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On the weak solutions of a coupled system of Volterra--Stieltjes integral equations

100%

Alfadel M., El-sayed A.

Commentationes Mathematicae

2017

tom 57

nr 2

We present an existence theorem for at least one weak solution to a coupled system of Volterra--Stieltjes integral equations in a reflexive Banach space.

Some applications of Girsanov's theorem to the theory of stochastic differential inclusions

88%

Kisielewicz M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2003

tom 23

nr 1

21-29

The Girsanov's theorem is useful as well in the general theory of stochastic analysis as well in its applications. We show here that it can be also applied to the theory of stochastic differential inclusions. In particular, we obtain some special properties of sets of weak solutions to some type of these inclusions.

Dynamic contact problems with velocity conditions

75%

Chau O., Motreanu V. V.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 1

17-26

We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 International Journal of Applied Mathematics and Computer Science

1 Alfadel M.

1 Chau O.

1 El-sayed A.

1 Kisielewicz M.

1 Motreanu V. V.

1 2017

1 2003

1 2002

Wyniki wyszukiwania

On the weak solutions of a coupled system of Volterra--Stieltjes integral equations

Some applications of Girsanov's theorem to the theory of stochastic differential inclusions

Dynamic contact problems with velocity conditions