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Solvability of nonlinear ordinary differential equation when its associated linear equation has no nontrivial or sign-changing solution

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Indexed by:Journal Papers

Date of Publication:2004-09-01

Journal:TAIWANESE JOURNAL OF MATHEMATICS

Included Journals:Scopus、SCIE

Volume:8

Issue:3

Page Number:503-513

ISSN No.:1027-5487

Key Words:caratheodory conditions; boundary value problems; coincidence degree

Abstract:In this paper we investigate the existence of nontrivial solutions of a two-point boundary value problem. Under the condition that the associated linear boundary value problem has no nontrivial solutions or no sign-changing solutions and some other additional conditions, we prove some existence theorems of (nontrivial) solutions.

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