Results 61 to 70 of about 464,112 (279)

Approximate Solution of an Optimal Control Dot Mobile Problem for a Nonlinear Hyperbolic Equation

Моделирование и анализ информационных систем, 2014
In this article, we consider the approximate solution of an optimal control dot mobile problem for a system of nonlinear partial hyperbolic and ordinary differential equations with initial and boundary value conditions and a nonlinear optimality ...
T. K. Yuldashev
doaj   +1 more source

Nonlinear boundary value problems and orlicz spaces [PDF]

Annali di Matematica Pura ed Applicata, 1977
Usando metodi dell'analisi funzionale si ottengono teoremi di esistenza delle soluzioni di un'equazione della forma Lx+Nx=0 dove L e un operatore differenziale ordinario lineare autoaggiunto di ordine pari, positivo, mentre N e un operatore non necessariamente lineare.
Kannan, R., Schuur, J. D.
openaire   +2 more sources

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source

A Stochastic Generalized Ginzburg-Landau Equation Driven by Jump Noise

, 2017
This paper is concerned with the stochastic generalized Ginzburg-Landau equation driven by a multiplicative noise of jump type. By a prior estimate, weak convergence and monotonicity technique, we prove the existence and uniqueness of the solution of an ...
Gao, Hongjun, Lin, Lin
core   +1 more source

Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?

Advanced Functional Materials, EarlyView.
This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee, Yunseo Kim, Hyeong‐ku Jo, Dongjoon Yoon, Byeonghyeok Im, WonJeong Yu, Eui‐Rim On, Changhwan Lee   +7 more
wiley   +1 more source

Unique solvability for a second order nonlinear system via two global inversion theorems

Electronic Journal of Differential Equations, 2008
In this paper we use two global inversion theorems to establish the existence and uniqueness for a nonlinear second order homogeneous Dirichlet system.
Robert Dalmasso
doaj  

Initial-boundary value problems for discrete evolution equations: discrete linear Schrodinger and integrable discrete nonlinear Schrodinger equations

, 2008
We present a method to solve initial-boundary value problems for linear and integrable nonlinear differential-difference evolution equations. The method is the discrete version of the one developed by A. S.
Ablowitz M J, Ablowitz M J, Ablowitz M J, Adler V, Belokolos E D, Bikbaev R F, Calogero F, de Monvel A Boutet, Ehrenpreis L, Faddeev L D, Fokas A S, Gino Biondini, Guenbo Hwang, Henkin G, Manakov S V, Manakov S V, Maruno K-I, Palamodov V P, Sabatier P C, Skylanin E K, Vekslerchik V E, Zakharov V E, Zakharov V E   +22 more
core   +2 more sources

Solutions of Nonlinear Singular Boundary Value Problems [PDF]

Journal of Applied Analysis, 2005
The author considers the second-order boundary value problem \[ u'' + f(t,u) = 0, \quad u(0) = u(1) = 0, \] where \(f : (0,1) \times \mathbb{R}^k \to \mathbb{R}^k\) is singular at both end points. In addition, \(f\) is either a Carathéodory or a continuous function.
openaire   +1 more source

Multi‐Scale Interface Engineering of MXenes for Multifunctional Sensory Systems

Advanced Functional Materials, EarlyView.
MXenes, as two‐dimensional transition metal carbides and nitrides, demonstrate remarkable capabilities for multifunctional sensing applications. This review systematically examines multi‐scale interface engineering approaches that enhance sensing performance, enable diverse detection functionalities, and improve system‐level compatibility in MXene ...
Jiaying Liao, Sin‐Yi Pang, Jianhua Hao
wiley   +1 more source

Solvability of a three-point nonlinear boundary-value problem

Electronic Journal of Differential Equations, 2010
Using the Leray Schauder nonlinear alternative, we prove the existence of a nontrivial solution for the three-point boundary-value problem $$displaylines{ u''+f(t,u)= 0,quad 0<t<1 cr u(0)= alpha u'(0),quad u(1)=eta u'(eta ), }$$ where $eta ...
Assia Guezane-Lakoud, Smail Kelaiaia
doaj