A basic theory for initial value problems of first order ordinary differential equations with \(L^p\)-Carathéodory functions and applications

DOI10.1016/J.JDE.2023.12.023OpenAlexW4390717246MaRDI QIDQ6189364

Kunquan Lan

Publication date: 8 February 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.12.023

zbMATH Keywords

solutioninitial value problemfixed point theoremBihari inequalityfirst order ordinary differential equation\(L^p\)-Carathéodory function

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Volterra integral equations (45D05) Pest management (92D45)

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