IJPAM: Volume 106, No. 2 (2016)

ON A NONLINEAR EQUATION OF
DAMPED OSCILLATIONS BEAM

Salavat Gilmanov$^1$, Andrey Akimov$^2$, Guzeliya Galiaskarova$^3$
$^{1,2,3}$Sterlitamak Branch
Bashkir State University
Sterlitamak, RUSSIA


Abstract. The article considers the problem of damping vibrations of the beam for a nonlinear equation in the case of rigidly fixed ends. It is proved that solution to a nonlinear beam equation is uniquely. It is shown that under certain conditions on the coefficients of the solution of the problem will be oscillating.

Received: November 30, 2015

AMS Subject Classification: 35M12

Key Words and Phrases: damped oscillations of a beam, oscillatory solutions, initial and boundary conditions

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DOI: 10.12732/ijpam.v106i2.24 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 625 - 630


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