Kelleche, Abdelkarim Well-posedness and a blow up result for a fractionally damped coupled system. (English) Zbl 1504.35086 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 41, 33 p. (2023). MSC: 35B44 35L53 35L71 35R11 PDFBibTeX XMLCite \textit{A. Kelleche}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 41, 33 p. (2023; Zbl 1504.35086) Full Text: DOI
Li, Qian The general decay of solution for a system of wave equations with damping and coupled source term. (Chinese. English summary) Zbl 07800970 Acta Math. Appl. Sin. 45, No. 3, 380-400 (2022). MSC: 35L05 35L15 PDFBibTeX XMLCite \textit{Q. Li}, Acta Math. Appl. Sin. 45, No. 3, 380--400 (2022; Zbl 07800970) Full Text: Link
Mukiawa, Soh Edwin; Omaba, McSylvester Ejighikeme; Enyi, Cyril Dennis; Apalara, Tijani A. General decay estimate for coupled plate problem with memory. (English) Zbl 1497.35052 Results Appl. Math. 15, Article ID 100306, 14 p. (2022). MSC: 35B40 35L57 35L71 35R09 33E30 74K20 PDFBibTeX XMLCite \textit{S. E. Mukiawa} et al., Results Appl. Math. 15, Article ID 100306, 14 p. (2022; Zbl 1497.35052) Full Text: DOI
Mustafa, Muhammad I. On the control of a nonlinear system of viscoelastic equations. (English) Zbl 1522.35078 Adv. Pure Appl. Math. 12, No. 2, 53-76 (2021). MSC: 35B40 35L53 35L71 35R09 74D99 93D15 93D20 PDFBibTeX XMLCite \textit{M. I. Mustafa}, Adv. Pure Appl. Math. 12, No. 2, 53--76 (2021; Zbl 1522.35078) Full Text: DOI
Kafini, Mohammad; Al-Omari, Shadi Local existence and lower bound of blow-up time to a Cauchy problem of a coupled nonlinear wave equations. (English) Zbl 1485.35283 AIMS Math. 6, No. 8, 9059-9074 (2021). MSC: 35L15 35B44 35D30 35L05 35L70 PDFBibTeX XMLCite \textit{M. Kafini} and \textit{S. Al-Omari}, AIMS Math. 6, No. 8, 9059--9074 (2021; Zbl 1485.35283) Full Text: DOI
Ekinci, Fatma; Pișkin, Erhan; Boulaaras, Salah Mahmoud; Mekawy, Ibrahim Global existence and general decay of solutions for a quasilinear system with degenerate damping terms. (English) Zbl 1472.35239 J. Funct. Spaces 2021, Article ID 4316238, 10 p. (2021). MSC: 35L53 35L72 35R09 35B40 PDFBibTeX XMLCite \textit{F. Ekinci} et al., J. Funct. Spaces 2021, Article ID 4316238, 10 p. (2021; Zbl 1472.35239) Full Text: DOI
Al-Mahdi, Adel M.; Al-Gharabli, Mohammad M.; Messaoudi, Salim A. New general decay result for a system of viscoelastic wave equations with past history. (English) Zbl 1460.35034 Commun. Pure Appl. Anal. 20, No. 1, 389-404 (2021). MSC: 35B40 35L53 35L71 74D05 93D20 PDFBibTeX XMLCite \textit{A. M. Al-Mahdi} et al., Commun. Pure Appl. Anal. 20, No. 1, 389--404 (2021; Zbl 1460.35034) Full Text: DOI
Feng, Baowei; Li, Haiyan Decay rates for a coupled viscoelastic Lamé system with strong damping. (English) Zbl 1479.35091 Math. Model. Anal. 25, No. 2, 226-240 (2020). MSC: 35B40 35L53 35R09 74D05 93D20 PDFBibTeX XMLCite \textit{B. Feng} and \textit{H. Li}, Math. Model. Anal. 25, No. 2, 226--240 (2020; Zbl 1479.35091) Full Text: DOI
Pişkin, Erhan; Ekinci, Fatma; Zennir, Khaled Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms. (English) Zbl 1474.35110 Theor. Appl. Mech. (Belgrade) 47, No. 1, 123-154 (2020). MSC: 35B40 35B44 35L05 35L75 PDFBibTeX XMLCite \textit{E. Pişkin} et al., Theor. Appl. Mech. (Belgrade) 47, No. 1, 123--154 (2020; Zbl 1474.35110) Full Text: DOI
