Abstract

In this paper, we give existence and uniqueness results of nontrivial positive solution for the boundary value problem of the weighted and generalized Fisher's type differential equation.

Highlights

  • Because of their applications in biology, the study of Fisher’s differential equations have received a great deal of attention during the latter two decades; see [11], [12], [13], [15], [16] and [14], and references therein

  • [7] A non empty subset M of E is relatively compact if the following conditions hold : (1) M is bounded in E, (2) M is locally equicontinuous on [0, +∞), and (3) M is equiconvergent at ∞

  • We show that the set Mr,R is a subset of.E

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Summary

Introduction

Because of their applications in biology, the study of Fisher’s differential equations have received a great deal of attention during the latter two decades; see [11], [12], [13], [15], [16] and [14], and references therein. It was derived in 1937 and takes the form. We consider the following singular boundary value problem of the weighted and generalized Fisher’s type differential equation.

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