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First order difference systems with multipoint boundary conditions

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Mawhin, Jean [UCL]

Using Brouwer degree and convex analysis, we obtain geometric conditions for the existence of solutions of multipoint boundary value problems for n-dimensional difference systems of the form (Formula presented.) when T is a positive integer, the vector fields f(k, u) point outside a bounded convex set of Rn on its boundary, and the diagonal matrix function g(k) satisfies suitable conditions, which cover the periodic boundary conditions.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2016
Language Anglais
Journal information "Journal of Difference Equations and Applications" - Vol. 22, p. 1088-1097 (2016)
Peer reviewed yes
Publisher Informa UK Limited
issn 1023-6198
e-issn 1563-5120
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords Algebra and Number Theory ; Applied Mathematics ; Analysis
Links
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Bibliographic reference Mawhin, Jean. First order difference systems with multipoint boundary conditions. In: Journal of Difference Equations and Applications, Vol. 22, p. 1088-1097 (2016)
Permanent URL http://hdl.handle.net/2078.1/187861