Results 51 to 60 of about 4,822 (250)

Nonexplosion and Pathwise Uniqueness of Stochastic Differential Equation Driven by Continuous Semimartingale with Non-Lipschitz Coefficients

Journal of Mathematics, 2015
We study a class of stochastic differential equations driven by semimartingale with non-Lipschitz coefficients. New sufficient conditions on the strong uniqueness and the nonexplosion are derived for d-dimensional stochastic differential equations on Rd (
Jinxia Wang
doaj   +1 more source

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

Exceptional families of measures on Carnot groups

Analysis and Geometry in Metric Spaces, 2023
We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
doaj   +1 more source

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

Leader-Following Consensus of One-Sided Lipschitz Multi-Agent Systems with Delay and Stochastic Perturbation

Axioms
This paper is concerned with the leader-following consensus of time-delay multi-agent systems (MASs) with stochastic perturbation over a directed network.
Tuo Zhou
doaj   +1 more source

Uniqueness theorem of differential system with coupled integral boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The paper is devoted to study the uniqueness of solutions for a differential system with coupled integral boundary conditions under a Lipschitz condition. Our approach is based on the Banach's contraction principle.
Yujun Cui, Wenjie Ma, Xiangzhi Wang, Xinwei Su   +3 more
doaj   +1 more source

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

Journal of Mathematics, 2022
In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz-type continuous bifunctions are involved in a real Hilbert space.
Gaobo Li
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

Some Condition for Scalar and Vector Measure Games to Be Lipschitz [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
We provide a characterization for vector measure gamesν=f∘μinpNA∞, withμvector of nonatomic probability measures, analogous to the one of Tauman for games inpNA, and also provide a necessary and sufficient condition for a particular class of vector measure games to belong toAC∞.
CENTRONE, Francesca, A. Martellotti
openaire   +4 more sources

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