Department of Sciences and Technology, Laboratory of Applied Mathematics and History and Didactics of Mathematics (LAMAHIS), University of 20 August 1955, Skikda, Algeria
In this paper, we consider a class of nonlinear fourth-order wave equation with damping and source terms of variable-exponent types. First, by the Faedo-Galerkin approximation method with positive initial energy and suitable conditions on the variable exponents $m(.)$ and $r(.) $, we established the local existence. We also prove that the local solution is global. Finally, the stability estimate of the solution was obtained by using the Komornik inequality
Ouaoua,A and Boughamsa,W . (2023). Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents. International Journal of Nonlinear Analysis and Applications, 14(1), 1769-1785. doi: 10.22075/ijnaa.2022.27129.3507
MLA
Ouaoua,A , and Boughamsa,W . "Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1769-1785. doi: 10.22075/ijnaa.2022.27129.3507
HARVARD
Ouaoua A, Boughamsa W. (2023). 'Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1769-1785. doi: 10.22075/ijnaa.2022.27129.3507
CHICAGO
A Ouaoua and W Boughamsa, "Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1769-1785, doi: 10.22075/ijnaa.2022.27129.3507
VANCOUVER
Ouaoua A, Boughamsa W. Well-posedness and stability results for a class of nonlinear fourth-order wave equation with variable-exponents. IJNAA. 2023;14(1):1769-1785. doi: 10.22075/ijnaa.2022.27129.3507
International Journal of Nonlinear Analysis and Applications