When a nonlinear heat equation is subjected to nonlocal boundary conditions, the difficulty
might arise because time-dependent integral conditions present in the problem. To …

<noindent Electronic Journal of Differential Equations , Vol . 2008 ( 2008 ) , No . 1 7 , pp . 1 --
1 0 ISSN : 1 72 - 6691 . Page 1 <noindent Electronic Journal of Differential Equations , Vol …

On the Solvability of an Evolution Problem with Weighted Integral Boundary Conditions in
Sobolev Function Spaces with a Priori E Page 1 British Journal of Mathematics & Computer …

In the article, we solve a nonlinear parabolic type partial differential equation (PDE) subject
to non-separated and nonlocal conditions. First, a nonlocal boundary shape function …

Aims/We use an energy method to solve a following boundary-value problem for hyperbolic-
parabolic equation with an integral condition:∂ 2v∂ t2+∂ v∂ t−∂∂ x (a (x, t)∂ v∂ x)+ b …

In this paper, we study a mixed problem for a third order parabolic equation with non
classical boundary condition. We prove the existence and uniqueness of the solution. The …

A New Numerical Method for Parabolic Fractional Equation with Purely Nonlocal Conditions 1
Introduction Page 1 Nonlinear Analysis and Differential Equations, Vol. 7, 2019, no. 1, 133 - 143 …

The aim of this paper is to establish a priori estimates of the following nonlocal boundary
conditions mixed problem for parabolic equation:∂ v/∂ t−(a (t)/x2)(∂/∂ x)(x2∂ v/∂ x)+ b …

Numerical solutions of integro-differential equation with purely integral condition by using
Laplace transform method Page 1 Theoretical Mathematics & Applications, vol.6, no.1, 2016 …

Résumé Le but de cette présente thèse est d'étudier deux cas particuliers d'un problème
mixte général avec conditions intégrales appelées également conditions non locales. Ces …