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Kordulová, P.

Asymptotic behaviour of a quasilinear hyperbolic equation with hysteresis. (English) Zbl 1132.35312

Nonlinear Anal., Real World Appl. 8, No. 5, 1398-1409 (2007).
Summary: The paper deals with the asymptotic behaviour of the solution of a quasilinear hyperbolic equation with hysteresis. A stability result for solution in \(L^{1}(\Omega )\) is derived by the nonlinear semigroup approach.

Cited in 1 Document

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L60 First-order nonlinear hyperbolic equations
34C55 Hysteresis for ordinary differential equations
47J40 Equations with nonlinear hysteresis operators

Keywords:

hysteresis operator; asymptotic behaviour; nonlinear semigroup approach
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\textit{P. Kordulová}, Nonlinear Anal., Real World Appl. 8, No. 5, 1398--1409 (2007; Zbl 1132.35312)
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References:

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