Existence, uniqueness and stability of solutions for a class of nonlinear integral equations under generalized Lipschitz condition

DOI10.1007/s13226-012-0019-yzbMath1259.45005OpenAlexW2072034198MaRDI QIDQ1758647

Omid Baghani, Mortaza Gachpazan

Publication date: 15 November 2012

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-012-0019-y

zbMATH Keywords

iterative methodHyers-Ulam stabilityBanach spacefixed point theoremnonlinear Volterra-type functional-integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items

A new contraction condition and its application to weakly singular Volterra integral equations of the second kind

Cites Work

• On the stability of functional equations
• A new approach to the stability of linear functional operators
• Existence of solutions for some nonlinear integral equations
• Hyers-Ulam stability of linear differential equations of first order
• Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• Hyers-Ulam stability of nonlinear integral equation
• A fixed point approach to the stability of a Volterra integral equation
• STABILITY OF THE MULTI-JENSEN EQUATION
• Existence theory for nonlinear Volterra integrodifferential and integral equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• On the Stability of the Linear Functional Equation
• Existence of solutions to singular integral equations
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