Articles with "controllability class" as a keyword



Controllability of a class of heat equations with memory in one dimension

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Published in 2017 at "Mathematical Methods in The Applied Sciences"

DOI: 10.1002/mma.4221

Abstract: This paper addresses a study of the controllability for a class of heat equations with memory in one spacial dimension. Unlike the classical heat equation, a heat equation with memory in general is not null… read more here.

Keywords: class heat; equations memory; heat equations; controllability ... See more keywords

Controllability for a class of integro-differential evolution equations involving non-local initial conditions

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Published in 2017 at "International Journal of Control"

DOI: 10.1080/00207179.2016.1260161

Abstract: ABSTRACT This paper deals with the exact controllability for a class of first-order integro-differential evolution equations involving non-local initial conditions. By using Sadovskii fixed point theorem, exact controllability results are obtained without assuming the compactness… read more here.

Keywords: non local; integro differential; evolution equations; controllability ... See more keywords

Controllability of a Class of Impulsive ψ-Caputo Fractional Evolution Equations of Sobolev Type

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11060283

Abstract: In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented by two new characteristic solution operators, fractional calculus, and… read more here.

Keywords: impulsive caputo; controllability class; class impulsive; evolution equations ... See more keywords

Boundary null controllability of a class of 2-D degenerate parabolic PDEs

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Published in 2024 at "Discrete and Continuous Dynamical Systems"

DOI: 10.3934/dcds.2025084

Abstract: This article deals with the boundary null controllability of some degenerate parabolic equations posed on a square domain, presenting the first study of boundary controllability for such equations in multidimensional settings. The proof combines two… read more here.

Keywords: class degenerate; controllability; controllability class; degenerate parabolic ... See more keywords