General solution to a nonlinear \((m+n)\)-system with an irregular type singularity without Poincaré condition

DOI10.1007/BF01782615zbMath0940.34070MaRDI QIDQ1817913

Masahiro Iwano

Publication date: 4 January 2000

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

zbMATH Keywords

ordinary differential equationsgeneral solutionirregular type singularity

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Cites Work

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• Intégration analytique d'un système d'équations différentielles non linéaires dans le voisinage d'un point singulier. I, II
• On an n-parameter family of solutions of a nonlinear n-system with an irregular type singularity
• On general solution of a first-order non-linear differential equation of the form x(dy/dx)=y(lambda+f(x,y)) with negative rational lambda(*)
• New study on the convergence of a formal transformation. II

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