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

DOI10.1007/BF02413605zbMath0325.34005MaRDI QIDQ1225194

Masahiro Iwano

Publication date: 1972

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 (4)

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) ⋮ Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. II ⋮ On an n-parameter family of solutions of a nonlinear n-system with an irregular type singularity

Cites Work

• Intégration analytique d'un système d'équations différentielles non linéaires dans le voisinage d'un point singulier. I, II
• Analytic expressions for bounded solutions of non-linear ordinary differential equations with an irregular type singular point
• Analytic theory of differential equations. The proceedings of the conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970
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