Results 71 to 80 of about 2,706 (176)
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
wiley +1 more source
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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Convergence Theorems and Measures of Noncompactness for Noncompact Urysohn Operators in Ideal Spaces
Journal of Integral Equations and Applications, 2004 The author considers the following nonlinear integral equation of Urysohn type \[ A(f)x(t):= \int_S f(t, s,x(s))\,ds,\quad t\in T, \] where the integral is in the Bochner sense. He establishes an estimate for the measure of noncompactness of the Urysohn operator and proves a convergence theorem for a sequence of simpler Urysohn operators which are ...
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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
wiley +1 more source
پژوهشهای ریاضی, 2021 In this paper, we introduce a Fréchet space and define a measure of noncompactness on it. For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite ...
Hogat Allah Amiri kayvanloo +2 more
doaj
Measures of noncompactness on the standard hilbert C*-module
Filomat, 2019 We define a measure of noncompactness ? on the standard Hilbert C*-module l2(A) over a unital C*-algebra, such that ?(E) = 0 if and only if E is A-precompact (i.e. it is ?-close to a finitely generated projective submodule for any ? > 0) and derive its properties.
Dragoljub Keckic, Zlatko Lazovic
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Compactifications of strata of differentials
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
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Solvability of second order linear differential equations in the sequence space n(ϕ) $n(\phi)$
Advances in Difference Equations, 2018 We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in the sequence space n(ϕ) $n(\phi)$.
Abdullah Alotaibi +2 more
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Semigroups of operators and measures of noncompactness
Journal of Functional Analysis, 1971 AbstractIt is observed that the perturbation class of an open semigroup in a Banach algebra is a closed two-sided ideal. Certain seminorms on the algebra of bounded operators are introduced; these seminorms induce norms on the quotient algebra modulo the ideal of compact operators.
Lebow, Arnold, Schechter, Martin
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Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
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