A note on Peano's theorem on time scales

DOI10.1016/J.AML.2010.06.020zbMath1202.34160OpenAlexW2049897823MaRDI QIDQ990812

Mieczysław Cichoń

Publication date: 1 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.06.020

zbMATH Keywords

time scalesBanach spacedynamic Cauchy problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Dynamic equations on time scales or measure chains (34N05)

Related Items (3)

A Cauchy Problem on Time Scales with Applications ⋮ Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces ⋮ Qualitative analysis of dynamic equations on time scales

Cites Work

• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Weak solutions for the dynamic Cauchy problem in Banach spaces
• Peano's theorem in Banach spaces
• Basic calculus on time scales and some of its applications
• On solutions of differential equations in Banach spaces
• Set-contractive mappings and difference equations in Banach spaces
• On Isotropic Extension of Anisotropic Tensor Functions
• On the nonexistence of solutions of differential equations in nonreflexive spaces
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