First order difference systems with multipoint boundary conditions
(2016) Journal of Difference Equations and Applications — Vol. 22, p. 1088-1097 (2016)
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- Abstract
- 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.
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Mawhin, J. (2016). First order difference systems with multipoint boundary conditions. Journal of Difference Equations and Applications, 22, 1088-1097. https://doi.org/10.1080/10236198.2016.1158255 (Original work published 2016)