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)

DOI10.1007/BF01761502zbMath0488.34006OpenAlexW2093654655MaRDI QIDQ1165990

Masahiro Iwano

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01761502

zbMATH Keywords

bounded general solutionnonlinear first order n-systemuniformly convergent expansion

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)

Related Items (2)

Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point ⋮ 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
• 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(*)
• 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)
• Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. I
• Analytic integration of a system of nonlinear ordinary differential equations with an irregular type singularity. II
• Analytic expressions for bounded solutions of non-linear ordinary differential equations with an irregular type singular point
• A general solution of a system of nonlinear ordinary differential equations \(xy'=f(x,y)\) in the case when \(f^ y(0,0)\) is the zero matrix
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