Differential equations with infinitely many derivatives and the Borel transform

DOI10.1007/s00023-015-0447-4zbMath1355.34029OpenAlexW2239649440MaRDI QIDQ740058

Enrique G. Reyes, Marcus Carlsson, Humberto E. Prado

Publication date: 12 August 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-015-0447-4

zbMATH Keywords

particular solutionBorel transformexponential type functionlinear differential equation with infinitely many derivatives

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Other functions defined by series and integrals (33E20)

Related Items (6)

Infinite-derivative linearized gravity in convolutional form ⋮ Reconciling absence of vDVZ discontinuity with absence of ghosts in nonlocal linearized gravity ⋮ Nonlinear pseudo-differential equations defined by elliptic symbols on \(L^p(\mathbb{R}^n)\) and the fractional Laplacian ⋮ On the differential geometry of numerical schemes and weak solutions of functional equations ⋮ Nonlinear evolution equations with infinitely many derivatives ⋮ Slow travelling wave solutions of the nonlocal Fisher-KPP equation

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