Most of the successive approximations do converge

DOI10.1016/0022-247X(74)90126-7zbMath0346.34002OpenAlexW1989450255MaRDI QIDQ1233546

Giovanni Vidossich

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(74)90126-7

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 (8)

TWO POROSITY RESULTS IN MONOTONIC ANALYSIS ⋮ Some generic properties of functional differential equations in Banach spaces ⋮ On generic asymptotic stability of differential equations in Banach space ⋮ Density of the set of local minimizers for a generic cost function ⋮ Generic properties of functional equations ⋮ Some generic properties of functional-differential equations of neutral type ⋮ Asymptotic behavior of approximate solutions to evolution equations in Banach spaces ⋮ Continuity moduli criteria for ODE's in a Banach space

Cites Work

• Unnamed Item
• A theorem on uniformly continuous extension of mappings defined in finite-dimensional spaces
• The generic property of existence of solutions of differential equations in Banach space
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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