How to solve Hammerstein equations

DOI10.1216/JIEA/1181075392zbMath1156.45004OpenAlexW1965561266MaRDI QIDQ2476449

Chur-Jen Chen, Jürgen Appell

Publication date: 20 March 2008

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

Full work available at URL: https://doi.org/10.1216/jiea/1181075392

zbMATH Keywords

variational methodsfixed point theoremstopological methodsmonotonicity methodsnonlinear Hammerstein integral equationspositivity methods

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (8)

On a functional-integral equation with deviating arguments ⋮ On nonlinear integral equations in the space \(\Phi BV(I)\) ⋮ On the existence of the solution of Hammerstein integral equations and fractional differential equations ⋮ On regulated functions ⋮ On a perturbed functional integral equation of Urysohn type ⋮ Persistent Neural States: Stationary Localized Activity Patterns in Nonlinear Continuous n-Population, q-Dimensional Neural Networks ⋮ Existence and uniqueness of solutions to \(Y\)-systems and TBA equations ⋮ Numerical Dynamics of Integrodifference Equations: Global Attractivity in a $C^0$-Setting

Cites Work

• Elliptic partial differential equations of second order
• Dual variational methods in critical point theory and applications
• Implicit function theorems and nonlinear integral equations
• Hammerstein integral equations with nontrivial solutions
• Punti uniti in trasformazioni a codominio non compatto
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
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