IJPAM: Volume 116, No. 4 (2017)
Title
THE APPLICATION OF THE METHOD OFENERGY INEQUALITIES FOR EQUATION OF BEAM
Authors
Akimov Andrey, A.A. GimaltdinovaBashkir State University
Sterlitamak Branch
Lenina Str., 47A, Sterlitamak, 453103
Republic of Bashkortostan, RUSSIA
Ufa State Petroleum Technological University
Kosmonavtov Str., 1, Ufa, 450062
Republic of Bashkortostan, RUSSIA
Abstract
In this paper it is shown that under specified conditions on the initial data a certain infinite coupled system of ordinary differential equations has a solution satisfying an auxiliary convergence condition. The infinite system discussed is essentially the Galerkin expansion of the solution to a given quasi-linear wave equation of forth order. The results obtained suffice to prove the existence of a solution to this equation of oscillations of a beam.History
Received: 2017-08-19
Revised: 2017-11-01
Published: November 23, 2017
AMS Classification, Key Words
AMS Subject Classification: 35G31
Key Words and Phrases: quasi-linear wave equation, method of energy inequalities, equation of beam
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How to Cite?
DOI: 10.12732/ijpam.v116i4.22 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: 2017
Volume: 116
Issue: 4
Pages: 1075 - 1080
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