Multiple Solutions to Implicit Symmetric Boundary Value Problems for Second Order Ordinary Differential Equations (ODEs): Equivariant Degree Approach

Multiple Solutions to Implicit Symmetric Boundary Value Problems for Second Order Ordinary Differential Equations (ODEs): Equivariant Degree Approach

In this paper, we develop a general framework for studying Dirichlet Boundary Value Problems (BVP) for second order symmetric implicit differential systems satisfying the Hartman-Nagumo conditions, as well as a certain non-expandability condition. The main result, obtained by means of the equivarian...

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Bibliographic Details
Main Authors: Mylinh Nguyen, Wieslaw Krawcewicz, Zhichao Li, Zalman Balanov
Format: Article
Language:English
Published: MDPI AG 2013-11-01
Series:Symmetry
Subjects:
symmetric BVP
second order implicit Ordinary Differential Equation (ODE)
multiple solutions
a priori bounds
equivariant degree
multivalued maps
dihedral group symmetries
Online Access:http://www.mdpi.com/2073-8994/5/4/287

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http://www.mdpi.com/2073-8994/5/4/287

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