Rocky Mountain Journal of Mathematics

Positive solutions to a three point fourth order focal boundary value problem

John R. Graef and Bo Yang

Full-text: Open access

Abstract

We consider a three point fourth order boundary value problem of focal type. Some upper and lower estimates for positive solutions of the problem are obtained. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are established. An example is included to illustrate the results.

Article information

Source
Rocky Mountain J. Math., Volume 44, Number 3 (2014), 937-951.

Dates
First available in Project Euclid: 28 September 2014

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1411945672

Digital Object Identifier
doi:10.1216/RMJ-2014-44-3-937

Mathematical Reviews number (MathSciNet)
MR3264490

Zentralblatt MATH identifier
1311.34050

Subjects
Primary: 34B15: Nonlinear boundary value problems 34B18: Positive solutions of nonlinear boundary value problems

Keywords
Fixed point theorem cone nonlinear b oundary-value problem positive solution

Citation

Graef, John R.; Yang, Bo. Positive solutions to a three point fourth order focal boundary value problem. Rocky Mountain J. Math. 44 (2014), no. 3, 937--951. doi:10.1216/RMJ-2014-44-3-937. https://projecteuclid.org/euclid.rmjm/1411945672


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References

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