Messaoudi, Salim A.; Hassan, Jamilu Hashim On the general decay for a system of viscoelastic wave equations. (English) Zbl 1439.35070 Dutta, Hemen (ed.) et al., Current trends in mathematical analysis and its interdisciplinary applications. Cham: Birkhäuser. 287-310 (2019). MSC: 35B40 35L53 35L71 35R09 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{J. H. Hassan}, in: Current trends in mathematical analysis and its interdisciplinary applications. Cham: Birkhäuser. 287--310 (2019; Zbl 1439.35070) Full Text: DOI
Mustafa, Muhammad I.; Kafini, Mohammad Decay rates for a coupled quasilinear system of nonlinear viscoelastic equations. (English) Zbl 1418.35038 J. Appl. Anal. 25, No. 1, 97-110 (2019). MSC: 35B40 93D15 93D20 35L53 35L72 35R09 74D10 PDFBibTeX XMLCite \textit{M. I. Mustafa} and \textit{M. Kafini}, J. Appl. Anal. 25, No. 1, 97--110 (2019; Zbl 1418.35038) Full Text: DOI
Ferhat, Mohamed Well posedness and asymptotic behavior for coupled quasilinear parabolic system with source term. (English) Zbl 1463.35300 Electron. J. Math. Anal. Appl. 7, No. 1, 266-282 (2019). MSC: 35K51 35B30 35K91 PDFBibTeX XMLCite \textit{M. Ferhat}, Electron. J. Math. Anal. Appl. 7, No. 1, 266--282 (2019; Zbl 1463.35300)
Al-Gharabli, Mohammad M.; Kafini, Mohammad M. A general decay result of a coupled system of nonlinear wave equations. (English) Zbl 1394.35269 Rend. Circ. Mat. Palermo (2) 67, No. 1, 145-157 (2018). MSC: 35L53 35L71 35R09 35B40 PDFBibTeX XMLCite \textit{M. M. Al-Gharabli} and \textit{M. M. Kafini}, Rend. Circ. Mat. Palermo (2) 67, No. 1, 145--157 (2018; Zbl 1394.35269) Full Text: DOI
Jiang, Xiaoli; Wang, Xiaofeng Global well-posedness for a class of Kirchhoff-type wave system. (English) Zbl 1415.35183 Adv. Math. Phys. 2017, Article ID 1620417, 18 p. (2017). MSC: 35L53 35R09 35L71 35B44 PDFBibTeX XMLCite \textit{X. Jiang} and \textit{X. Wang}, Adv. Math. Phys. 2017, Article ID 1620417, 18 p. (2017; Zbl 1415.35183) Full Text: DOI
Messaoudi, Salim A.; Al-Gharabli, Mohammad M. A general decay result of a nonlinear system of wave equations with infinite memories. (English) Zbl 1390.35184 Appl. Math. Comput. 259, 540-551 (2015). MSC: 35L53 35B40 35L72 35L70 PDFBibTeX XMLCite \textit{S. A. Messaoudi} and \textit{M. M. Al-Gharabli}, Appl. Math. Comput. 259, 540--551 (2015; Zbl 1390.35184) Full Text: DOI
Kafini, Mohammad; Messaoudi, Salim A. A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy. (English) Zbl 1282.35232 Indag. Math., New Ser. 24, No. 3, 602-612 (2013). MSC: 35L53 35R09 35B40 PDFBibTeX XMLCite \textit{M. Kafini} and \textit{S. A. Messaoudi}, Indag. Math., New Ser. 24, No. 3, 602--612 (2013; Zbl 1282.35232) Full Text: DOI
Zhang, Zai-Yun; Liu, Zhen-Hai; Gan, Xiang-Yang Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density. (English) Zbl 1275.35044 Appl. Anal. 92, No. 10, 2021-2048 (2013). MSC: 35B40 35L35 74D05 PDFBibTeX XMLCite \textit{Z.-Y. Zhang} et al., Appl. Anal. 92, No. 10, 2021--2048 (2013; Zbl 1275.35044) Full Text: DOI
Wu, Shun-Tang On decay and blow-up of solutions for a system of nonlinear wave equations. (English) Zbl 1258.35034 J. Math. Anal. Appl. 394, No. 1, 360-377 (2012). Reviewer: Petar Popivanov (Sofia) MSC: 35B40 35B44 35R09 35L53 35L72 PDFBibTeX XMLCite \textit{S.-T. Wu}, J. Math. Anal. Appl. 394, No. 1, 360--377 (2012; Zbl 1258.35034) Full Text: DOI
