On the existence and uniqueness of solutions to dynamic equations

DOI10.3906/mat-1612-40zbMath1424.34323OpenAlexW2801764072MaRDI QIDQ4634224

Başak Karpuz

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1612-40

zbMATH Keywords

time scalesdynamic equationsCauchy-Peano theoremPicard-Lidelof theorem

Mathematics Subject Classification ID

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

Related Items (4)

Dynamic local and nonlocal initial value problems in Banach spaces ⋮ Nonoscillation of first-order dynamic equations with several delays ⋮ Unnamed Item ⋮ Existence results for solutions to discontinuous dynamic equations on time scales

Cites Work

• The theory of differential equations. Classical and qualitative
• Integration on time scales.
• Volterra theory on time scales
• Existence and comparison results for dynamic systems on a time scale
• An introduction to ordinary differential equations
• Unnamed Item
• Unnamed Item

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