Triple positive solutions for multipoint conjugate boundary value problems

Author(s)

John M. Davis, Auburn University
Paul W. Eloe, University of DaytonFollow
Johnny Henderson, Baylor University

Document Type

Article

Publication Date

1999

Publication Source

Georgian Mathematical Journal

Abstract

For the nth order nonlinear differential equation y (n)(t)=f(y(t)), t [0,1], satisfying the multipoint conjugate boundary conditions, y (j)(ai) = 0,1 i k, 0 j n i - 1, 0 =a 1 a 2 a k = 1, and i=1 k n i =n, where f: [0, ) is continuous, growth condtions are imposed on f which yield the existence of at least three solutions that belong to a cone.

Inclusive pages

415-420

ISBN/ISSN

1072-947X

Document Version

Published Version

Comments

This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.

Volume

6

Issue

5

Peer Reviewed

yes

eCommons Citation

Davis, John M.; Eloe, Paul W.; and Henderson, Johnny, "Triple positive solutions for multipoint conjugate boundary value problems" (1999). Mathematics Faculty Publications. 109.
https://ecommons.udayton.edu/mth_fac_pub/109