The semi-infinite system of nonlinear differential equations Ak=2Ak(Ak+1-Ak-1): methods of integration and asymptotic time behaviours

DOI10.1088/0951-7715/3/3/007zbMath0715.34017OpenAlexW1977301955MaRDI QIDQ3202411

Susumu Yamazaki

Publication date: 1990

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/3/3/007

zbMATH Keywords

methods of integrationfinite continued fractionscompact Hermitian operatorasymptotic time behavioursmoment of distribution function

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Ordinary differential equations of infinite order (34A35) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials

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