Matrix-valued Bratu equation and the exact solution of its initial value problem

DOI10.1142/S2661335219500072zbMath1493.34008MaRDI QIDQ5016914

Hiroto Inoue

Publication date: 13 December 2021

Published in: International Journal of Mathematics for Industry (Search for Journal in Brave)

zbMATH Keywords

exact solutionLie algebranormal modelmatrix-valued Bratu equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• The Liouville-Bratu-Gelfand problem for radial operators
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations
• Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids
• A distance between multivariate normal distributions based in an embedding into the Siegel group
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