A new a priori estimate for multi-point boundary-value problem

Let $f:[0,1]imes mathbb{R}^2o mathbb{R}$ be a function satisfying Caratheodory's conditions and $e(t)in L^{1}[0,1]$. Let $0<xi _1<xi_2<dots <xi_{m-2}<1$ and $a_iin mathbb{R}$ for $i=1,2,dots ,m-2$ be given. A priori estimates of the form $$ |x|_{infty }leq C| x''|_1, qu...

Full description

Bibliographic Details
Main Author: Chaitan P. Gupta
Format: Article
Language:English
Published: Texas State University 2001-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/07/g1/abstr.html