Zerkouk, Hanene; Aichi, Chahira; Benaissa, Abbes On the stability of a degenerate wave equation under fractional feedbacks acting on the degenerate boundary. (English) Zbl 1494.35041 J. Dyn. Control Syst. 28, No. 3, 601-633 (2022). MSC: 35B40 35L20 35L80 35R11 74D05 93D15 PDFBibTeX XMLCite \textit{H. Zerkouk} et al., J. Dyn. Control Syst. 28, No. 3, 601--633 (2022; Zbl 1494.35041) Full Text: DOI
Aounallah, Radhouane; Benaissa, Abbes; Zaraï, Abderrahmane Blow-up and asymptotic behavior for a wave equation with a time delay condition of fractional type. (English) Zbl 1471.35057 Rend. Circ. Mat. Palermo (2) 70, No. 2, 1061-1081 (2021). MSC: 35B44 35B40 35L20 35L71 35R11 PDFBibTeX XMLCite \textit{R. Aounallah} et al., Rend. Circ. Mat. Palermo (2) 70, No. 2, 1061--1081 (2021; Zbl 1471.35057) Full Text: DOI
Benaissa, Abbes; Rafa, Said Well-posedness and energy decay of solutions to a wave equation with a general boundary control of diffusive type. (English) Zbl 1428.35196 Math. Nachr. 292, No. 8, 1644-1673 (2019). MSC: 35L20 35B40 47D03 74D05 93D15 35L05 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{S. Rafa}, Math. Nachr. 292, No. 8, 1644--1673 (2019; Zbl 1428.35196) Full Text: DOI
Benaissa, Abbes; Messaoudi, Salim A. Global existence and energy decay of solutions for a nondissipative wave equation with a time-varying delay term. (English) Zbl 1275.35036 Reissig, Michael (ed.) et al., Progress in partial differential equations. Asymptotic profiles, regularity and well-posedness. Based on the presentations given at a session at the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Cham: Springer (ISBN 978-3-319-00124-1/hbk; 978-3-319-00125-8/ebook). Springer Proceedings in Mathematics & Statistics 44, 1-26 (2013). MSC: 35B40 35L20 35L71 35R10 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{S. A. Messaoudi}, Springer Proc. Math. Stat. 44, 1--26 (2013; Zbl 1275.35036) Full Text: DOI
Benaissa, Abbes; Louhibi, Naima Global existence and energy decay of solutions to a nonlinear wave equation with a delay term. (English) Zbl 1510.35051 Georgian Math. J. 20, No. 1, 1-24 (2013). MSC: 35B40 35L20 35L71 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{N. Louhibi}, Georgian Math. J. 20, No. 1, 1--24 (2013; Zbl 1510.35051) Full Text: DOI
Benaissa, Abbes; Maatoug, Abdelkader Energy decay rate of solutions for the wave equation with singular nonlinearities. (English) Zbl 1207.34035 Acta Appl. Math. 113, No. 1, 117-127 (2011). MSC: 34B40 35L70 35L80 35L20 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{A. Maatoug}, Acta Appl. Math. 113, No. 1, 117--127 (2011; Zbl 1207.34035) Full Text: DOI
Mimouni, Salima; Benaissa, Abbes; Amroun, Nour-Eddine Global existence and optimal decay rate of solutions for the degenerate quasilinear wave equation with a strong dissipation. (English) Zbl 1192.35024 Appl. Anal. 89, No. 6, 815-831 (2010). MSC: 35B40 35L80 35L20 35R09 35L72 PDFBibTeX XMLCite \textit{S. Mimouni} et al., Appl. Anal. 89, No. 6, 815--831 (2010; Zbl 1192.35024) Full Text: DOI
Benaissa, Abbes; Guesmia, Aissa Energy decay for wave equations of \(\varphi\)-Laplacian type with weakly nonlinear dissipation. (English) Zbl 1170.35335 Electron. J. Differ. Equ. 2008, Paper No. 109, 22 p. (2008). MSC: 35B40 35L70 35L20 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{A. Guesmia}, Electron. J. Differ. Equ. 2008, Paper No. 109, 22 p. (2008; Zbl 1170.35335) Full Text: EuDML EMIS
Abdelli, Mama; Benaissa, Abbes Energy decay of solutions of a degenerate Kirchhoff equation with a weak nonlinear dissipation. (English) Zbl 1149.35393 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 7, 1999-2008 (2008). MSC: 35L80 35B40 35L20 45K05 PDFBibTeX XMLCite \textit{M. Abdelli} and \textit{A. Benaissa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 7, 1999--2008 (2008; Zbl 1149.35393) Full Text: DOI
Benaissa, Abbès; Mimouni, Salima Energy decay of solutions of a wave equation of \(p\)-Laplacian type with a weakly nonlinear dissipation. (English) Zbl 1133.35321 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 15, 8 p. (2006). MSC: 35B40 35L70 35L20 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{S. Mimouni}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 15, 8 p. (2006; Zbl 1133.35321) Full Text: EuDML EMIS
Benaissa, Abbes; Messaoudi, Salim A. Exponential decay of solutions of a nonlinearly damped wave equation. (English) Zbl 1102.35071 NoDEA, Nonlinear Differ. Equ. Appl. 12, No. 4, 391-399 (2005). MSC: 35L70 35L45 35L20 35B40 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{S. A. Messaoudi}, NoDEA, Nonlinear Differ. Equ. Appl. 12, No. 4, 391--399 (2005; Zbl 1102.35071) Full Text: DOI
Benaissa, Abbes; Rahmani, Leila Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation. (English) Zbl 1073.35167 Bull. Belg. Math. Soc. - Simon Stevin 11, No. 4, 547-574 (2004). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 35L70 35B40 35L20 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{L. Rahmani}, Bull. Belg. Math. Soc. - Simon Stevin 11, No. 4, 547--574 (2004; Zbl 1073.35167)
Benaissa, Abbes; Messaoudi, Salim. A. Blow-up of solutions of a quasilinear wave equation with nonlinear dissipation. (English) Zbl 1183.35199 J. Partial Differ. Equations 15, No. 3, 61-67 (2002). MSC: 35L70 35B40 35L20 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{Salim. A. Messaoudi}, J. Partial Differ. Equations 15, No. 3, 61--67 (2002; Zbl 1183.35199)
Benaissa, Abbes; Messaoudi, Salim A. Blowup of solutions of a nonlinear wave equation. (English) Zbl 1001.35086 J. Appl. Math. 2, No. 2, 105-108 (2002). MSC: 35L70 35B40 45K05 35L20 PDFBibTeX XMLCite \textit{A. Benaissa} and \textit{S. A. Messaoudi}, J. Appl. Math. 2, No. 2, 105--108 (2002; Zbl 1001.35086) Full Text: DOI EuDML
Benaissa, Abbès Global existence and polynomial decay of the energy of solutions of middly degenerate Kirchhoff-Carrier equations with nonlinear dissipative terms. (Existence globale et décroissance polynomiale de l’énergie des solutions des équations de Kirchhoff-Carrier moyennement dégénérées avec des termes non-linéaires dissipatifs.) (French) Zbl 1031.35106 Bull. Belg. Math. Soc. - Simon Stevin 8, No. 4, 607-622 (2001). MSC: 35L70 35L80 35B40 35B37 35L20 PDFBibTeX XMLCite \textit{A. Benaissa}, Bull. Belg. Math. Soc. - Simon Stevin 8, No. 4, 607--622 (2001; Zbl 1031.35106)