___

• [1] V. Georgiev, G. Todorova, Existence of a solution of the wave equation with nonlinear damping and source terms, J. Differ. Equ., 109(2) (1994), 295-308.
• [2] H. A. Levine, Instability and nonexistence of global solutions to nonlinear wave equations of the form Putt = Au+F(u), Trans. Am. Math. Soc., 192 (1974), 1-21.
• [3] H. A. Levine, Some additional remarks on the nonexistence of global solutions to nonlinear wave equations, SIAM J. Math. Anal., 5 (1974), 138-146.
• [4] S. A. Messaoudi, Blow up in a nonlinearly damped wave equation, Math. Nachrichten, 231 (2001), 105-111.
• [5] X. Runzhang, S. Jihong, Some generalized results for global well-posedness for wave equations with damping and source terms, Math. Comput. Simul., 80 (2009), 804-807.
• [6] E. Vitillaro, Global nonexistence theorems for a class of evolution equations with dissipation, Arch. Ration. Mech. Anal., 149 (1999), 155-182.
• [7] S. Yu, On the strongly damped wave equation with nonlinear damping and source terms, Electron. J. Qual. Theory Differ. Equ., 39 (2009), 1-18.
• [8] S. Gerbi, B. Said-Houari, Exponential decay for solutions to semilinear damped wave equation, Discrete. Cont. Dyn. - S, 5(3) (2012), 559-566.
• [9] X. Zheng, Y. Shang, X. Peng, Blow up of solutions for a nonlinear Petrovsky type equation with time-dependent coefficients, Acta Math. Appl. Sin., 36(4) (2020), 836-846.
• [10] R. A. Adams, J. J. F. Fournier, Sobolev Spaces, Academic Press, New York, 2003.
• [11] E. Pis¸kin, B. Okutmus¸tur, An Introduction to Sobolev Spaces, Bentham Science, 2021.
• [12] E. Pis¸kin, Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms, Open Math., 13 (2015), 408-420.