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The existence of a positive solution for a generalized delay logistic equation with multifractional noise

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  • Nguyen Tien, Dung

Abstract

The aim of this work is to prove the existence of a positive solution for a class of generalized delay logistic equations with multifractional noise. To do this, a method of semimartingale approximation is introduced.

Suggested Citation

  • Nguyen Tien, Dung, 2013. "The existence of a positive solution for a generalized delay logistic equation with multifractional noise," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1240-1246.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:4:p:1240-1246
    DOI: 10.1016/j.spl.2012.12.029
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    References listed on IDEAS

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    1. Boufoussi, Brahim & Hajji, Salah, 2012. "Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space," Statistics & Probability Letters, Elsevier, vol. 82(8), pages 1549-1558.
    2. V.I. Yukalov & E.P. Yukalova & D. Sornette, "undated". "Punctuated Evolution due to Delayed Carrying Capacity," Working Papers CCSS-09-004, ETH Zurich, Chair of Systems Design.
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    Cited by:

    1. Eric Djeutcha & Didier Alain Njamen Njomen & Louis-Aimé Fono, 2019. "Solving Arbitrage Problem on the Financial Market Under the Mixed Fractional Brownian Motion With Hurst Parameter H ∈]1/2,3/4[," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(1), pages 76-92, February.

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