Positive solutions of boundary-value problems for 2m-order differential equations

This article concerns the existence of positive solutions to the differential equation $$ (-1)^m x^{(2m)}(t)=f(t,x(t),x'(t),dots,x^{(m)}(t)), quad 0<t<pi, $$ subject to boundary condition $$ x^{(2i)}(0)=x^{(2i)}(pi)=0, $$ or to the boundary condition $$ x^{(2i)}(0)=x^{(2i+1)}(pi)=0, $$ fo...

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Bibliographic Details
Main Authors: Yuji Liu, Weigao Ge
Format: Article
Language:English
Published: Texas State University 2003-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/89/abstr.html