
[24] |
S. A. Zagrebina and E. A. Soldatova, The linear Sobolev-type equations with relatively p-bounded operators and additive white noise, The Bulletin of Irkutsk State University. Series "Mathematics", 6 (2013), 20-34. |
[25] |
A. A. Zamyshlyaeva, The higher-order Sobolev-type models, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 7 (2014), 5-28. |
[26] |
A. A. Zamyshlyaeva, Stochastic incomplete linear Sobolev type high-ordered equations with additive white noise, Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 299 (2012), 73-82. |