AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.4 din 2020 | |||||||
Articol: |
ON THE VISCOELASTIC EQUATION WITH BALAKRISHNAN- TAYLOR DAMPING AND NONLINEAR BOUNDARY/INTERIOR SOURCES WITH VARIABLE-EXPONENT NONLINEARITIES. Autori: ABITA RAHMOUNE, BENYATTOU BENABEDERRAHMANE. |
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Rezumat: DOI: 10.24193/subbmath.2020.4.09 Published Online: 2020-11-28 Published Print: 2020-12-20 pp. 599-639 VIEW ARTICLE VIEW ISSUE PDF ABSTRACT: This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping and nonlinear boundary interior sources with variable exponents. Under appropriate assumptions we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function. Keywords: Balakrishnan-Taylor damping; global existence; general decay; relaxation function; viscoelastic equation; Lebesgue and Sobolev spaces with variable exponents. |
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