Ulam stabilities for nonlinear Volterra delay integro-differential equations

DOI10.3103/S1068362319050042zbMath1443.45009OpenAlexW2982014627MaRDI QIDQ2173219

Kishor D. Kucche, P. U. Shikhare

Publication date: 22 April 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362319050042

zbMATH Keywords

Hyers-Ulam-Rassias stabilityHyers-Ulam stabilityintegral inequalityPicard operatorVolterra delay integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Stability theory for integral equations (45M10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (17)

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations ⋮ Ulam-Hyers-Mittag-Leffler stability for a \(\psi \)-Hilfer problem with fractional order and infinite delay ⋮ A ROBUST ITERATIVE APPROACH FOR SOLVING NONLINEAR VOLTERRA DELAY INTEGRO–DIFFERENTIAL EQUATIONS ⋮ Hyers-Ulam stability of impulsive Volterra delay integro-differential equations ⋮ Ulam stability of first-order nonlinear impulsive dynamic equations ⋮ Unnamed Item ⋮ On impulsive delay integrodifferential equations with integral impulses ⋮ Asymptotic behaviors of solutions of a class of time-varying differential equations ⋮ A faster iterative method for solving nonlinear third-order BVPs based on Green's function ⋮ Ulam stabilities of nonlinear iterative integro-differential equations ⋮ Analysis of Volterra integrodifferential equations with nonlocal and boundary conditions via Picard operator ⋮ Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator ⋮ The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam ⋮ Ulam's type stability of impulsive delay integrodifferential equations in Banach spaces ⋮ Ulam-Hyers-Rassias stability of neutral functional integrodifferential evolution equations with non-instantaneous impulses on an unbounded interval ⋮ Unnamed Item ⋮ Ulam type stability for conformable fractional differential equations

Cites Work

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• On existence results and qualitative properties of mild solution of semilinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces
• Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations
• Inequalities for differential and integral equations
• Global existence for functional semilinear Volterra integrodifferential equations in Banach spaces
• Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces
• Ulam stability for a delay differential equation
• Hyers-Ulam stability of nonlinear integral equation
• Existence of solution via integral inequality of Volterra-Fredholm neutral functional integrodifferential equations with infinite delay
• A fixed point approach to the stability of a Volterra integral equation
• Hyers-Ulam stability of delay differential equations of first order
• Stability of a nonlinear Volterra integro-differential equation via a fixed point approach
• Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces via Pachpatte’s Inequality
• Circles holding typical convex bodies

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