Results 71 to 80 of about 1,488 (168)

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 ...
openaire   +2 more sources

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
wiley   +1 more source

Abstract random differential equations with state-dependent delay using measures of noncompactness

Nonlinear Analysis
This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay.
Amel Heris, Zohra Bouteffal, Abdelkrim Salim, Mouffak Benchohra, Erdal Karapınar   +4 more
doaj   +1 more source

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
openaire   +4 more sources

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
wiley   +1 more source

An Existence Result for Nonlocal Impulsive Second-Order Cauchy Problems with Finite Delay

Abstract and Applied Analysis, 2013
We deal with the existence of mild solutions of a class of nonlocal impulsive second-order functional differential equations with finite delay in a real Banach space .
Fang Li, Huiwen Wang
doaj   +1 more source

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
openaire   +1 more source

Explicit height estimates for CM curves of genus 2

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García   +2 more
wiley   +1 more source

Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures

Discrete Dynamics in Nature and Society, 2012
The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the ...
Wen-Xue Zhou, Jigen Peng
doaj   +1 more source

Fractional dynamic system simulating the growth of microbe. [PDF]

Adv Differ Equ, 2021
Hadid SB, Ibrahim RW.
europepmc   +1 more source