Representation of the solution to a characteristic problem for a system of nonlinear higher-order differential equations as a Wiener integral

DOI10.1007/BF01086436zbMath0477.45004MaRDI QIDQ1160846

P. P. Kozak

Publication date: 1979

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

system of nonlinear differential equationsmultiple Wiener integralsFourier-Hermite seriessystem of nonlinear Volterra integral equations of the second kind

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• Orthogonal developments of functionals and related theorems in the Wiener space of functions of two variables
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Non-linear integral equations
• Nonlinear integral equations

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