Year: 2015
Type: preprint
Abstract: We analyze the existence of unique solutions of the following class of nonlinear three point singular boundary value problems (SBVPs), \begin{eqnarray*}\label{NL-Singular-P} &&-(x^α y'(x))'= x^αf(x,y),\quad 00$, $00$ for $α\in \cup_{n\in \mathbb{N}}\left(4n-1,4n+1\right)$ or $α\in\{1,5,9,\cdots\}$ reverse ordered case occur. When $sup\left(\partial f/\partial y\right)>0$ for $α\in \cup_{n\in \mathbb{N}}\left(4n-3,4n-1\right)$ or $α\in\{3,7,11,\cdots\}$ and when $sup\left(\partial f/\partial y\right)<0$ for all $α\geq 1$ well order case occur.
Source: arXiv (Cornell University)
Authors: Singh, Mandeep, Verma, Amit K.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1913466711