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Asymptotic stability of a partial differential equation with an integral perturbation

100%

Pichór K.

Annales Polonici Mathematici

1998

tom 68

nr 1

83-96

We study the asymptotic behaviour of the Markov semigroup generated by an integro-partial differential equation. We give new sufficient conditions for asymptotic stability of this semigroup.

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Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane

100%

El-Bary A.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2006

tom 26

nr 1

77-86

The Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of this work. The shape of the hole being an ellipse, a crescent, a triangle, or a cut having the shape of a circular arc are included as special cases.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 El-Bary A.

1 Pichór K.

1 2006

1 1998

Wyniki wyszukiwania

Asymptotic stability of a partial differential equation with an integral perturbation

Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane