Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations
From MaRDI portal
Publication:1992071
DOI10.1007/s40096-017-0240-2zbMath1407.45004OpenAlexW2783031066MaRDI QIDQ1992071
Nayereh Gholamian, Mahnaz Khanehgir, Reza Allahyari
Publication date: 2 November 2018
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40096-017-0240-2
Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items (3)
On the measure of noncompactness in $L_p(\mathbb{R}^+)$ and applications to a product of $n$-integral equations ⋮ 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 ⋮ On measure of noncompactness in Lebesgue and Sobolev spaces with an application to the functional integro-differential equation
Cites Work
- A cone measure of noncompactness and some generalizations of Darbo's theorem with applications to functional integral equations
- Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
- The Kolmogorov-Riesz compactness theorem
- Existence of solutions for a class of nonlinear Volterra singular integral equations
- On the application of measure of noncompactness to the existence of solutions for fractional differential equations
- Solvability of infinite systems of singular integral equations in Fréchet space of continuous functions
- Functional analysis, Sobolev spaces and partial differential equations
- 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
- Measures of noncompactness in the study of solutions of nonlinear differential and integral equations
- Construction of measures of noncompactness of \(C^k(Omega)\) and \(C^k_0\) and their application to functional integral-differential equations
- A generalization of Darbo's theorem with application to the solvability of systems of integral equations
- Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
- Punti uniti in trasformazioni a codominio non compatto
- Solvability of infinite systems of second order differential equations in 𝑐₀ and ℓ₁ by Meir-Keeler condensing operators
- EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT
- Measure of noncompactness on <img width=72 height=35 src="http:/fbpe/img/cubo/v17n1/art07-1.jpg">and applications
- Direct numerical methods for first-order fredholm integro-differential equations
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations
