Discontinuous systems and the Henstock-Kurzweil integral

DOI10.1006/jmaa.1998.6149zbMath0936.34003OpenAlexW2043456072MaRDI QIDQ1276330

Baolin Li, Congxin Wu, Lee, E. Stanley

Publication date: 27 April 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6149

zbMATH Keywords

existenceuniquenessinitial value problemHenstock-Kurzweil integralOsgood functiongeneralized Carathéodory solution

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Discontinuous ordinary differential equations (34A36)

Related Items (2)

On solutions of differential equations in Banach spaces ⋮ The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem

Cites Work

• On the solution of \((dy/dx)_{ap}=f(x,y)\)
• Gronwall's inequality and the Henstock integral
• Discontinuous differential equations. II
• Generalized ordinary differential equations and continuous dependence on a parameter
• Definitions of Riemann Type of the Variational Integrals
• A Better Convergence Theorem for Henstock Integrals
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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