The Hukuhara-Kneser property for a nonlinear integral equation

DOI10.1016/j.na.2007.10.028zbMath1155.45302OpenAlexW2027006839MaRDI QIDQ2378820

Le Thi Phuong Ngoc, Nguyen Thanh Long

Publication date: 14 January 2009

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.2007.10.028

zbMATH Keywords

topological degreecompletely continuous operatorHukuhara-Kneser property

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (2)

The existence of asymptotically stable solutions for a nonlinear functional integral equation with values in a general Banach space ⋮ A continuum of solutions in a Fréchet space of a nonlinear functional integral equation in N variables

Cites Work

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• Hukuhara-Kneser property for a nonlinear Dirichlet problem
• The Hukuhara-Kneser property for parabolic systems with nonlinear boundary conditions
• On a fixed point theorem of Krasnosel'skii type and application to integral equations
• Aronszajn's theorem for a parabolic partial differential equation
• The Hukuhara-Kneser property for quasilinear parabolic equations
• Structure of the set of solutions of an initial-boundary value problem for a parabolic partial differential equation in an unbounded domain

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