Exponential stability of second-order stochastic evolution equations with Poisson jumps

DOI10.1016/j.cnsns.2012.04.020zbMath1273.60077OpenAlexW2058707134MaRDI QIDQ1948175

Yong Ren, Rathinasamy Sakthivel

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.04.020

zbMATH Keywords

mild solutionPoisson point processcosine familyexponential stability in second meansecond order stochastic evolution equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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