Solution of ordinary differential equations by series of delta functions

DOI10.1016/S0022-247X(85)71119-5zbMath0824.34067OpenAlexW3151823577MaRDI QIDQ1892559

Luis G. Hernández-Ureña, Ricardo Estrada

Publication date: 9 November 1995

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(85)71119-5

zbMATH Keywords

asymptotic expansionformal solutiondistributional solutionDirac delta functionlinear differential equation with polynomial coefficients

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

On the generalized solutions of a certain fourth order Euler equations ⋮ Asymptotic expansion of thick distributions ⋮ Implicit linear differential-difference equations in the module of formal generalized functions over a commutative ring ⋮ The generalized solutions of a certain nth order Cauchy–Euler equation ⋮ RENORMALIZATION AND ASYMPTOTICS

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