Best \(L_p\) approximate solutions of nonlinear integrodifferential equations

DOI10.1016/0021-9045(79)90069-8zbMath0416.41027OpenAlexW2043340756MaRDI QIDQ754416

Kenneth L. Wiggins

Publication date: 1979

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90069-8

zbMATH Keywords

integrodifferential equationsbest Lp approximate solutions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)

Cites Work

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• Applications of approximation theory to the initial value problem
• The approximate solution of Volterra integral equations
• Applications of approximation theory of differential equations with deviating arguments
• Successive approximations to solutions of Volterra integral equations
• Hyperpolynomial approximation of solutions of nonlinear integro- differential equations
• The approximate solution of \(y' = F(x,a)\)
• Best approximate solutions of nonlinear differential equations
• Approximate Solutions of Differential Equations with Deviating Arguments
• The Approximate Solution of Certain Nonlinear Differential Equations

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