New study on the convergence of a formal transformation. II

DOI10.2748/TMJ/1178225456zbMath0845.34008OpenAlexW1976697724MaRDI QIDQ1908311

Masahiro Iwano

Publication date: 11 September 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225456

zbMATH Keywords

formal transformationstwo nonlinear differential equationstwo parameter family of bounded solutions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Growth and boundedness of solutions to ordinary differential equations (34C11) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (1)

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

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(*)
• Sur l'étude analytique des solutions d'un système d'équations différentielles dans le voisinage d'un point singulier d'indetermination. 1

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