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Titlebook: Complex Methods for Partial Differential Equations; Heinrich G. W. Begehr,A. Okay Celebi,Wolfgang Tuts Book 19991st edition Kluwer Academi

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System with Imprecise Jumping Parameters,. The systems are regular or singular. For inhomogeneous systems the compatibility and solvability conditions are derived and for the homogeneous systems the structure of their solutions are investigated.
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Stability Analysis of Neural Networksd to elliptic equations. Multidimensional analogues of the Beltrami equation in certain Clifford algebras turn out to be elliptic or hyperbolic. A parabolic equation related to the heat equation is investigated in a Clifford algebra.
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https://doi.org/10.1007/978-3-030-82438-9hen solving boundary value problems for elliptic systems in the plane, the lecture is concentrated on discussing the reasons why complex methods can also be used when solving initial value problems of Cauchy-Kovalevskaya type. Generalizing this approach, initial value problems will be solved in asso
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Two Approaches to Non-Commutative Geometry,d one (group-theoretic) to Klein. We will see that they are not rivalling but are tied (by Galois). We also examine their modern life as philosophies of non-commutative geometry. Connections between different objects (see .) are discussed.
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Some Partial Differential Equations in Clifford Analysis,d to elliptic equations. Multidimensional analogues of the Beltrami equation in certain Clifford algebras turn out to be elliptic or hyperbolic. A parabolic equation related to the heat equation is investigated in a Clifford algebra.
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Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Si in .. and .(.) is linear in the components of .. The paper proves a sufficient condition under which the right-hand side is antimonogenic. This criterion makes it possible to construct anti-monogenic righthand sides.
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