Khasminskii-Type Theorems for Stochastic Differential Delay Equations

By Xuerong Mao, Matina John Rassias. 2005

125 citations recorded by the source corpus.

Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/04034e06847a07a799912cb407e8074ba78f5d44

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In Genetics

1. George Yin
2. Xuerong Mao
3. Jianhai Bao
4. Chenggui Yuan
5. Meng Liu
6. Ke Wang

In Modeling and Simulation

1. George Yin
2. Xuerong Mao
3. Xiaoyue Li
4. Ke Wang
5. Meng Liu

In Public Health, Environmental and Occupational Health

1. George Yin
2. Xuerong Mao
3. Xiaoyue Li
4. Ke Wang
5. Meng Liu
6. Chenggui Yuan
7. Jianhai Bao

Citations in the corpus

• Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in pth moment, and stability (2019, background): “…x ∈ Rd. (2.5) Therefore, it follows from (2.4) and (2.5) that L (( 1 + |x|2 ) p 2 ) ≤ ( pλ 2 + κ )( 1 + |x|2 ) p 2 + C. (2.6) The above inequality and Assumption 2.1 guarantee the existence of the unique regular solution x(t) (see the so-called Khasminskii test in the study by Mao & Rassias, 2005).”