Taiwanese Journal of Mathematics

SOLVABILITY OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION WHEN ITS ASSOCIATED LINEAR EQUATION HAS NO NONTRIVIAL OR SIGN-CHANGING SOLUTION

Zhi-Qing Han

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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.

Article information

Source
Taiwanese J. Math., Volume 8, Number 3 (2004), 503-513.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500407670

Digital Object Identifier
doi:10.11650/twjm/1500407670

Mathematical Reviews number (MathSciNet)
MR2163323

Zentralblatt MATH identifier
1082.34014

Subjects
Primary: 34B15: Nonlinear boundary value problems

Keywords
Caratheodory conditions boundary value problems coincidence degree

Citation

Han, Zhi-Qing. SOLVABILITY OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION WHEN ITS ASSOCIATED LINEAR EQUATION HAS NO NONTRIVIAL OR SIGN-CHANGING SOLUTION. Taiwanese J. Math. 8 (2004), no. 3, 503--513. doi:10.11650/twjm/1500407670. https://projecteuclid.org/euclid.twjm/1500407670


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References

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