Coexistence of analytic and distributional solutions for linear differential equations. II

DOI10.1016/0022-247X(91)90235-RzbMath0734.34015OpenAlexW4251229956MaRDI QIDQ810704

Kenneth L. Cooke, S. M. Shah, Joseph Wiener

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90235-r

zbMATH Keywords

confluent hypergeometric equationExistence and non-existence theorems in spaces of infinite-order distributionsinfinite series of the delta functionlinear equations with polynomial coefficients

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) General theory of functional-differential equations (34K05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (2)

On the generalized solutions of a certain fourth order Euler equations ⋮ The generalized solutions of a certain nth order Cauchy–Euler equation

Cites Work

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• Generalized-function solutions of linear systems
• Generalized-function solutions of differential and functional differential equations
• Distributional and entire solutions of linear functional differential equations
• Coexistence of analytic and distributional solutions for linear differential equations. I
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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