Results 31 to 40 of about 603 (164)

Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators

Abstract and Applied Analysis, 2011
The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. This will allow one to define the topological degree.
N. Apreutesei, V. Volpert
doaj   +1 more source

The Dirichlet Problem in the 2D Stationary Anisotropic Thermoelasticity

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
In this article the Dirichlet problem for an anisotropic thermoelastic media is studied. It means, by definition, that a displacement vector and a stationary temperature are assigned at a boundary.
Yu. A. Bogan
doaj   +3 more sources

General Linear Boundary Value Problem for the Second-Order Integro-Differential Loaded Equation with Boundary Conditions Containing Both Nonlocal and Global Terms

Abstract and Applied Analysis, 2010
The paper is devoted to obtaining the sufficient conditions for Fredholm property for the general boundary value problem of the second-order linear integro-differential equation. Here, the boundary conditions corresponding with the boundary value problem
M. R. Fatemi, N. A. Aliyev
doaj   +1 more source

Difference Equations in a Multidimensional Space

Mathematical Modelling and Analysis, 2016
One considers a general difference equation in a multidimensional space with continuous coefficients in the space of integrable functions. Necessary and sufficient conditions for a Fredholm property are obtained with a help of the Fourier transform and ...
Alexander V. Vasilyev, Vladimir B. Vasilyev   +1 more
doaj   +1 more source

Microencapsulated Alkane Wax Melting: Measured by 1$$ {}^1 $$H NMR Relaxometry and Diffusometry

Magnetic Resonance in Chemistry, EarlyView.
NMR relaxometry and diffusometry measurements detected greater molecular‐level disordering in microencapsulated n‐alkane waxes versus unencapsulated waxes throughout melting. ABSTRACT Phase change materials (PCMs) are useful for energy storage. Large latent heats make n‐alkane waxes effective PCMs.
Matthew C. Young, Madison L. Nelson, Matthew E. Skuntz, Sarah L. Codd, Ryan Anderson, Joseph D. Seymour   +5 more
wiley   +1 more source

Feedback control of excitability and high K+ induced epileptiform bursts in male rat hippocampal slices with a photocaged adenosine A1 receptor agonist

British Journal of Pharmacology, EarlyView.
Background and Purpose Adenosine is a potent regulator of neurotransmission and neuronal excitability, through activation of Gi coupled adenosine A1 receptors (A1Rs). Adenosine has gained interest as an anticonvulsant because of its endogenous involvement in ending seizure activity, but peripheral side effects require local application.
Erine Craey, Marijke Vergaelen, Serge Van Calenbergh, Jeroen Spanoghe, Evelien Carrette, Kristl Vonck, Paul Boon, Wytse J. Wadman, Robrecht Raedt   +8 more
wiley   +1 more source

Integrative Computational and Experimental Approaches Reveal the Protective Role of Moderate Caffeine Intake Against Apical Periodontitis Induced Bone Loss

International Endodontic Journal, EarlyView.
ABSTRACT Aim To investigate whether moderate systemic caffeine intake modulates the progression of apical periodontitis (AP) and associated alveolar bone loss, combining in vivo rat experiments with in silico molecular docking to explore potential mechanisms. Methodology Male Wistar rats were randomly assigned to four groups (n = 8 per group): control,
Matheus Ferreira Lima Rodrigues, Deborah Ribeiro Frazão, Deiweson Souza‐Monteiro, Vinicius Ruan Neves dos Santos, Felipe Oliveira Nunes, João Daniel Mendonça de Moura, Thamires Campos Gomes, Jorddy Neves Cruz, Cristiane do Socorro Ferraz Maia, Rodrigo A. Cunha, Fabrício Mezzomo Collares, Rogerio de Castilho Jacinto, Rafael Rodrigues Lima   +12 more
wiley   +1 more source

Optimal Portfolio Choice With Cross‐Impact Propagators

Mathematical Finance, EarlyView.
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber, Eyal Neuman, Sturmius Tuschmann   +2 more
wiley   +1 more source

Invertibility properties of matrix wiener‐hopf plus Hankel integral operators

Mathematical Modelling and Analysis, 2008
We consider matrix Wiener‐Hopf plus Hankel operators acting between Lebesgue spaces on the real line with Fourier symbols presenting some even properties (which in particular include unitary matrix‐valued functions), and also with Fourier symbols which ...
Giorgi Bogveradze, Luís P. Castro
doaj   +1 more source

Numerical solution of some class of integro-differential equations by using legendre-bernstein basis [PDF]

Journal of Hyperstructures, 2014
In this article, a numerical method is developed to solve the linear integro-differential equations. To this end, it will be divided in two forms, Fredholm integro-differential equations (FIDE) and Volterra integro-differential equations (VIDE). So that,
sasan Fathi, F. Mirzaee
doaj   +1 more source