Solving evolutionary-type differential equations and physical problems using the operator method

DOI10.1134/S0040577917010044zbMath1383.35007MaRDI QIDQ682339

K. V. Zhukovskiĭ

Publication date: 14 February 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

inverse operatorLaguerre polynomialHermite polynomialexponential operatorBlack-Scholes typeFokker-Planck typeinverse derivative

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fundamental solutions to PDEs (35A08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Nonlinear higher-order PDEs (35G20)

Related Items (4)

Generalized ballistic-conductive heat transport laws in three-dimensional isotropic materials ⋮ Exact analytic solution and investigation of the Guyer-Krumhansl heat equation ⋮ Some exact solutions to non-Fourier heat equations with substantial derivative ⋮ Time evolution of quadratic quantum systems: evolution operators, propagators, and invariants

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• Investigation of the trajectories of a magnetized particle in the equatorial plane of a magnetic dipole
• A new family of integral transforms and their applications

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