6533b83afe1ef96bd12a77b1

RESEARCH PRODUCT

Explicit closed form solutions of boundary value problems for systems of difference equations

Lucas Jódar

subject

Generalized inverseComputational Theory and MathematicsDifferential equationApplied MathematicsNumerical analysisMathematical analysisPoint (geometry)Boundary value problemAlgebraic numberType (model theory)Closed-form expressionComputer Science ApplicationsMathematics

description

In this paper boundary value problems for systems of difference equations of the type , where A j ∈ C p×p and bn y j+n ∈ C p , for 0≤j≤k − 1, are studied from an algebraic point of view. Existence conditions and closed form solutions are given in terms of co-solutions of the algebraic matrix equation .

https://doi.org/10.1080/00207169008803852