On a Constructive Approach for Derivative-Dependent Singular Boundary Value Problems
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′) for 0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1. Here p(x)>0 on (0,b) allowing p(0)=0. Further q(x) may be allowed to have integrable discontinuity at x=...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/261963 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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′) for 0<x≤b,y(0)=a,α1y(b)+β1p(b)y′(b)=γ1. 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. |
|---|---|
| ISSN: | 1687-9643 1687-9651 |