On Kurzweil generalized ordinary differential equations

DOI10.1016/0022-0396(88)90076-9zbMath0666.34041OpenAlexW2043654266MaRDI QIDQ1117080

Tuan Seng Chew

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90076-9

zbMATH Keywords

transformationArtstein's questionKurzweil generalized ordinary differential equationKurzweil-Henstock nonlinear integral

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) General theory for ordinary differential equations (34A99)

Related Items (13)

The Riemann approach to stochastic integration using non-uniform meshes ⋮ A Cauchy Problem on Time Scales with Applications ⋮ The distributional Henstock-Kurzweil integral and applications ⋮ Impulsive nonlocal differential equations through differential equations on time scales ⋮ On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales ⋮ The distributional Henstock-Kurzweil integral and applications II ⋮ Existence theory for integrodifferential equations and Henstock-Kurzweil integral in Banach spaces ⋮ LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED KURZWEIL EQUATIONS ⋮ On solutions of differential equations in Banach spaces ⋮ The set of solutions of Volterra and Urysohn integral equations in Banach spaces ⋮ THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES ⋮ The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem ⋮ Variations and variational measures in integration theory and some applications

Cites Work

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• Topological dynamics of ordinary differential equations and Kurzweil equations
• Generalized ordinary differential equations and continuous dependence on a parameter
• Generalized ordinary differential equations
• Unicity of solutions of generalized differential equations
• Generalized Volterra integral equations
• A Unified Theory of Integration

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