| Abstrakt: |
This work was concerned with the weakly coupled system of semi-linear wave equations with time dependent speeds of propagation, damping terms, and derivative nonlinear terms in generalized Einstein-de Sitter space-time on R n . Under certain assumptions about the indexes k 1 , k 2 , coefficients μ 1 , μ 2 , and nonlinearity exponents p , q , applying the iteration technique, finite time blow-up of local solutions to the small initial value problem of the coupled system was investigated. Blow-up region and upper bound lifespan estimate of solutions to the problem were established. Compared with blow-up results in the previous literature, the new ingredient relied on that the blow-up region of solutions obtained in this work varies due to the influence of coefficients k 1 , k 2 . [ABSTRACT FROM AUTHOR] |