Mustafa, Muhammad I. Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations. (English) Zbl 1238.35156 Nonlinear Anal., Real World Appl. 13, No. 1, 452-463 (2012). MSC: 35Q74 74D05 35B35 74H20 74H55 PDFBibTeX XMLCite \textit{M. I. Mustafa}, Nonlinear Anal., Real World Appl. 13, No. 1, 452--463 (2012; Zbl 1238.35156) Full Text: DOI
Zhang, Zai-Yun; Liu, Zhen-Hai; Miao, Xiu-Jin; Chen, Yue-Zhong A note on decay properties for the solutions of a class of partial differential equation with memory. (English) Zbl 1295.35108 J. Appl. Math. Comput. 37, No. 1-2, 85-102 (2011). MSC: 35B40 35R09 PDFBibTeX XMLCite \textit{Z.-Y. Zhang} et al., J. Appl. Math. Comput. 37, No. 1--2, 85--102 (2011; Zbl 1295.35108) Full Text: DOI
Liu, W.; Yu, J. Global existence and uniform decay of solutions for a coupled system of nonlinear viscoelastic wave equations with not necessarily differentiable relaxation functions. (English) Zbl 1250.35139 Stud. Appl. Math. 127, No. 4, 315-344 (2011). Reviewer: Igor Bock (Bratislava) MSC: 35L53 35B40 35R09 35L77 PDFBibTeX XMLCite \textit{W. Liu} and \textit{J. Yu}, Stud. Appl. Math. 127, No. 4, 315--344 (2011; Zbl 1250.35139) Full Text: DOI
Said-Houari, Belkacem; Messaoudi, Salim. A.; Guesmia, Aissa General decay of solutions of a nonlinear system of viscoelastic wave equations. (English) Zbl 1246.35040 NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 6, 659-684 (2011). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35B40 35L53 35L70 PDFBibTeX XMLCite \textit{B. Said-Houari} et al., NoDEA, Nonlinear Differ. Equ. Appl. 18, No. 6, 659--684 (2011; Zbl 1246.35040) Full Text: DOI
Said-Houari, Belkacem Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms. (English) Zbl 1339.35169 Z. Angew. Math. Phys. 62, No. 1, 115-133 (2011). MSC: 35L57 74D10 74H40 35B40 35L75 35R09 45K05 PDFBibTeX XMLCite \textit{B. Said-Houari}, Z. Angew. Math. Phys. 62, No. 1, 115--133 (2011; Zbl 1339.35169) Full Text: DOI
Liu, Wenjun Global existence and uniform decay of solutions for a system of wave equations with dispersive and dissipative terms. (English) Zbl 1223.35219 Front. Math. China 5, No. 3, 555-574 (2010). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35L53 93D15 93D20 35B40 PDFBibTeX XMLCite \textit{W. Liu}, Front. Math. China 5, No. 3, 555--574 (2010; Zbl 1223.35219) Full Text: DOI
Liu, Wenjun General decay of solutions of a nonlinear system of viscoelastic equations. (English) Zbl 1195.35207 Acta Appl. Math. 110, No. 1, 153-165 (2010). MSC: 35L53 35B40 93D15 93D20 35L71 PDFBibTeX XMLCite \textit{W. Liu}, Acta Appl. Math. 110, No. 1, 153--165 (2010; Zbl 1195.35207) Full Text: DOI
Yu, Shengqi Polynomial stability of solutions for a system of nonlinear viscoelastic equations. (English) Zbl 1180.35116 Appl. Anal. 88, No. 7, 1039-1051 (2009). MSC: 35B40 35R09 35L71 PDFBibTeX XMLCite \textit{S. Yu}, Appl. Anal. 88, No. 7, 1039--1051 (2009; Zbl 1180.35116) Full Text: DOI
Liu, Wenjun Uniform decay of solutions for a quasilinear system of viscoelastic equations. (English) Zbl 1167.35318 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2257-2267 (2009). MSC: 35B40 35L75 45K05 35B37 35L55 93D15 93D20 PDFBibTeX XMLCite \textit{W. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2257--2267 (2009; Zbl 1167.35318) Full Text: DOI