MEASURES OF NONCOMPACTNESS IN A SOBOLEV SPACE AND INTEGRO-DIFFERENTIAL EQUATIONS

DOI10.1017/S0004972716000320MaRDI QIDQ2976282

Reza Arab, Reza Allahyari, Ali Shole Haghighi

Publication date: 28 April 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

integro-differential equationsSobolev spacesmeasures of noncompactnessDarbo's fixed point theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (6)

The solvability of a class of system of nonlinear integral equations via measure of noncompactness ⋮ Solvability of a system of integral equations of Volterra type in the Fréchet space lp loc(R+) via measure of noncompactness ⋮ Solvability of a system of integral equations in two variables in the weighted Sobolev space $W^{1,1}_\omega(a,b)$ using a generalized measure of noncompactness ⋮ A system of high-order fractional differential equations with integral boundary conditions ⋮ On measure of noncompactness in Lebesgue and Sobolev spaces with an application to the functional integro-differential equation ⋮ A Solution of the System of Integral Equations in Product Spaces via Concept of Measures of Noncompactness

Cites Work

• Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
• Existence of solutions for a class of nonlinear Volterra singular integral equations
• Solvability of infinite systems of singular integral equations in Fréchet space of continuous functions
• Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT
• Inequivalent measures of noncompactness and the radius of the essential spectrum
• Local asymptotic stability for nonlinear quadratic functional integral equations
• Global Asymptotic Stability for a Stationary Solution of a System of Integro-Differential Equations Describing the Formation of Liver Zones
• Spline approximation for first Order fredholm delay integro-differential equations
• Caluculating Current Densities and Fields Produced by Shielded Magnetic Resonance Imaging Probes
• Existence and global attractivity of solutions of a nonlinear functional integral equation
• Existence of solutions for \(n\)th-order integro-differential equations in Banach spaces

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