𝐶^{𝑟} convergence of Picard’s successive approximations

DOI10.1090/S0002-9939-99-04801-7zbMath0918.34002OpenAlexW1591950140MaRDI QIDQ4243679

Alexander J. Izzo

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04801-7

zbMATH Keywords

Picard's successive approximations\(C^r\) convergence

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (6)

Coordinates adapted to vector fields: canonical coordinates ⋮ Picard iteration algorithm combined with Gauss-Seidel technique for initial value problems ⋮ A symbolic algorithm for solving linear two-point boundary value problems by modified Picard technique ⋮ \(C^\infty\)-convergence of Picard's successive approximations to solutions of stochastic differential equations ⋮ Gevrey and Analytic Convergence of Picard'S Successive Approximations ⋮ Multi-parameter Carnot-Carathéodory balls and the theorem of Frobenius

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