Results 41 to 50 of about 175 (113)

Weak solutions for the dynamic equations $x^{\Delta(m)}(t) = f (t; x(t))$ on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper we prove the existence of weak solutions of the dynamic Cauchy problem \begin{equation*} \begin{split} x^{(\Delta m)}(t)&=f(t,x(t)),\quad t\in T, \\ x(0)&=0, \\ x^\Delta (0)&=\eta _1 ,\dots,x^{(\Delta (m-1))}(0)=\eta _{m-1},\quad \eta ...
Aneta Sikorska-Nowak, Samir Saker
doaj   +1 more source

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley   +1 more source

Leray Schauder Type Fixed Point Theorems in RWC-Banach Algebras and Application to Chandrasekhar Integral Equations

Pan-American Journal of Mathematics
In this paper, the existence of fixed point results of Leray Schauder type for the sum and the product of nonlinear operators acting on RWC-Banach algebras under weak topology is proved.
Khaled Ben Amara
doaj   +1 more source

Schaefer–Krasnoselskii fixed point theorems using a usual measure of weak noncompactness

Journal of Differential Equations, 2012
In [``A fixed point theorem of Krasnoselskii-Schaefer type'', Math. Nachr. 189, 23--31 (1998; Zbl 0896.47042)], \textit{T. A. Burton} and \textit{C. Kirk} proved the following theorem of Krasnoselskii-Schaefer type. Let \(\left( X,\| \cdot \| \right) \) be a Banach space and let \(A,B: X\rightarrow X\) be two continuous mappings.
Garcia-Falset, J., Latrach, K., Moreno Gálvez, Elena, Taoudi, M.-A.   +3 more
openaire   +2 more sources

Plastic Behavior and Design Methodology for Curved Members in Seismic Applications

JAPAN ARCHITECTURAL REVIEW, Volume 9, Issue 1, January–December 2026.
This study investigated the plastic behavior of curved members through static analysis and extensive parametric studies, focusing on initial elastic stiffness, plastic strength, slenderness effects, and section compactness. Estimation equations were developed and validated, contributing to the development of a connection design methodology that ...
Kun‐Sian Lin, Masahiro Kurata, Yutaro Kawasaki   +2 more
wiley   +1 more source

On different type of fixed point theorem for multivalued mappings via measure of noncompactness

, 2018
In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings.
KARAKAYA, Vatan, Nour El Houda Bouzara, Vatan Karakaya, BOUZARA, Nour El Houda   +3 more
core   +1 more source

Some Paranormed Sequence Spaces Which Involve Arithmetic Divisor Sum Function

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Let Dr, r ≥ 0, be a triangle and q = (qj) be a bounded sequence of strictly positive numbers. In this paper, we study the algebraic and topological properties of the paranormed sequence space ℓDr,q, generated by the triangle Dr over Maddox′s space ℓ(q). We identify the Schauder basis as well as the α‐, β‐, and γ‐duals of the space ℓDr,q. One section is
Ting Gan, Taja Yaying, Orhan Tuğ, Ömer Kisi, Qing-Bo Cai, Nikhil Khanna   +5 more
wiley   +1 more source

Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj  

Weak near convexity and smoothness of Banach spaces

, 2002
In this paper we study the weak near convexity and smoothness in Banach spaces. These concepts are introduced by using the De Blasi measure of weak noncompactness which is the weak translation of the Hausdorff measure of noncompactness.
Cabrera, I. J., Sadarangani, K. B.
core   +1 more source