The set of solutions for abstract Volterra equations in \(L^p([0,a],\mathbb{R}^m)\)

DOI10.1016/S0893-9659(99)00114-7zbMath0974.45008MaRDI QIDQ1975298

D. M. Bedivan, Donal O'Regan

Publication date: 9 April 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Banach spaceHammerstein integral equationabstract Volterra equationstopological structure of the solution set

Mathematics Subject Classification ID

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

Related Items (5)

Stability analysis of causal integral evolution impulsive systems on time scales ⋮ Analysis of fractional integro causal evolution impulsive systems on time scales ⋮ Fixed point sets for abstract volterra operators on fréchet spaces ⋮ Fractional semilinear equations with causal operators ⋮ Existence of global solutions for some classes of integral equations

Cites Work

• Existence principles for nonlinear resonant operator and integral equations
• Topological degree and nonlinear mappings of analytic type in Banach spaces
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