Study of the algebra of smooth integro-differential operators with applications

DOI10.1142/S0219498819500099zbMath1456.16021OpenAlexW2789250728MaRDI QIDQ5376488

Adel Kassaian, Ahmad Haghany

Publication date: 10 May 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500099

zbMATH Keywords

integro-differential equationsVolterra integral equation of first kindlinear integro-differential operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Linear operators on function spaces (general) (47B38) Rings of differential operators (associative algebraic aspects) (16S32) Differential algebra (12H05) Volterra integral equations (45D05) Units, groups of units (associative rings and algebras) (16U60) Graded Fréchet spaces and tame operators (46A61)

Cites Work

• The algebra of integro-differential operators on an affine line and its modules.
• Divided powers and composition in integro-differential algebras
• A skew polynomial approach to integro-differential operators
• Volterra Integral Equations
• Green's Function For Linear Differential Operators In One Variable
• The algebra of integro-differential operators on a polynomial algebra
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