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Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions

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  • Armands Gritsans
  • Felix Sadyrbaev

Abstract

Properties of asymmetric oscillator described by the equation (i), where and , are studied. A set of such that the problem (i), (ii), and (iii) have a nontrivial solution, is called α -spectrum. We give full description of α -spectra in terms of solution sets and solution surfaces. The exact number of nontrivial solutions of the two-parameter Dirichlet boundary value problem (i), and (ii) is given.

Suggested Citation

  • Armands Gritsans & Felix Sadyrbaev, 2013. "Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-9, February.
    • Handle: RePEc:hin:jijmms:705984
    DOI: 10.1155/2013/705984
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    References listed on IDEAS

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