Proof of Peano's existence theorem without using the notion of the definite integral

DOI10.1016/0022-247X(77)90083-XzbMath0346.34003MaRDI QIDQ1233548

Johann Walter

Publication date: 1977

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

Mathematics Subject Classification ID

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

Related Items (1)

Lyapunov‐based consistent discretization of stable homogeneous systems

Cites Work

• Ein konstruktiver Beweis für die Lösbarkeit der Differentialgleichung \(y' = f(x,y)\) bei stetigem \(f(x,y)\)
• Elementary proofs of Peano's existence theorem
• On Elementary Proofs of Peano's Existence Theorems
• There is an Elementary Proof of Peano's Existence Theorem
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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