Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation

DOI10.1186/s13660-020-02529-zzbMath1495.47126OpenAlexW3128959432WikidataQ115241557 ScholiaQ115241557MaRDI QIDQ2072773

Souad Ayadi, Ozgur Ege, Chun-Gil Park

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02529-z

zbMATH Keywords

fixed pointdifferential equationVolterra integral equationUlam-Hyers stability

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Applications of operator theory to differential and integral equations (47N20) Volterra integral equations (45D05)

Related Items (1)

Unnamed Item

Cites Work

• A characterization of Hyers-Ulam stability of first order linear differential operators.
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Hyers-Ulam stability of linear differential equations of first order.
• Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• Weighted space method for the stability of some nonlinear equations
• A fixed point approach to the stability of a nonlinear volterra integrodifferential equation with delay
• Stability of a nonlinear Volterra integro-differential equation via a fixed point approach
• Ulam-Hyers-Stability for nonlinear fractional neutral differential equations
• ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
• Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• On the Stability of the Linear Functional Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation