On a constructive approach for derivative-dependent singular boundary value problems
type: Item
instance of: scholarly article
title: On a constructive approach for derivative-dependent singular boundary value problems
zbMATH Open document ID: 1238.34041
DOI: 10.1155/2011/261963
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: We present a constructive approach to establish existence and uniqueness of the solution of the singular boundary value problem \[ -(p(x)y'(x))' = q(x)f(x, y, py') for 0 < x \leq b, \] \[ y(0) = a, ~\alpha_1 y(b) + \beta_1 p(b)y'(b) = \gamma_1. \] Here, \(p(x) > 0\) on \((0, b)\) allowing \(p(0) = 0\). Further \(q(x)\) may be allowed to have integrable discontinuity at \(x = 0\), so the problem may be doubly singular.
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A36
zbMATH DE Number: 6013175
zbMATH Keywords: integrable discontinuity
author: Rajni Kant Pandey
author: Amit K. Verma
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/261963
OpenAlex ID: W2153466734
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Wikidata QID: Q58686730
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description: scientific article; zbMATH DE number 6013175