Results 51 to 60 of about 507 (130)
Noncompact surfaces, triangulations and rigidity
Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 2097-2115, July 2025.Abstract Every noncompact surface is shown to have a (3,6)‐tight triangulation, and applications are given to the generic rigidity of countable bar‐joint frameworks in R3${\mathbb {R}}^3$. In particular, every noncompact surface has a (3,6)‐tight triangulation that is minimally 3‐rigid. A simplification of Richards' proof of Kerékjártó's classification
Stephen C. Power
wiley +1 more source
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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Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
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Neutral functional differential equations of second-order with infinite delays
Electronic Journal of Differential Equations, 2010 This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
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Fixed Point Theory and Applications, 2017 We apply the topological degree theory for condensing maps to study approximation of solutions to a fractional-order semilinear differential equation in a Banach space. We assume that the linear part of the equation is a closed unbounded generator of a C
Mikhail Kamenskii +3 more
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Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We provide partial solutions to two problems posed by Shehtman concerning the modal logic of the Čech–Stone compactification of an ordinal space. We use the Continuum Hypothesis to give a finite axiomatization of the modal logic of β(ω2)$\beta (\omega ^2)$, thus resolving Shehtman's first problem for n=2$n=2$. We also characterize modal logics
Guram Bezhanishvili +3 more
wiley +1 more source
International Journal of Differential Equations, 2020 Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi +3 more
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Approximate solvability method for nonlocal impulsive evolution equation
Open Mathematics, 2023 In this article, without assuming the compactness of semigroup, we deal with the existence and uniqueness of a mild solution for semilinear impulsive evolution equation with nonlocal condition in a reflexive Banach space by applying the approximate ...
Ma Weifeng, Li Yongxiang
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The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
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An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed +2 more
wiley +1 more source