The exit problem for certain dynamical systems with small poisson disturbances

References

• Bellman , R. and Cooke , K. 1963 . Differential-Difference Equations , New York : Academic Press .
   Google Scholar
• Bender , C.M. and Orszag , S.A. 1978 . Advanced Mathematical Methods for Scientists and Engineers , New York : McGraw-Hil .
   Google Scholar
• Driver , R.D. 1972 . Some Harmless Delays, in Delay and Functional Differential Equations and Their Applications , 103 – 119 . New York : Academic Press .
   Google Scholar
• Dvoretzky , A. , Kiefe , J. and Wolfowitz , J. 1953 . Sequential Decision Problems for Processes with Continuous Time Parameter. Testing Hypotheses . Ann. Math. Statist , 24 : 254 – 264 .
   Google Scholar
• Hanson , F. and Tuckwell , H.C. 1978 . Persistence Times of Populations with Large Random Fluctuations . Theoret. Population Biology , 14 : 46 – 61 .
   PubMed Web of Science ®Google Scholar
• Olver , F.W.J. 1974 . Asymptotics and Special Functions , New York : Academic Press .
   Google Scholar
• Tuckwell , H.C. and Richter , W. 1978 . Neuronal Interspike Time Distributions and the Estimation of Neurophysiological and Neuroanatomical Parameters . J. Theoret. Biology , 71 : 167 – 183 .
   PubMed Web of Science ®Google Scholar
• Wickwire , K.H. 1979 . On the Poisson Disorder Problem . International J. Systems Science , 10 : 275 – 283 .
   Web of Science ®Google Scholar
• Wickwire , K.H. 1979 . The Expected First-Passage Time for a Sufficient Statistic Arising in the Poisson Disorder Problem . J. App. Prob , 16 : 274 – 286 .
   Google Scholar
• Wickwire , K.H. 1981 . Optimal Stopping Problems for Differential Equations Perturbed by a Poisson Process . Naval Research Logistics Quarterly , 28 : 423 – 429 .
   Google Scholar