English

A note on derivative dependent singular boundary value problems arising in physiology

Classical Analysis and ODEs 2019-11-19 v1

Abstract

In this note we establish existence of solutions of singular boundary value problem (p(x)y(x))=q(x)f(x,y,py)-(p(x)y^{\prime }(x))^{\prime}=q(x)f(x,y,py') for 0<xb0< x\leq b and y(0)=0y'(0)=0, α1y(b)+β1p(b)y(b)=γ1\alpha_{1}y(b)+\beta_{1}p(b)y^{\prime}(b)=\gamma_{1} with p(0)=0p(0)=0 and q(x)q(x) is integrable. Regions of multiple solutions have also been determined.

Keywords

Cite

@article{arxiv.1911.07157,
  title  = {A note on derivative dependent singular boundary value problems arising in physiology},
  author = {R. K. Pandey and A. K. Verma},
  journal= {arXiv preprint arXiv:1911.07157},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T12:18:12.184Z