Results 41 to 50 of about 1,298 (143)
A compactness result in approach theory with an application to the continuity approach structure
, 2015 We establish a compactness result in approach theory which we apply to obtain a generalization of Prokhorov's Theorem for the continuity approach structure.Comment: 10 ...
Baekeland +12 more
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Time-Dependent Attractor for the Oscillon Equation [PDF]
, 2010 We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Klein-Gordon equation in an expanding background, in one space dimension with periodic boundary conditions, with a nonlinear potential of arbitrary polynomial ...
Di Plinio, Francesco +2 more
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Long-Time Behavior of Solution for a Reactor Model
Advances in Mathematical Physics, 2015 In this paper, we would consider the dynamical behaviors of the chemical model represented by Satnoianu et al. (2001). Using the Kuratowski measure of noncompactness method, we prove the existence of global attractor for the weak solution semiflow of ...
Yantao Guo, Jianwei Shen, Qianqian Zheng
doaj +1 more source
Measures of weak noncompactness and nonlinear integral equations of convolution type
Journal of Mathematical Analysis and Applications, 1990 The authors prove that the equation \(x(t)=f[t,\int^{\infty}_{0}k(t- s)x(\phi (s))ds]\) has a monotone solution \(x\in L^ 1(0,\infty)\) if suitable conditions are imposed on the functions f, k, and \(\phi\). The proof builds on measures of weak noncompactness [\textit{F. S. De Blasi}, Bull. Math. Soc. Sci. Math. R. S. R. n. Ser.
Banaś, Józef, Knap, Zygmunt
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About the Existence of Integrable Solutions of a Functional-Integral Equation [PDF]
, 1991 Sin ...
Emmanuele, G.
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On the Volterra integral equation and axiomatic measures of weak noncompactness [PDF]
Mathematica Bohemica, 2001 Summary: We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.
openaire +2 more sources
, 2021 In this paper, we establish some existence results of weak solutions and pseudo-solutions for the initial value problem of the arbitrary (fractional) orders differential equation \[ %\frac{dx}{dt}~=~ f(t,D^\gamma x(t)),~\gamma \in (0,1), ~~t~\in~I=[0,T] %
H. Hashem, A. El-Sayed, M. A. Alenizi
semanticscholar +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
wiley +1 more source
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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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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