Well-posedness results for differential and integral equations containing Henstock-Kurzweil integrable vector-valued functions

DOI10.1016/J.NA.2011.07.057zbMath1232.45011OpenAlexW2037908662MaRDI QIDQ642603

Seppo Heikkilä

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.057

zbMATH Keywords

fixed pointCauchy problemBanach spacenonlinear integral equationHenstock-Kurzweil integralunique solution.

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Nonlinear ordinary differential equations and systems (34A34)

Related Items (1)

On nonlinear distributional and impulsive Cauchy problems

Cites Work

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• Monotone convergence theorems for Henstock-Kurzweil integrable functions and applications
• Some peculiarities of the Henstock and Kurzweil integrals of Banach space-valued functions
• On singularity of Henstock integrable functions
• Differential and integral equations with Henstock-Kurzweil integrable functions
• Fixed Point Theory in Ordered Sets and Applications
• Linear Fredholm Integral Equations and the Integral of Kurzweil
• On the existence of solutions of nonlinear integral equations in Banach spaces and Henstock–Kurzweil integrals
• Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures

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