Cauchy Problem for the Torsional Vibration Equation of a Nonlinear-Elastic Rod of Infinite Length

Author:

Umarov Kh. G.

Publisher

Allerton Press

Subject

General Physics and Astronomy,Mechanics of Materials

Reference14 articles.

1. Erofeev, V.I., Kazhaev, V.V., and Semerikova, N.P., Volny v sterzhnyakh. Dispersiya. Dissipatsiya. Nelineinost’ (Waves in Rods. Dispersion. Dissipation. Nonlinearity), Moscow: Fizmatlit, 2002.

2. Dunford, N. and Schwartz, J.T., Linear Operators, part 1: General Theory, New York: Interscience, 1958.

3. Vasil’ev, V.V., Krein, S.G., and Piskarev, S.I., Operator semigroups, cosine operator functions, and linear differential equations, Itogi Nauki Tekh., Ser.: Mat. Anal., 1990, vol. 28, pp. 87–202.

4. Demidenko, G.V., Solvability conditions of the Cauchy problem for pseudohyperbolic equations, Sib. Mat. Zh., 2015, vol. 56, no. 6, pp. 1289–1303.

5. Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., Integraly i ryady. Spetsial’nye funktsii (Integrals and Series. Special Functions), Moscow: Nauka, 1983.

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