Results 51 to 60 of about 173,309,611 (138)
Some inequalities and superposition operator in the space of regulated functions
Advances in Nonlinear Analysis, 2019 Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
Olszowy Leszek, Zając Tomasz
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Journal of Function Spaces, 2018 In this article, we prove the existence of solutions for the generalized Bagley-Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the
Lizhen Chen, Gang Li
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Taut Foliations and ℝ‐Covered Foliations With Transverse Measure on 3‐Manifolds
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a theorem that provides sufficient conditions for a taut foliation on closed 3‐manifolds to be, up to monotone equivalence, a perturbation of a fibration. We also give some conditions under which a taut foliation is ℝ‐covered.
Hamidou Dathe +3 more
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Controllability of nonlinear differential evolution systems in a separable Banach space
Electronic Journal of Differential Equations, 2012 In this article, we study the controllability of semilinear evolution differential systems with nonlocal initial conditions in a separable Banach space. The results are obtained by using Hausdorff measure of noncompactness and a new calculation method.
Bheeman Radhakrishnan +1 more
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Characterizations of compact operators on ℓp−type fractional sets of sequences
Demonstratio Mathematica, 2019 Among the sets of sequences studied, difference sets of sequences are probably the most common type of sets. This paper considers some ℓp−type fractional difference sets via the gamma function.
Özger Faruk
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Compact operators on sequence spaces associated with the Copson matrix of order α
Journal of Inequalities and Applications, 2021 In this work, we study characterizations of some matrix classes ( C ( α ) ( ℓ p ) , ℓ ∞ ) $(\mathcal{C}^{(\alpha )}(\ell ^{p}),\ell ^{\infty })$ , ( C ( α ) ( ℓ p ) , c ) $(\mathcal{C}^{(\alpha )}(\ell ^{p}),c)$ , and ( C ( α ) ( ℓ p ) , c 0 ) $(\mathcal{
M. Mursaleen, Osama H. H. Edely
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Neutral functional differential equations of second-order with infinite delays
Electronic Journal of Differential Equations, 2010 This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
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An Arzelà-Ascoli theorem for the Hausdorff measure of noncompactness
, 2013 6 ...
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Acoustic waves interacting with non–locally reacting surfaces in a Lagrangian framework
Mathematische Nachrichten, Volume 298, Issue 12, Page 3855-3892, December 2025.Abstract The paper deals with a family of evolution problems arising in the physical modeling of small amplitude acoustic phenomena occurring in a fluid, bounded by a surface of extended reaction. They are all derived in a Lagrangian framework. We study well‐posedness of these problems, their mutual relations, and their relations with other evolution ...
Enzo Vitillaro
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Fixed Point Theory and Applications, 2017 We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded generator of a C
Mikhail Kamenskii +3 more
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