On the existence of weak solutions of nonlinear integral equations in Banach spaces

DOI10.1007/S00009-015-0643-YzbMath1355.45011OpenAlexW2177876908MaRDI QIDQ727548

Baolin Li, Haide Gou

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0643-y

zbMATH Keywords

weak solutionsmeasure of weak noncompactnessnonlinear integral equationHenstock-Kurzweil-Pettis integralnonlinear Fredholm integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (1)

Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces

Cites Work

• Convergence theorems for the Henstock-Kurzweil-Pettis integral
• On \(x'=f(t,x)\) and Henstock-Kurzweil integrals
• Operator equations in Banach spaces relative to the weak topology
• On the set of solutions of the Cauchy problem in Banach spaces
• Impulsive retarded differential equations in Banach spaces via Bochner-Lebesgue and Henstock integrals
• Existence results for Urysohn integral inclusions involving the Henstock integral
• The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem
• THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
• Kneser's theorem for weak solutions of the Darboux problem in Banach spaces
• Volterra integral inclusions via Henstock-Kurzweil-Pettis integral
• On Integration in Vector Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the existence of weak solutions of nonlinear integral equations in Banach spaces