Gronwall Lemma Approach to the Hyers–Ulam–Rassias Stability of an Integral Equation

DOI10.1007/978-1-4419-0158-3_13zbMath1185.45015OpenAlexW30800474MaRDI QIDQ5188748

Ioan A. Rus

Publication date: 5 March 2010

Published in: Nonlinear Analysis and Variational Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-0158-3_13

zbMATH Keywords

Hyers-Ulam-Rassias stabilityVolterra and Fredholm integral equationsGronwall lemmas

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (10)

Ulam-Hyers Stability for Operatorial Equations ⋮ On approximate solutions of some delayed fractional differential equations ⋮ Ulam Stability of Zero Point Equations ⋮ Ulam-Hyers-Rassias stability of a nonlinear stochastic Ito-Volterra integral equation ⋮ Hyers–Ulam Stability for Differential Equations and Partial Differential Equations via Gronwall Lemma ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ On approximate solutions of the generalized Volterra integral equation ⋮ Ulam–Hyers–Mittag-Leffler stability of fractional-order delay differential equations ⋮ Results and Problems in Ulam Stability of Operatorial Equations and Inclusions ⋮ The inhomogeneous Euler equation and its Hyers-Ulam stability

Cites Work

• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• A fixed point approach to the stability of a Volterra integral equation
• Stability of functional equations in several variables
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