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

Release Time:2019-03-10  Hits:

Indexed by: Journal Papers

Date of Publication: 2004-09-01

Journal: TAIWANESE JOURNAL OF MATHEMATICS

Included Journals: SCIE、Scopus

Volume: 8

Issue: 3

Page Number: 503-513

ISSN: 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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