Results 31 to 40 of about 110 (93)

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
doaj   +1 more source

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

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
wiley   +1 more source

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

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
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

Kazdan–Warner obstructions for a fourth‐order boundary problem

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez, Azahara DelaTorre   +1 more
wiley   +1 more source

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source