Results 21 to 30 of about 8,614,781 (356)

$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals

Mathematics in Engineering, 2023
Motivated by some variational problems from a nonlocal model of mechanics, this work presents a set of sufficient conditions that guarantee a compact inclusion in the function space of $ L^{p} $ vector fields defined on a domain $ \Omega $ that is either
Qiang Du, Tadele Mengesha, Xiaochuan Tian   +2 more
doaj   +1 more source

Free vibration analysis of FGM framed nanostructures using variational-consistent boundary conditions

Vietnam Journal of Mechanics, 2023
This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM).
Duong The Hung, Tran Van Lien, Tran Binh Dinh, Nguyen Tat Thang   +3 more
doaj   +1 more source

Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

Advances in Differential Equations, 2020
The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space.
A. Anguraj, K. Ravikumar, D. Baleanu
semanticscholar   +1 more source

STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

Mathematical Modelling and Analysis, 2001
In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated.
Čiegis, R., Štikonas, A., Štikoniene, O., Suboč, O.   +3 more
openaire   +5 more sources

Difference Schemes with Nonlocal Boundary Conditions

Computational Methods in Applied Mathematics, 2001
AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V., Ionkin, Nikolai I., Morozova, Valentina A.   +2 more
openaire   +2 more sources

On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces

Demonstratio Mathematica, 2020
The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces.
M. Metwali
semanticscholar   +1 more source

Controlabilidad de ecuaciones diferenciales retardadas semilineales impulsivas con retardo infinito y condiciones no locales

NOVASINERGIA, 2022
In this paper, we prove the exact controllability of semilinear retarded equations with infinity delay, impulses and nonlocal conditions; proving the conjecture that the controllability is preserve under the influence of
Steven Allauca, Hugo Leiva
doaj   +1 more source

Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

AIMS Mathematics, 2020
This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces ...
M. Benchohra, Zohra Bouteffal, J. Henderson, S. Litimein   +3 more
semanticscholar   +1 more source

On a Coupled System of Stochastic It$\widehat{o}$-Differential and the Arbitrary (Fractional) Order Differential Equations with Nonlocal Random and Stochastic Integral Conditions

Mathematics, 2021
The fractional stochastic differential equations had many applications in interpreting many events and phenomena of life, and the nonlocal conditions describe numerous problems in physics and finance.
A. M. A. El-Sayed, Hoda A. Fouad
doaj   +1 more source

A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES

Communications of the Korean Mathematical Society, 2012
In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x);
Wenjie Gao, Yuzhu Han
openaire   +2 more sources