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Titlebook: Algebraic and Algorithmic Aspects of Differential and Integral Operators; 5th International Me Moulay Barkatou,Thomas Cluzeau,Markus Rosenk

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Operational Calculi for Nonlocal Cauchy Problems in Resonance Cases,al calculi are used. They are based on a non-classical convolution proposed by one of the authors in 1974. Compared with previous publications of the authors, this paper is focussed on the resonance case.
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Intertwining Laplace Transformations of Linear Partial Differential Equations,lly all previously proposed differential transformations of LPDOs are particular cases of this transformation (intertwining Laplace transformation, .). We give a practical procedure of construction of . and describe the classes of operators in ℝ. suitable for this transformation.
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,Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems,zed Green’s operators are a certain kind of generalized inverses of differential operators. We answer the question when the product of two generalized Green’s operators is again a generalized Green’s operator for the product of the corresponding differential operators and which boundary problem it s
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