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Differential and Difference Equations with Applications pp 429–437Cite as

The Displacement of a Sliding Bar Subject to Nonlinear Controllers

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 47))

Abstract

We discuss the existence of positive solutions for a fourth-order differential equation subject to nonlinear and nonlocal boundary conditions, which models a sliding bar. Our approach allows the involved nonlinearity to be singular. Our main ingredient is the theory of fixed-point index.

It is our pleasure to dedicate this paper to Professor Ravi Agarwal.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università della Calabria, 87036, Arcavacata di Rende, Cosenza, Italy

    Gennaro Infante & Paolamaria Pietramala

Authors
  1. Gennaro Infante
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  2. Paolamaria Pietramala
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Corresponding author

Correspondence to Gennaro Infante .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. University of Zürich Institute of Mathematics, Zürich, Switzerland

    Michel Chipot

  3. Masaryk University Dept. Mathematics, Brno, Czech Republic

    Zuzana Dosla

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Infante, G., Pietramala, P. (2013). The Displacement of a Sliding Bar Subject to Nonlinear Controllers. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_37

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