On the perturbation of Volterra integro-differential equations

DOI10.1016/j.aml.2012.10.018zbMath1311.45015OpenAlexW2048886917MaRDI QIDQ2339014

Hamdullah Şevli, Jung, Soon-Mo, Sebaheddin Ṣevgin

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.10.018

zbMATH Keywords

perturbationHyers-Ulam stabilityVolterra integro-differential equationgeneralized Hyers-Ulam stabilityVolterra integral equation of the second kind

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (2)

Unnamed Item ⋮ Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations

Cites Work

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• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• On the stability of functional equations
• Uniform difference method for singularly perturbed Volterra integro-differential equations
• A characterization of Hyers-Ulam stability of first order linear differential operators.
• On some recent developments in Ulam's type stability
• Hyers-Ulam stability of linear differential equations of first order. II
• A fixed point approach to the stability of a Volterra integral equation
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• On the asymptoticity aspect of Hyers-Ulam stability of mappings

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