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The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem

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Abstract

The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point theorem on the cone.

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References

  1. Anderson, D. Multiple positive solutions for a three-point boundary value problem. Math. Comput. Modelling, 27(6): 49–57 (1998)

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  2. Henderson, J., Thompson, H.B. Multiple symmetric positive solutions for a second order boundary value problem. Proc. Amer. Math. Soc., 128: 2373–2379 (2000)

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  3. Krasnosel’skii, M.A. Positive solutions of operator equations. Noordhoff Groningen, Netheland, 1964

  4. Yosida, K. Functional analysis, (4th Edition). Springer-Verlag, Berlin, Heidelberg, New York, 1978

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Correspondence to Qing-Liu Yao.

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Yao, QL. The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem. Acta Mathematicae Applicatae Sinica, English Series 19, 117–122 (2003). https://doi.org/10.1007/s10255-003-0087-1

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  • DOI: https://doi.org/10.1007/s10255-003-0087-1

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