Results 71 to 80 of about 7,649 (300)

A Sufficient Condition for the CH-Rectifiability of Lipschitz Curves [PDF]

, 2006
Let γ : [a, b] → R1+k be Lipschitz and H >= 2 be an integer number. Then a sufficient condition, expressed in terms of further accessory Lipschitz maps, for the CH-rectifiability of γ ([a, b]) is ...
Delladio, Silvano
core  

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

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

Extragradient subgradient methods for solving bilevel equilibrium problems

Journal of Inequalities and Applications, 2018
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong ...
Tadchai Yuying, Bui Van Dinh, Do Sang Kim, Somyot Plubtieng   +3 more
doaj   +1 more source

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

Impulsive stochastic fractional differential equations driven by fractional Brownian motion

Advances in Difference Equations, 2020
In this research, we study the existence and uniqueness results for a new class of stochastic fractional differential equations with impulses driven by a standard Brownian motion and an independent fractional Brownian motion with Hurst index 1 ...
Mahmoud Abouagwa, Feifei Cheng, Ji Li
doaj   +1 more source

Differentiable functions which do not satisfy a uniform Lipschitz condition of any order

, 1991
The aim of this paper is to construct two kinds of absolutely continuous functions. One is differentiable everywhere but does not satisfy a uniform Lipschitz condition of any order on some large class of subintervals, while the other is differentiable ...
Masayoshi Hata
core   +1 more source

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

Mathematical Methods in the Applied Sciences, EarlyView.
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

Optimality and existence for Lipschitz equations

International Journal of Mathematics and Mathematical Sciences, 1988
Solutions of certain boundary value problems are shown to exist for the nth order differential equation y(n)=f(t,y,y′,…,y(n−1)), where f is continuous on a slab (a,b)×Rn and f satisfies a Lipschitz condition on the slab. Optimal length subintervals of (a,
Johnny Henderson
doaj   +1 more source

Fast and Robust Diffusion Posterior Sampling for MR Image Reconstruction Using the Preconditioned Unadjusted Langevin Algorithm

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose The Unadjusted Langevin Algorithm (ULA) in combination with diffusion models can generate high quality MRI reconstructions with uncertainty estimation from highly undersampled k‐space data. However, sampling methods such as diffusion posterior sampling (DPS) or likelihood annealing suffer from long reconstruction times and the need for
Moritz Blumenthal, Tina Holliber, Jonathan I. Tamir, Martin Uecker   +3 more
wiley   +1 more source