Results 71 to 80 of about 1,919 (287)

Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition

, 2022
In this paper, the Dirac-type integro differential system with a nonlocal integral boundary condition is considered. First, we derive the asymptotic expressions for the solutions and large eigenvalues.
Keskin, Baki, Keskin Baki
core   +2 more sources

Non-local problems with an integral condition for third-order differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper is devoted to the study of the solvability of nonlocal problems with an integral variable $t$ condition for the equations $$u_{tt}+(\alpha\frac{\partial}{\partial t}+\beta)\Delta u=f(x,t)$$($\alpha$, $\beta$ are valid constants, $\Delta$ is ...
Alexander Ivanovich Kozhanov, Alexandra Vladimirovna Dyuzheva   +1 more
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Mixed problem with integral condition for the hyperbolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.
Natali D Golubeva
doaj   +3 more sources

A representative solution to m-order linear ordinary differential equation with nonlocal conditions by green's functional concept

Mathematical Modelling and Analysis, 2012
In this work, we investigate a linear completely nonhomogeneous nonlocal multipoint problem for an m-order ordinary differential equation with generally variable nonsmooth coefficients satisfying some general properties such as p-integrability and ...
Kemal Ozen, Kamil Orucoglu
doaj   +1 more source

Equilibrium Propagation for Dissipative Dynamics

Advanced Intelligent Systems, EarlyView.
This work develops local learning rules for damped linear dynamical systems, including mechanical structures and resistor‐inductor‐capacitor (RLC) circuits, by leveraging an effective action formulation. It demonstrates how physical systems can autonomously compute gradients and learn temporal patterns, enabling applications such as sound ...
Marc Berneman, Daniel Hexner
wiley   +1 more source

PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A HYPERBOLIC EQUATION

, 2017
In this paper we consider an initial-boundary problem with nonlocal boundary condition for one-dimensional hyperbolic equation. Nonlocal condition is dynamic so as represents a relation between values of derivatives with respect of spacial variables of a
V. A. Kirichek
core   +1 more source

On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation [PDF]

Advances in Difference Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thaiprayoon, Chatthai, Ntouyas, Sotiris K, Tariboon, Jessada   +2 more
openaire   +2 more sources

Sobolev type fractional dynamic equations and Optimal multi-integral controls with fractional nonlocal conditions [PDF]

, 2014
We prove existence and uniqueness of mild solutions to Sobolev type fractional nonlocal dynamic equations in Banach spaces. The Sobolev nonlocal condition is considered in terms of a Riemann-Liouville fractional derivative.
Debbouche, Amar, Amar Debbouche, Delfim F. M. Torres, Torres, Delfim F. M.   +3 more
core   +1 more source

Xstainer: A Novel Virtual Staining Tool Powered by Advanced Deep Learning Techniques

Advanced Intelligent Systems, EarlyView.
Xstainer is a deep learning–based virtual staining framework that converts hematoxylin and eosin‐stained whole slide images into multiple histochemical stains, including Masson's trichrome, Periodic acid‐Schiff, Jones methenamine silver, and Toluidine blue.
Fatma Nur Kinali, Derya Demir, Kutsev B. Ozyoruk, Yasin Almalioglu, Emre C. Kose, Drew F. K. Williamson, Gurdeniz Serin, G. Evren Keles, Banu S. Kumbaraci, Ceren Utku, Uguray P. Hacisalihoglu, Ilknur Turkmen, Figen Ozturk, Kayhan Basak, Yavuz Nuri Ertas, Mehmet Turan   +15 more
wiley   +1 more source