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Authors: AMAR OUAOUA, AYA KHALDI, MESSAOUD MAOUNI.
DOI: 10.24193/subbmath.2022.4.11
Published Online: 2022-12-02
Published Print: 2022-12-30
pp. 817-827
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In this paper, we consider a nonlinear p-Kirchhoff type hyperbolic equation with damping and source terms... Under suitable assumptions and positive initial energy, we prove the global existence of solution by using the potential energy and Nehari’s functionals. Finally, the stability of equation is established based on Komornik’s integral inequality.
Mathematics Subject Classification (2010): 35L70, 35L05, 35B40, 93D20.
Keywords: p−Kirchhoff type hyperbolic equation, global existence, source term, Komornik’s integral inequality.
