On a measure of noncompactness in the space of functions with tempered increments

DOI10.1016/j.jmaa.2015.11.033zbMath1355.46030OpenAlexW2277601610MaRDI QIDQ898881

Rafał Nalepa, Józef Banaś

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.033

zbMATH Keywords

measure of noncompactnessrelative compactnessfixed point theorem of Darbo typeHölder function spacequadratic integral equation of Hammerstein typespace of functions with tempered increments

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Other nonlinear integral equations (45G10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (12)

Some generalizations of Darbo's theorem and applications to fractional integral equations ⋮ On a measure of noncompactness in the Holder space \(C^{k, \gamma}(\varOmega)\) and its application ⋮ A survey on measures of noncompactness with some applications in infinite systems of differential equations ⋮ A measure of noncompactness in the space of functions with tempered increments on the half-axis and its applications ⋮ On a measure of noncompactness in the space of regulated functions and its applications ⋮ Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness ⋮ Measures of noncompactness in the space of regulated functions \(R (J, \mathbb{R}^{\infty})\) and its application to some nonlinear Infinite systems of fractional differential equations ⋮ Existence of solutions of nonlinear Fredholm-type integral equations in Hölder space ⋮ A family of measures of noncompactness in the Hölder space \(C^{n, \gamma}(\mathbb{R}_+)\) and its application to some fractional differential equations and numerical methods ⋮ Nonlocal integrated solutions for a class of abstract evolution equations ⋮ Urysohn and Hammerstein operators on Hölder spaces ⋮ Weak solutions for nonlinear fractional differential equation with fractional separated boundary conditions in Banach spaces

Cites Work

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• Punti uniti in trasformazioni a codominio non compatto
• Bounded Variation and Around
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations

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