Results 61 to 70 of about 496,079 (237)
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
Researches in Mathematics, 2014 We obtain generalization of Hardy and Littlewood inclusion theorem for some classes of functions being integrable with a weight on $[-1;1]$.
openaire +2 more sources
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
Approximate solutions of hybrid stochastic pantograph equations with Levy jumps [PDF]
, 2013 We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. We prove that the approximate solutions converge to the true solutions in 퐿 2 sense as well as in probability under local Lipschitz condition ...
Mao, Wei +3 more
core +1 more source
Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
doaj +1 more source
Caratheodory’s approximation for a type of Caputo fractional stochastic differential equations
Advances in Difference Equations, 2020 The Caratheodory approximation for a type of Caputo fractional stochastic differential equations is considered. As is well known, under the Lipschitz and linear growth conditions, the existence and uniqueness of solutions for some type of differential ...
Zhongkai Guo, Junhao Hu, Weifeng Wang
doaj +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao +3 more
wiley +1 more source
, 2019 We prove that a generalized Fefferman-Phong type condition on a pair of weights uand v is sufficient for the boundedness of the commutators of potential type operators from Lp(·)_v into Lq(·)_u.
Ramos, Wilfredo Ariel +5 more
core +1 more source
LIPSCHITZ-TYPE SPACES AND HARMONIC MAPPINGS IN THE SPACE [PDF]
, 2010 We obtain a sharp estimate of the derivatives of harmonic quasiconformal extension u = P [φ] of a Lipschitz map φ: Sn−1 → Rn. We also consider additional conditions which provide that u is Lipschitz on the unit ball; in particular, we give ...
Todorčević, Vesna +6 more
core +1 more source
An Optimal Lower Eigenvalue System
Abstract and Applied Analysis, 2011 An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained.
Yingfan Liu
doaj +1 more source