Results 41 to 50 of about 165,981,085 (120)

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
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

Molecularly Regulated Dynamic Interfaces in 3D/2D Perovskites Enabled by Functional Pyridinium Ionic Liquids

Small, EarlyView.
1‐butyl‐4‐methylpyridinium tetrafluoroborate (BMPyBF4) interacts with excess PbI2 during film formation, driving the formation of a low‐dimensional perovskite phase and enabling the self‐organization of a 3D/2D interfacial structure. This molecularly regulated interface suppresses defect‐mediated recombination and facilitates interfacial charge ...
Bulent Alkan, Faranak Sadegh, Ji‐Youn Seo, Thanh‐Danh Nguyen, Muhittin Unal, Daniel Prochowicz, Pankaj Yadav, Mucahit Yilmaz, Servet Turan, Seckin Akin   +9 more
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

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

Cauchy’s problem and measure of noncompactness

, 2023
In This Work, we study the notion the measure of noncompactness and we applied to the fractional differential equations on the goal to proof the existence of solution using fixed point theory combined with the Kuratouskii measure of ...
Encadreur: GAGUI, Bachir, BELOUADAH, Assia   +1 more
core  

Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations

, 2020
In this research article, we introduce a new class of hybrid Langevin equation involving two distinct fractional order derivatives in the Caputo sense and Riemann–Liouville fractional integral.
Ahmed Salem, Mohammad Alnegga
core   +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

L∞$L^\infty$ compactness of solutions of quasilinear problems and applications

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya, M. C. M. Rezende, E. A. B. Silva   +2 more
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