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Received June 7, 2020; Accepted July 16, 2020; Published July 27, 2020
Abstract. Whenever an elastic string with fixed ends is subjected to transverse vibrations, its length varies with the time and introduces changes of the tension in the string. This motivated Kirchhoff to propose a nonlinear correction of the classical D’Alembert equation. In this paper, we prove the existence of the solution to the mixed problem for the coupled beam system of Kirchhoff type with nonlinear frictional damping and source terms. Moreover, by Nakao method we prove the uniform decay of the solution.
How to Cite this Article:
Ducival Pereira, Carlos Raposo, Celsa Maranhão, Adriano Cattai, On a coupled system of Kirchhoff beam equations with nonlinear frictional damping and source term, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 32, pp. 1-15.