Comparison principle and stability criteria for stochastic differential delay equations with Markovian switching
From MaRDI portal
Publication:551745
zbMath1217.60046MaRDI QIDQ551745
Luo, Jiaowan, Zhen Ting Hou, Jie Zhong Zou
Publication date: 21 July 2011
Published in: Science in China. Series A (Search for Journal in Brave)
comparison principleBrownian motionMarkov chaingeneralized Itô's formulastochastic differential delay equations
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Stochastic integrals (60H05)
Related Items (15)
Convergence of numerical solutions to stochastic differential delay equations with Poisson jump and Markovian switching ⋮ A Taylor method for stochastic differential equations with time-dependent delay via the polynomial condition ⋮ Stability of invariant sets of Itô stochastic differential equations with Markovian switching ⋮ Unnamed Item ⋮ \(p\)th mean practical stability for large-scale Itô stochastic systems with Markovian switching ⋮ Mean square stability of impulsive stochastic delayed reaction-diffusion equations via comparison principle with Razumikhin method ⋮ Some results on almost sure stability of non-autonomous stochastic differential equations with Markovian switching ⋮ Instability of impulsive stochastic systems with application to image encryption ⋮ Stability with general decay rates of stochastic differential delay equations with Poisson jumps and Markovian switching ⋮ A Taylor polynomial approach in approximations of solution to pantograph stochastic differential equations with Markovian switching ⋮ An analytic approximation of solutions of stochastic differential delay equations with Markovian switching ⋮ Stability in distribution of neutral stochastic differential delay equations with Markovian switching ⋮ Moment decay rates of infinite dimensional stochastic evolution equations with memory and Markovian jumps ⋮ Practical stability, controllability and optimal control of stochastic Markovian jump systems with time-delays ⋮ Comparison principle and stability of Itô stochastic differential delay equations with Poisson jump and Markovian switching
This page was built for publication: Comparison principle and stability criteria for stochastic differential delay equations with Markovian switching