Wasit Journal for Pure Sciences, 2023 The aim of this paper is to investigate some types of stability such as generalized Hyers-Ulam- Rassias stability(G-H-U-R-stabile) and the relation with Hyers-Ulam(H-U-stabile) stable and Hyers-Ulam-Rassias stable (H-U-R-stabile) and generalized Hyers ...
Ahmed Adnan Hashem Aljumaili +1 more
doaj +1 more source
A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
doaj +1 more source
Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
core +1 more source
Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions [PDF]
, 2016 In this paper we study the existence, localization and multiplicity of positive solutions for parabolic systems with nonlocal initial conditions. In order to do this, we extend an abstract theory that was recently developed by the authors jointly with ...
Infante, Gennaro, Maciejewski, Mateusz
core +1 more source
Discontinuous Parabolic Problems with a Nonlocal Initial Condition [PDF]
Boundary Value Problems, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
A New Formulation of the Initial Value Problem for Nonlocal Theories [PDF]
, 2010 There are a number of reasons to entertain the possibility that locality is violated on microscopic scales, for example through the presence of an infinite series of higher derivatives in the fundamental equations of motion.
Aref'eva +90 more
core +1 more source
Fractional parabolic problems with a nonlocal initial condition [PDF]
Moroccan Journal of Pure and Applied Analysis, 2017 Abstract In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem where is a bounded domain, the function a can be a singular potential, g is a suitable function which will be specified ...
Abdellaoui B. +2 more
openaire +3 more sources
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations [PDF]
, 2012 This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts.
Babaoglu, Ceni +4 more
core +2 more sources
Existence results for systems with nonlinear coupled nonlocal initial conditions [PDF]
Mathematica Bohemica, 2015 The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary conditions of functional type. The existence results are established by means of the Perov, Schauder and Leray-Schauder fixed point principles combined with a technique based on
Bolojan Nica O +2 more
openaire +4 more sources
Nonlocal Thermodynamics: Mathematical Model of Two-Dimensional Thermal Conductivity [PDF]
E3S Web of Conferences, 2021 Nonlocal models of thermodynamics are becoming more and more popular in the modern world. Such models make it possible to describe materials with a complex structure and unique strength and temperature properties.
Kuvyrkin George +2 more
doaj +1 more source