ОБ ОДНОМ ПРИМЕНЕНИИ МЕТОДА ЭНЕГЕТИЧЕСКИХ НЕРАВЕНСТВ ДЛЯ УРАВНЕНИЯ БАЛКИJournal: International Scientific Journal "Internauka" (Vol.1, No. 22)
Publication Date: 2016-12-31
Authors : Akimov A. A.; Agafonova A. A.;
Page : 138-141
Keywords : quasi-linear wave equation; method of energy inequalities; equation of oscillations of a beam;
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 e equation. The results obtained suffice to prove the existence of a solution to this equation of oscillations of a beam.
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