Differential Equation over Banach Algebra

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.

English text - 345 pages; Russian text - 362 pages

References in corpus (3)

• Linear differential systems over the quaternion skew field
• Linear Mappings of Quaternion Algebra
• Introduction into Calculus over Banach algebra