Mean square behavior of the strong solution of a linear non-autonomous stochastic partial differential equation with Markov parameters
DOI10.1007/s10559-014-9683-8zbMath1327.60126OpenAlexW2063910470WikidataQ115384136 ScholiaQ115384136MaRDI QIDQ891110
I. V. Yurchenko, N. P. Donez, V. K. Yasyns'kyi
Publication date: 16 November 2015
Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10559-014-9683-8
Lyapunov functionstrong solutionstochastic partial differential equationmean square asymptotic stabilityMarkov parameter
Continuous-time Markov processes on general state spaces (60J25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Cites Work
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- Differential-difference equations
- Asymptotic behavior of solutions of the heat-conduction equation with white noise in the right side
- Boundary-value problem for a stochastic equation of parabolic type
- Mean-square asymptotic stability of the trivial solution of stochastic functional-differential equations
- A mixed problem for a stochastic differential equation of parabolic type
- Investigation of the Cauchy problem for stochastic partial differential equations
- ON NON-LINEAR NORMAL VIBRATION MODES THAT EXIST ONLY IN AN INTERMEDIATE AMPLITUDE RANGE
- Asymptotic Exponential Mean-Square Stability of the Trivial Solution of Stochastic Functional-Differential Equations
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