Subfunctions and the initial-value problem for differential equations satisfying Caratheodory's hypotheses

DOI10.1016/0022-0396(70)90108-7zbMath0276.34003OpenAlexW1972231858MaRDI QIDQ1393651

Gerald S. Goodman

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-0396(70)90108-7

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential inequalities involving functions of a single real variable (34A40)

Related Items (11)

On Carathéodory’s conditions for the initial value problem ⋮ Solutions of a differential inclusion with unbounded right-hand side ⋮ Extremal solutions of measure differential equations ⋮ A generalization of Caratheodory's existence theorems for ordinary differential equations ⋮ On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations ⋮ On the Cauchy problem for first order discontinuous ordinary differential equations ⋮ The differential equation x=fox ⋮ First-order singular and discontinuous differential equations ⋮ Existence of extremal solutions by approximation to a first-order initial dynamic equation with Carathéodory's conditions and discontinuous non-linearities* ⋮ Solvability of a finite or infinite system of discontinuous quasimonotone differential equations ⋮ On first-order ordinary differential equations with nonnegative right-hand sides

Cites Work

• Un teorema sulle funzioni continue rispetto ad una e misurabili rispetto ad un'altra variabile
• Sur l'équation différentielle ordinaire du premier ordre dont le second membre satisfait aux conditions de Carathéodory
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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