Volterra-Stieltjes integral operators

DOI10.1016/j.mcm.2003.02.014zbMath1083.45007OpenAlexW2001169107MaRDI QIDQ2486808

Donal O'Regan, Józef Banaś

Publication date: 17 August 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.02.014

zbMATH Keywords

Compact operatorMonotonic functionContinuous monotone solutionsFunction of bounded variationVolterra-Stieltjes integral operator

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Integral operators (45P05) Integral operators (47G10)

Related Items

Weak solutions of a coupled system of Urysohn-Stieltjes functional (delayed) integral equations, Approximate solution of the system of linear Volterra-Stieltjes integral equations of the second kind, Some properties of nonlinear Volterra--Stieltjes integral operators, Von Neumann indices and classes of positive definite functions, The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders, On the solutions of a delay functional integral equation of Volterra-Stieltjes type, Stability for linear Volterra difference equations in Banach spaces, Existence of solution for a coupled system of Urysohn-Stieltjes functional integral equations, A new approach to the theory of functional integral equations of fractional order, Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type, Unnamed Item, Approximate solution of Volterra-Stieltjes linear integral equations of the second kind with the generalized trapezoid rule, Unnamed Item, On solutions of a quadratic integral equation of Hammerstein type, Chandrasekhar quadratic and cubic integral equations via Volterra-Stieltjes quadratic integral equation, Unnamed Item, On the weak solutions of a coupled system of Volterra--Stieltjes integral equations, Unnamed Item, Unnamed Item, Fractional differential equations and Volterra-Stieltjes integral equations of the second kind

Cites Work

• Existence principles for nonlinear resonant operator and integral equations
• Existence theorems for an integral equation of the Chandrasekhar H- equation with perturbation
• Some properties of Uryson-Stieltjes integral operators
• On a class of Urysohn-Stieltjes quadratic integral equations and their applications
• Integral equations arising in the kinetic theory of gases
• Integral operators of Volterra-Stieltjes type, their properties and applications
• Solvability of Volterra-Stieltjes operator-integral equations and their applications
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