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Positive Solutions to a Fourth Order Boundary Value Problem

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Abstract

The authors consider a fourth order two-point boundary value problem. Some a priori estimates to positive solutions for the problem are obtained. Explicit sufficient conditions for existence and nonexistence of positive solutions to the problem are established. An example to illustrate the results is included.

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Authors and Affiliations

  1. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA

    John R. Graef & Lingju Kong

  2. Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL, 60115, USA

    Qingkai Kong

  3. Department of Mathematics and Statistics, Kennesaw State University, Kennesaw, GA, 30144, USA

    Bo Yang

Authors
  1. John R. Graef
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  2. Lingju Kong
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  3. Qingkai Kong
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  4. Bo Yang
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Correspondence to John R. Graef.

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Graef, J.R., Kong, L., Kong, Q. et al. Positive Solutions to a Fourth Order Boundary Value Problem. Results. Math. 59, 141–155 (2011). https://doi.org/10.1007/s00025-010-0068-7

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  • DOI: https://doi.org/10.1007/s00025-010-0068-7

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