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

Source: [A note on derivative dependent singular boundary value problems arising in physiology](<https://www.sota2.com/research/paper/68fa56651e209131ce99c350>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:07:44.518Z

Authors: R. K. Pandey, A. K. Verma

Published: 2019-11-17T05:43:19.000Z

## Abstract

In this note we establish existence of solutions of singular boundary value problem $-(p(x)y^{\\prime }(x))^{\\prime}=q(x)f(x,y,py')$ for $0\< x\\leq b$ and $y'(0)=0$, $\\alpha\_{1}y(b)+\\beta\_{1}p(b)y^{\\prime}(b)=\\gamma\_{1}$ with $p(0)=0$ and $q(x)$ is integrable. Regions of multiple solutions have also been determined.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1911.07157>)

[PDF](<https://arxiv.org/pdf/1911.07157.pdf>)