Abstract
Following the previous work (Sui and Yu, AML, 2020), we investigate the impact of damping on the oscillation of smooth solutions to some kind of quasilinear wave equations with Robin and Dirichlet boundary conditions. By using generalized Riccati transformation and technical inequality method, we give some sufficient conditions to guarantee the oscillation of all smooth solutions. From the results, we conclude that positive damping can “hold back” oscillation. At last, some examples are presented to confirm our main results.
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