Sixth Mississippi State Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 15 (2007), pp. 127-139. 

Title: A non-resonant generalized multi-point boundary-value problem of
       Dirichelet type involving a p-laplacian type operator

Author: Chaitan P. Gupta (Univ. of Nevada, Reno,  NV, USA)
 
Abstract: 
 We study the existence of solutions for the generalized multi-point
 boundary-value problem
 $$\displaylines{
 (\phi (x'))'=f(t,x,x')+e\quad 0<t<1, \cr
 x(0)=\sum_{i=1}^{m-2}a_ix(\xi _i),\quad
 x(1)=\sum_{j=1}^{n-2}b_jx(\tau _j),
 }$$
 in the non-resonance case.
 Our methods consist in using topological degree and some a priori estimates.

Published February 28, 2007.
Math Subject Classifications: 34B10, 34B15, 34L30, 34L90.
Key Words: Generalized multi-point boundary value problems; 
           p-Laplace type operator, non-resonance; 
	   a priori estimates; topological degree.