On a beam equation in Banach spaces | Zendy

M. Milla Miranda | Zendy; Valdenilza Ferreira Silva | Zendy; R.R. Carvalho | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On a beam equation in Banach spaces

Author(s) -

M. Milla Miranda,

Valdenilza Ferreira Silva,

R.R. Carvalho

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.110

Subject(s) - mathematics , banach space , beam (structure) , mathematical analysis , pure mathematics , physics , optics

This paper is concerned with the existence and asymptotic behavior of solutions of the Cauchy problem for an abstract model for vertical vibrations of a viscous beam in Banach spaces. First is obtained a local solution of the problem by using the method of successive approximations, a characterization of the derivative of the nonlinear term of the equation defined in a Banach space and the Ascoli–Arzelà theorem. Then the global solution is found by the method of prolongation of solutions. The exponential decay of solutions is derived by considering a Lyapunov functional.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research