Calculation of Volterra Kernels for Solutions of Nonlinear Differential Equations

DOI10.1137/S0036139999336037zbMath0977.34059OpenAlexW2028171560MaRDI QIDQ4507279

J. Leo van Hemmen, Erik G. F. Thomas, Werner M. Kistler

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139999336037

zbMATH Keywords

nonlinear systemVolterra kernelcausalnonanticipative

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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A method for informed selection of memory-length and nonlinearity-order parameters in Volterra-Wiener systems from exponential sweep excitations

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