Nonlinear integro-differential equations of Barabashin type: Topological and monotonicity methods

DOI10.1216/jiea/1181075954zbMath0956.45009OpenAlexW2049240620MaRDI QIDQ1353453

Chur-Jen Chen

Publication date: 12 March 2001

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075954

zbMATH Keywords

initial value problemboundary value problemoperator equationpartial integral operatorfixed point principlemonotonicity principleideal space\(K\)-normed spacesHammerstein integral operatornonlinear Barbashin equationsnonlinear integro-differential equations of Barbashin typeUryson integral operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Integro-differential operators (47G20)

Related Items

Solutions of nonlinear integro-partial differential equations by the method of \((G^\prime/G, 1/G)\)

Cites Work

• The spaces \(L^ p\), with mixed norm
• Monotone (nonlinear) operators in Hilbert space
• On the theory of partial integral operators
• Transport theory in \(L_ p\)-spaces
• Nonlinear maximal monotone operators in Banach space
• Punti uniti in trasformazioni a codominio non compatto
• Maximal monotone operators and nonlinear integral equations of Hammerstein type
• On the Maximality of Sums of Nonlinear Monotone Operators
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