Results 41 to 50 of about 10,322 (241)
Some properties of nonlinear Volterra-Stieltjes integral operators
Computers & Mathematics with Applications, 2005 We study some properties of the nonlinear Volterra-Stieltjes integral operator of general form which is defined with help of the Stieltjes integral with the kernel depending on two variables. The results obtained in the paper generalize those obtained earlier for the Volterra-Stieltjes integral operators having less general form.
Banaś, J., Mena, J. Caballero
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On the ODE/IM correspondence for minimal models [PDF]
, 2008 Within the framework of the ODE/IM correspondence, we show that the minimal conformal field theories with c < 1 emerge naturally from the monodromy properties of certain families of ordinary differential ...
Dunning, Clare +3 more
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The nonlocal problem for fractal diffusion equation
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2023 Over the past few decades, the theory of pseudodifferential operators (PDO) and equations with such operators (PDE) has been intensively developed. The authors of a new direction in the theory of PDE, which they called parabolic PDE with non-smooth ...
Ярослав Михайлович Дрінь +2 more
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Nonlinear spectral theory [PDF]
, 2004 This book provides a comprehensive and self-contained treatment of the theory, methods, and applications of nonlinear spectral theory.The first chapter briefly recalls the definition and properties of the spectrum and several subspectra for bounded ...
De Pascale, E +3 more
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Fredholm properties and nonlinear Dirichlet problems for mixed type operators
Journal of Mathematical Analysis and Applications, 2013 AbstractFor a class of linear partial differential operators of mixed elliptic–hyperbolic type with homogeneous Dirichlet data on the entire boundary of suitable planar domains, we exploit the recent spectral theory of Lupo et al. [2] to establish a Fredholm alternative for weak solutions of the linear Dirichlet problem.
LUPO, DANIELA ELISABETTA +2 more
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Directed evolution of enzymes at the crossroads of tradition and innovation
FEBS Open Bio, EarlyView.An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
wiley +1 more source
On one property of inverses of nonlinear operators associated with M-matrices [PDF]
Operators and Matrices, 2014 An operator from \(\mathbb{R}^n\) to \(\mathbb{R}^n\) of the structure \(M(x)=Ax+F(x)\), where \(A\) is an \(M\)-matrix and \(F(x)\) is a nonlinear operator from \(\mathbb{R}^n\) to \(\mathbb{R}^n\) is considered. The main result of this paper is the statement that if \(F(x)\) satisfies certain reasonable conditions, then \(M^{-1}\) maps the cone of ...
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Lagrangian Averaging, Nonlinear Waves, and Shock Regularization [PDF]
, 2005 In this thesis, we explore various models for the flow of a compressible fluid as well as model equations for shock formation, one of the main features of compressible fluid flows.
Bhat, Harish Subrahmanya
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Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
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Continuity Properties of Monotone Nonlinear Operators in Locally Convex Spaces [PDF]
Proceedings of the American Mathematical Society, 1978 Let X be a real locally convex Hausdorff space, X ∗
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