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single piston pump; valve function; fluid flow in a tube; linear hyperbolic equation

References:

[1] V. Kolarčík: **Linear model of a piston pump**. Communication during cooperation of Mathematical Institute of Czechoslovak Academy of Sciences and Research Institute of Concern Sigma Olomouc in 1984.

[2] V. Kolarčík: **Mathematical model of a piston pump**. To appear in Acta Technica ČSAV 1989 - 90.

[3] I. Straškraba: **Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces**. Aplikace matematiky 31 (1986), č. 6, 461-479. MR 0870482

[4] A. Pazy: **Semigroups of linear operators and applications to partial differential equations**. New York, Springer 1983. MR 0710486 | Zbl 0516.47023