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Abstract
In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions. This is the general case of the recent results of Boulaaras’ works (Bull. Malays. Math. Sci. Soc. 43:725–755, 2020) and (Appl. Anal. 99:1724–1748, 2020).
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1 Qassim University, Department of Mathematics, College of Sciences and Arts, ArRas, Buraydah, Kingdom of Saudi Arabia (GRID:grid.412602.3) (ISNI:0000 0000 9421 8094); University of Oran 1, Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), Oran, Algeria (GRID:grid.440479.a) (ISNI:0000 0001 2347 0804)
2 University of El Oued, Department of Mathematics, Faculty of Exact Sciences, El Oued, Algeria (GRID:grid.442435.0) (ISNI:0000 0004 1786 3961)
3 Anand International College of Engineering, Jaipur, India (GRID:grid.449434.a) (ISNI:0000 0004 1800 3365)
4 King Khalid University, Department of Mathematics, Faculty of Science, Abha, Saudi Arabia (GRID:grid.412144.6) (ISNI:0000 0004 1790 7100); South Valley University, Mathematics Department, Faculty of Science, Qena, Egypt (GRID:grid.412707.7) (ISNI:0000 0004 0621 7833)
5 King Khalid University, College of Industrial Engineering, Abha, Saudi Arabia (GRID:grid.412144.6) (ISNI:0000 0004 1790 7100)