Results 61 to 70 of about 1,488 (168)
A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS
Demonstratio Mathematica, 1993 The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
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A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES
Demonstratio Mathematica, 1995 A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
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Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C([0, ς]), equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented,
Samira Hadi Bonab +5 more
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σ-porous sets of generalised nonexpansive mappings [PDF]
, 2014 In the paper we show that many generic results obtained in the last 40 years in the field of fixed point theory, are consequences of one general theorem. As an application we get some extensions of them and we study the generic aspect of the existence of
Strobin, Filip
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Measures of Noncompactness in Regular Spaces
Canadian Mathematical Bulletin, 2014 AbstractPrevious results by the author on the connection between three measures of noncompactness obtained for Lp are extended to regular spaces of measurable functions. An example is given of the advantages of some cases in comparison with others. Geometric characteristics of regular spaces are determined.
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Measure of weak noncompactness under complex interpolation [PDF]
Studia Mathematica, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kryczka, Andrzej, Prus, Stanisław
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Structural Control and Health Monitoring, Volume 2026, Issue 1, 2026.Detecting cavity‐induced damage in subway tunnel structures remains a significant challenge due to the difficulty of full‐time and full‐area monitoring using traditional methods. This paper proposes a rapid approach for identifying and assessing the severity of cavity damage based on vibrations from moving trains.
Qi Li +3 more
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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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Clinical and Translational Science, Volume 18, Issue 12, December 2025.ABSTRACT Proteomics can identify pharmacodynamic (PD) biomarkers by detecting protein changes in response to drug treatment, providing insights into drug mechanism and biological effects. In this study, we profiled over 7000 plasma proteins to identify potential PD biomarkers for the interleukin‐5 (IL‐5) inhibitors mepolizumab and reslizumab, which are
Lakshmi Manasa S. Chekka +14 more
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CAPUTO TYPE FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL ERDÉLYI-KOBER TYPE INTEGRAL BOUNDARY CONDITIONS IN BANACH SPACES [PDF]
Surveys in Mathematics and its Applications, 2020 In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with Erdélyi-Kober type fractional integral boundary conditions.
Abdellatif Boutiara +2 more
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