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Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
Weprovideanewapproachtoobtainsolutionsofevolutionequationswithnonlin- ear and nonlocal in time boundary conditions. Both, compact and noncompact semigroups are considered. As an example we show a "principle of huge growth": every control of a reaction-diffusion system necessarily leads to a profile preserving nonlinear huge growth for an appropriate ...
BENEDETTI, Irene   +2 more
openaire   +3 more sources

On harmonic functions satisfying nonlocal boundary conditions

Ukrainian Mathematical Journal, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. I. Firdman, S. D. Éidel'man
openaire   +3 more sources

The thermostat problem with a nonlocal nonlinear boundary condition

IMA Journal of Applied Mathematics, 2004
Summary: The thermostat controller for an air-conditioning system is usually placed in a position at some distance from the unit and this can lead to large swings in temperature. This paper addresses this question by studying a paradigm -- a one-dimensional heat conduction equation with and without heat loss, and where the flux of heat extracted or ...
Kalna, G., McKee, S.
openaire   +4 more sources

Nonlocal boundary value problems for hyperbolic-Schrödinger equations with multipoint nonlocal boundary condition

AIP Conference Proceedings, 2017
In this work, the stability estimates for the solution of the given problem for hyperbolic-Schrodinger partial differential equations with the multipoint nonlocal boundary condition are obtained. In applications, the stability estimates for the solutions of the mixed type boundary value problems for hyperbolic-Schrodinger equations are established.
Özdemir, Yıldırım, Erdoğan, Sevilay
openaire   +2 more sources

On a Nonlocal BVP with Nonlinear Boundary Conditions

Results in Mathematics, 2012
We consider the existence of at least one positive solution of the problem $${-y''(t)=f(t,y(t)), y(0)=H_1(\varphi(y))+\int_{E}H_2(s,y(s))\,ds, y(1)=0}$$ , where $${y(0)=H_1(\varphi(y))+\int_{
openaire   +2 more sources

ELLIPTIC PROBLEMS WITH NONLOCAL CONDITIONS NEAR THE BOUNDARY

Mathematics of the USSR-Sbornik, 1987
Let \(\Omega \subset R^ 2\) be a bounded domain with boundary \(\partial \Omega =(\cup^{N}_{i=1}\Gamma_ i)\cup K\) where \(\Gamma_ i\) is smooth, K is finite, and in a neigbourhood of points of K \(\partial \Omega\) is angular. Let \(\omega_{is}: \gamma_ i\to \Omega\) be nonsingular smooth maps where \(\gamma_ i\) is a neighbourhood of \(\Gamma_ i ...
openaire   +2 more sources

On a class of parabolic equations with a nonlocal boundary condition

Bulletin de la Classe des sciences, 1999
The present paper is devoted to a proof of the existence, uniqueness and continuous dependence of a strong solution upon the data for a mixed problem which combines Neumann and integral conditions for a class of parabolic equations. The proof is based on an a priori estimate and on the density of the range of the linear operator associated to the ...
openaire   +2 more sources

On presentation of boundary condition in nonlocal elasticity

Mechanics Research Communications, 1997
Xing Ji, Ke-Lin Pan
openaire   +2 more sources

Intermittent fasting in the prevention and treatment of cancer

Ca-A Cancer Journal for Clinicians, 2021
Katherine Clifton   +2 more
exaly  

Oncologic emergencies and urgencies: A comprehensive review

Ca-A Cancer Journal for Clinicians, 2022
Bonnie Gould Rothberg   +2 more
exaly  

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