Differential Equation over Banach Algebra

Aleks Kleyn

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arXiv · 1801.01628

Differential Equation over Banach Algebra

Aleks Kleyn

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Abstract

In the book, I considered differential equations of order $1$ over Banach $D$\Hyph algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation. I considered examples of differential equations in quaternion algebra. In order to study homogeneous system of linear differential equations, I considered vector space over division $D$-algebra, solving of linear equations over division $D$-algebra and the theory of eigenvalues in non commutative division $D$-algebra.

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Aleks Kleyn. 2018-01-05. Differential Equation over Banach Algebra. https://arxiv.org/abs/1801.01628

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