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Solutions to the quasistatic problem from the theory of inelastic deformations with linear growth condition

Gleń Ł.

Demonstratio Mathematica

2014

Vol. 47, nr 3

763--775

This paper refers to standard models in the theory of inelastic deformations. We assume that non-linear inelastic constitutive function is of monotone type, that the growth condition holds and that the model is quasistatic. Initial, generic problem is transformed into an evolution equation in a maximal monotone field. Then we find solutions with very low regularity requirements of the forces acting on a body.

Existence of solutions of set-valued Ito equation

Motyl J.

Bulletin of the Polish Academy of Sciences. Mathematics

1998

Vol. 46, no 4

419-430

In the paper, the problem of existence of solution to the stochastic functional inclusion x [...] is investigated under some assumption of the dissipativity type on set-valued functions A and B.