Results 51 to 60 of about 67,051 (221)

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

2-Local uniform isometries between complex Lipschitz algebras

Annals of Functional Analysis, 2020
A mapping \(T\) between two normed spaces \(\mathcal{X},\mathcal{Y}\) is called a 2-local isometry if, for every \(x,y\in \mathcal{X}\), there exists a surjective linear isometry \(T_{x,y}\colon\mathcal{X}\to\mathcal{Y}\) such that \(T_{x,y}(x)=T(x)\) and \(T_{x,y}(y)=T(y)\). This notion was introduced by \textit{P. Šemrl} [Proc. Am. Math. Soc. 125, No.
Alimohammadi, Davood, Bagheri, Reyhaneh
openaire   +1 more source

Lipschitz free spaces over locally compact metric spaces [PDF]

Studia Mathematica, 2021
27 pages. Changes to names of some objects and addition of informal discussion of semi-embedding theorem.
openaire   +2 more sources

Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz, Felipe Rivero, Carlos R. Takaessu Jr.   +2 more
wiley   +1 more source

Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential

Abstract and Applied Analysis, 2013
We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
Kaimin Teng
doaj   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like

Abstract and Applied Analysis, 2013
A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei, Ge Bin
doaj   +1 more source

Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
doaj   +1 more source

Lipschitz-continuity of the integrated density of states for Gaussian random potentials

, 2011
The integrated density of states of a Schroedinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive mean, is locally uniformly Lipschitz-continuous. This is
Ivan Veselić, T. Hupfer, W. Fischer
core   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source