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A monotonicity method for solving hyperbolic problems with hysteresis
- 1.0360152 - MÚ 2012 CZ eng J - Journal Article
Krejčí, Pavel
A monotonicity method for solving hyperbolic problems with hysteresis.
Applications of Mathematics. Roč. 33, č. 3 (1988), s. 197-203. ISSN 0862-7940. E-ISSN 1572-9109
Keywords : Quasilinear hyperbolic equation * Ishlinskii hysteresis operator * periodic solution
Subject RIV: BA - General Mathematics
http://dml.cz/bitstream/handle/10338.dmlcz/104302/AplMat_33-1988-3_4.pdf
A version of the Minty-Browder method is used for proving the existence and uniqueness of a weak co-periodic solution to the equation utt — div F(grad u) = g in a bounded domain Q c RN with the boundary condition u = 0 on dQ, where g is a given (generalized) co-periodic function and F is the Ishlinskii hysteresis operator.
Permanent Link: http://hdl.handle.net/11104/0197776
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