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

Armands Gritsans and Felix Sadyrbaev

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-9

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:705984

DOI: 10.1155/2013/705984

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