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Positive solutions of boundary value problems for discrete and continuous beam equations

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Abstract

The authors study two related boundary value problems for discrete and continuous beam equations. Some upper and lower estimates for positive solutions of the problems are obtained. Sufficient conditions for the existence and nonexistence of positive solutions are established.

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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 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. Bo Yang
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Correspondence to John R. Graef.

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Graef, J.R., Kong, L. & Yang, B. Positive solutions of boundary value problems for discrete and continuous beam equations. J. Appl. Math. Comput. 41, 197–208 (2013). https://doi.org/10.1007/s12190-012-0585-5

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  • DOI: https://doi.org/10.1007/s12190-012-0585-5

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