Results 31 to 40 of about 165,981,085 (120)
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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Filomat, 2023 In the present paper we introduce a new concept of measuring, called the measure of non-almost weak noncompactness. We use this measure to characterize the almost weakly compact operators and to investigate the generalized Schechter essential spectrum of the sum of two bounded linear operators.
Rabeb Aydi, Bilel Krichen
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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.
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Nonlinear Integrodifferential Equations of Mixed Type in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, 2007 We prove two existence theorems for the integrodifferential equation of mixed type: x'(t)=f(t,x(t),∫0tk1(t,s)g(s,x(s))ds,∫0ak2(t,s)h(s,x(s))ds), x(0)=x0, where in the first part of this paper f, g, h, x are functions with values in a Banach space E and ...
Aneta Sikorska-Nowak, Grzegorz Nowak
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On interpolation of the measure of noncompactness [PDF]
, 2006 We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method.
Luz M. Fernández-cabrera +5 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
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On measure of noncompactness and application to global attractors of operator semigroups
, 2021 Based on the recent development of the theory of measures of noncompactness, we rst show a representation theorem of measures of noncompactness dened on Banach spaces.
Zheng, Zheming +4 more
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Weak noncompactness in fractional differential boundary problems: existence results [PDF]
Journal of Mahani Mathematical ResearchThis paper addresses the existence of solutions for a class of fractional differential boundary value problems. The main novelty of this paper lies in providing a new analytical framework to prove solution existence for this class of equations.
Somayeh Saiedinezhad +2 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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The class of F-contraction mappings with a measure of noncompactness
, 2017 In this chapter we review a class of contraction conditions, which are largely used to obtain interesting generalizations of the Banach fixed-point theorem in various abstract settings.
Francesca Vetro +3 more
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