Measure of noncompactness on <img width=72 height=35 src="http:/fbpe/img/cubo/v17n1/art07-1.jpg">and applications
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Publication:3450639
DOI10.4067/S0719-06462015000100007zbMath1327.47043MaRDI QIDQ3450639
Asadollah Aghajani, Ali Shole Haghighi, Donal O'Regan
Publication date: 6 November 2015
Published in: Cubo (Temuco) (Search for Journal in Brave)
Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Related Items (10)
On the measure of noncompactness in $L_p(\mathbb{R}^+)$ and applications to a product of $n$-integral equations ⋮ Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\) ⋮ Solvability of Gripenberg's equations of fractional order with perturbation term in weighted LpL_p-spaces on R+{\mathbb{R}}^+ ⋮ 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 ⋮ Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations ⋮ Study on the integro-differential equations on \(C^1(\mathbb{R}_+)\) ⋮ On measure of noncompactness in Lebesgue and Sobolev spaces with an application to the functional integro-differential equation ⋮ Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations ⋮ A family of measures of noncompactness in the spaceLploc(ℝN) and its application to some nonlinear convolution type integral equations
Cites Work
- On a perturbed functional integral equation of Urysohn type
- The Kolmogorov-Riesz compactness theorem
- Existence of solutions for a class of nonlinear Volterra singular integral equations
- Global asymptotic stability of solutions of a functional integral equation
- Functional analysis, Sobolev spaces and partial differential equations
- Punti uniti in trasformazioni a codominio non compatto
- Existence and global attractivity of solutions of a nonlinear functional integral equation
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