On two boundary value problems for mixed type equations with perpendicular lines of type change.
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Eleev, V.A., Lesev, V.N. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
A.K. Aziz, M. Schneider (1978)
Monatshefte für Mathematik
Ferreira, Jorge (1996)
International Journal of Mathematics and Mathematical Sciences
Tomáš Bárta (2014)
Commentationes Mathematicae Universitatis Carolinae
In this paper we consider a model of a one-dimensional body where strain depends on the history of stress. We show local existence for large data and global existence for small data of classical solutions and convergence of the displacement, strain and stress to zero for time going to infinity.
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