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References

  1. J.A.D. Appleby and E.Buckwar. Noise induced oscillation in solutions of delay differential equations. Dynam. Systems Appl. (2003), submitted. Math. Review number not available.
  2. J.A.D. Appleby and C. Kelly. Prevention of explosion in solutions of functional differential equations by noise perturbation. Dynam. Systems Appl. (2004), submitted. Math. Review number not available.
  3. J.A.D. Appleby and C.Kelly. Asymptotic and Oscillatory Properties of Linear Stochastic Delay Differential Equations with Vanishing Delay. Funct. Differ. Equ. (2004), to appear. Math. Review number not available.
  4. D.Dufresne. The distribution of a perpetuity, with applications to risk theory and pension funding. Scand. Actuarial J., 1-2 (1990), 39-79. Math. Review 92i:62195
  5. A.A. Gushchin and U. Küchler. On oscillations of the geometric Brownian motion with time delayed drift. Statist. Probab. Lett. (2003), submitted. Math. Review number not available.
  6. I. Karatzas and S. E. Shreve. Brownian Motion and Stochastic Calculus. Second edition. Graduate Texts in Mathematics, 113. Springer, New York, 1991. Math. Review 92h:60127
  7. G. Ladas, V. Lakshmikantham, and J. S. Papadakis. Oscillations of higher-order retarded differential equations generated by the retarded argument. In K.~Schmitt, editor, Delay and functional differential equations and their applications, pages 219--231. Academic Press, New York, 1972. Math. Review MR0372363 (51 #8579)
  8. X. Mao. Stochastic differential equations and their applications. Horwood Publishing Limited, Chichester, 1997. Math. Review MR1475218 (2000g:60099)
  9. W. Shreve. Oscillation in first order nonlinear retarded argument differential equations. Proc. Amer. Math Soc., 41(2) (1973), 565--568. Math. Review MR0372371 (51 #8587)
  10. V. Staikos and I. Stavroulakis. Bounded oscillations under the effect of retardations for differential equations of arbitrary order. Proc. Roy. Soc. Edinburgh Sect. A, 77(1-2) (1977), 129-136. Math. Review MR0454256 (56 #12507)


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