Results 21 to 30 of about 165,965,242 (115)
Cauchy problems for functional evolution inclusions involving accretive operators
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
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International Journal of Differential Equations, 2014 We consider an impulsive neutral fractional integrodifferential equation with infinite delay in an arbitrary Banach space X. The existence of mild solution is established by using solution operator and Hausdorff measure of noncompactness.
Alka Chadha, Dwijendra N. Pandey
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Some notes on matrix mappings and their Hausdorff measure of noncompactness
Filomat, 2014 We consider the sequence spaces s0?(?B), s(c)? (?B) and s?(?B) with their topological properties, and give the characterizations of the classes of matrix transformations from them into any of the spaces ?1, ?1, c0 and c. We also establish some estimates for the norms of bounded linear operators defined by those matrix transformations ...
E. Malkowsky, F. Özger, A. Alotaibi
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Codimension formulae for the intersection of fractal subsets of Cantor spaces [PDF]
, 2015 We examine the dimensions of the intersection of a subset E of an m-ary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric.
Falconer, Kenneth John, Donoven, Casey
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Second order evolution equations with nonlocal conditions
Demonstratio Mathematica, 2017 In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak +2 more
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Filomat, 2022 In this article, we discuss the solvability of infinite systems of singular integral equations of two variables in the Banach sequence spaces C(I ? I, ?p) with I = [0, T], T > 0 and 1 < p < ? with the help of Meir-Keeler condensing operators and Hausdorff measure of noncompactness. With an example, we illustrate our findings.
Anupam Das +2 more
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Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips.
da Silva, Eduardo Brandani +1 more
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Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space
Advances in Difference Equations, 2021 A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem +2 more
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Compactness of quadruple band matrix operator and geometric properties
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and l∞(Q) into c0, c and l∞, respectively, with the notion of the Hausdorff measure of noncompactness.
Mustafa Cemil Bişgin +1 more
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Measure of noncompactness of linear operators between spaces of sequences that are $(\bar{N},q)$ summable or bounded [PDF]
, 2001 summary:In this paper we investigate linear operators between arbitrary BK spaces $X$ and spaces $Y$ of sequences that are $(\bar{N},q)$ summable or bounded.
Rakočević, V., Malkowsky, E.
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