On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems-Reference-Cited by-同舟云学术

On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems

Published:2011 Issue: Volume:2011 Page:1-16
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Pandey R. K.¹,Verma Amit K.²

Affiliation:

1. Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India

2. Department of Mathematics, BITS Pilani, Rajasthan, Pilani 333031, India

Abstract

We present a constructive approach to establish existence and uniqueness of solution of singular boundary value problem-(p(x)y′(x))′=q(x)f(x,y,py′)for0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1.Herep(x)>0on(0,b)allowingp(0)=0. Furtherq(x)may be allowed to have integrable discontinuity atx=0, so the problem may be doubly singular.

Funder

Council of Scientific and Industrial Research

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2011/261963.pdf

Reference12 articles.

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