Author:
,Bourega Abdeldjabar,Ouchenane Djamel,
Abstract
"As a continuity to the study by M. Kafini [24], we consider a logarithmic nonlinear wave condition with delay term. We obtain a blow-up result of solutions under suitable conditions. Keywords: Logarithmic source, blow up, wave equation, negative, initial energy, delay term."
Publisher
Babes-Bolyai University Cluj-Napoca
Reference36 articles.
1. "[1] Abdallah, C., Dorato, P., Benitez-Read, J., et al., Delayed positive feedback can stabilize oscillatory system, San Francisco, CA: ACC, (1993), 3106-3107.
2. [2] Al-Gharabli, M.M., Messaoudi, S.A., Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term, J. Evol. Equ., 18(2018), 105-125.
3. [3] Ball, J.M., Remarks on blow up and nonexistence theorems for nonlinear evolutions equations, Quart. J. Math. Oxford, 28(1977), 473-486.
4. [4] Bartkowski, K., Górka, P., One-dimensional Klein-Gordon equation with logarithmic nonlinearities, J. Phys. A. Math. Theor., 41(2008), 355201.
5. [5] Bialynicki-Birula, I., Mycielski, J., Wave equations with logarithmic nonlinearities, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astron. Phys., 23(1975), 461-466.