A continuum of solutions in a Fréchet space of a nonlinear functional integral equation in N variables

DOI10.1002/mana.201500008zbMath1354.45009OpenAlexW2339916852MaRDI QIDQ2832679

Nguyen Thanh Long, Le Thi Phuong Ngoc

Publication date: 11 November 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500008

zbMATH Keywords

fixed point theoremsBanach spaceFréchet spaceVolterra-Hammerstein integral equationnonlinear functional integral equationHukuhara-Kneser propertystructure theorem of Krasnoselskii and Perov

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Solvability, stability, smoothness and compactness of the set of solutions for anonlinear functional integral equation, The existence and compactness of the set of solutions for a 2-order nonlinear integrodifferential equation in N variables in a Banach space, The existence and compactness of the set of solutions for a nonlinear integrodifferential equation in N variables in a Banach space

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