Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces via Pachpatte’s Inequality

DOI10.1142/S1793557118500626zbMath1395.45016OpenAlexW2617681153MaRDI QIDQ4578327

P. U. Shikhare, Kishor D. Kucche

Publication date: 8 August 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557118500626

zbMATH Keywords

integral inequalityUlam-Hyers-Rassias stability

Mathematics Subject Classification ID

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

Related Items (15)

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations ⋮ Qualitative results for nonlinear integro-dynamic equations via integral inequalities ⋮ Hyers-Ulam stability of impulsive Volterra delay integro-differential equations ⋮ Existence, uniqueness and Ulam stabilities for nonlinear hyperbolic partial integrodifferential equations ⋮ Ulam stabilities for nonlinear Volterra delay integro-differential equations ⋮ Ulam stability of first-order nonlinear impulsive dynamic equations ⋮ On Ulam type of stability for stochastic integral equations with Volterra noise ⋮ On impulsive delay integrodifferential equations with integral impulses ⋮ Analysis of Volterra integrodifferential equations with nonlocal and boundary conditions via Picard operator ⋮ 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 ⋮ Ulam Stabilities via Pachpatte's Inequality for Volterra-Fredholm Delay Integrodifferential Equations in Banach Spaces ⋮ Existence and Ulam-Hyers-Mittag-Leffler stability results of \(\psi\)-Hilfer nonlocal Cauchy problem ⋮ Ulam type stability for conformable fractional differential equations ⋮ Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

Cites Work

• 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
• Semigroups of linear operators and applications to partial differential 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
• Hyers-Ulam stability of delay differential equations of first order
• Global existence for abstract nonlinear Volterra–Fredholm functional integrodifferential equation
• Circles holding typical convex bodies
• Stability of a nonlinear Volterra integro-differential equation via a fixed point approach
• On the Stability of the Linear Mapping in Banach Spaces
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