Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. II

DOI10.1007/BF02413727zbMath0325.34006MaRDI QIDQ1225195

Masahiro Iwano

Publication date: 1974

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (2)

On a general solution of a nonlinear 2-system of the form \(x^ 2\) dw/dx = Lambda w + xh(x,w) with a constant diagonal matrix Lambda of signature (1,1) ⋮ On a general solution of a nonlinear n-system of the form \(x^ 2\) dy/dx = (\(1_ n(\)mu) + \(x1_ n(\)alpha))y + xf(x,y) with a constant diagonal matrix \(1_ n(\)mu) of signature (m,n-m)

Cites Work

• Unnamed Item
• Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. I
• Analytic expressions for bounded solutions of non-linear ordinary differential equations with an irregular type singular point
• Intégration formelle d'un système d'équations différentielles non linéaires dans le voisinage d'un point singulier

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