Results 41 to 50 of about 3,563,526 (277)

Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility [PDF]

, 2011
We study a diffusion model of phase field type, consisting of a system of two partial differential equations of second order for the particle densities and the viscosity variable, coupled by a nonlocal drift term.
Farshbaf-Shaker, Hassan
core   +1 more source

A Unifying Thermodynamic Model for Phase Separation and Aging of Biopolymers

Advanced Science, EarlyView.
Phase separation and aging of intrinsically disordered proteins are placed in a unifying framework. A thermodynamically consistent time‐dependent version of associating‐polymer theory shows how the processes are intricately coupled. Assuming aging to occur through interacting sites resulting from reversible conformational transitions, the model ...
Jasper J. Michels, Joana Caria, Edward A. Lemke   +2 more
wiley   +1 more source

Solutions of a Class of Deviated-Advanced Nonlocal Problems for the Differential Inclusion x1(t)∈F(t,x(t))

Abstract and Applied Analysis, 2011
We study the existence of solutions for deviated-advanced nonlocal and integral condition problems for the differential inclusion x1(t)∈F(t,x(t)).
A. M. A. El-Sayed, E. M. Hamdallah, Kh. W. Elkadeky   +2 more
doaj   +1 more source

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

Advances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

ON A NONLOCAL BOUNDARY-VALUE PROBLEM FOR THE MCKENDRICK VON FOERSTER LOADED EQUATION WITH CAPUTO OPERATOR [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017
In this paper we consider a nonlocal boundary value problem with an integral condition for the McKendrick von Foerster loaded equation with the Caputo operator. The existence and uniqueness theorem for the solution of the problem is proved.
R. Z. Berezgova
doaj   +1 more source

Stability of difference schemes for Bitsadze-Samarskii type nonlocal boundary value problem involving integral condition [PDF]

, 2014
In this study, the stable difference schemes for the numerical solution of Bitsadze-Samarskii type nonlocal boundary-value problem involving integral condition for the elliptic equations are studied.
Allaberen Ashyralyev, Elif Ozturk
openalex   +3 more sources

Lithium Niobate Electro‐Optic Photonic Processor for Variational Quantum Eigensolver

Advanced Science, EarlyView.
An integrated lithium‐niobate‐on‐insulator ququart processor implements an electro‐optically controlled photonic variational quantum eigensolver using single photons encoded in four path modes. Bell‐basis‐emulating ququart projective measurements reduce measurement settings while achieving chemical‐accuracy‐level molecular‐energy estimation.
Jinil Lee, Ui Joon Park, Minho Choi, Hyeong‐Soon Jang, Sunghyun Moon, Hyeon Hwang, Min‐Kyo Seo, Dae‐Hwan Ahn, Sang‐Wook Han, Yong‐Su Kim, Hyounghan Kwon, Hojoong Jung   +11 more
wiley   +1 more source

Monotonic Positive Solutions of Nonlocal Boundary Value Problems for a Second-Order Functional Differential Equation

Abstract and Applied Analysis, 2012
We study the existence of at least one monotonic positive solution for the nonlocal boundary value problem of the second-order functional differential equation x′′(t)=f(t,x(ϕ(t))), t∈(0,1), with the nonlocal condition ∑k=1makx(τk)=x0, x′(0)+∑j=1nbjx′(ηj)=
A. M. A. El-Sayed, E. M. Hamdallah, Kh. W. El-kadeky   +2 more
doaj   +1 more source

Cross‐scale Material‐Structure Synergy for 2D Metamaterials: Toward Customizable Intelligent Electromagnetic Manipulation in Multiphysics Fields

Advanced Science, EarlyView.
Recent advances in metasurface‐enabled low‐observable technologies are reviewed from the perspective of cross‐scale material–structure synergy. Electromagnetic, thermal, optical, and acoustic stealth are highlighted together with dynamic tuning, programmable coding, data‐driven inverse design, artificial intelligence, multispectral compatibility, and ...
Shuhao Wang, Xing Yang, Liping Liu, Yang Peng, Yangyang Wang, Hualiang Lv   +5 more
wiley   +1 more source

Finite Difference Scheme for Two-Dimensional Poisson Equation with the Multiple Integral Boundary Condition

Mathematics
This article investigates the numerical solution of the two-dimensional Poisson equation defined over a rectangular domain subject to a double integral nonlocal boundary condition.
Abdalaziz Bakhit, Artūras Štikonas, Olga Štikonienė   +2 more
doaj   +1 more source