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

Abstract

Download PDF Opens in a new window. Article suggestions will be shown in a dialog on return to ScienceDirect. ... Please enable JavaScript to use all the features on this page. ... 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. ... K h ( t , s ) ≔ K h ( t ) ( t , s ) = s 1 2 − h ( t ) ∫ s t ( y − s ) h ( t ) − 3 2 y h ( t ) − 1 2 d y . ... A multifractional Gaussian process reduces to a fractional Brownian motion (fBm) ...