Ulam Stabilities via Pachpatte's Inequality for Volterra-Fredholm Delay Integrodifferential Equations in Banach Spaces

DOI10.1285/i15900932v38n1p67zbMath1394.45011OpenAlexW2803133314MaRDI QIDQ4576041

Kishor D. Kucche, P. U. Shikhare

Publication date: 12 July 2018

Full work available at URL: http://siba-ese.unile.it/index.php/notemat/article/view/19181

zbMATH Keywords

integral inequalityUlam-Hyers stability

Mathematics Subject Classification ID

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

Related Items (8)

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations ⋮ Existence, uniqueness and Ulam stabilities for nonlinear hyperbolic partial integrodifferential 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 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
• Semigroups of linear operators and applications to partial differential equations
• Inequalities for differential and integral equations
• Ulam stability for a delay differential equation
• A fixed point approach to the stability of a Volterra integral equation
• Hyers-Ulam stability of delay differential equations of first order
• Global existence for abstract nonlinear Volterra–Fredholm functional integrodifferential equation
• Stability of a nonlinear Volterra integro-differential equation via a fixed point approach
• One-Parameter Semigroups for Linear Evolution Equations
• Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces via Pachpatte’s Inequality

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