Sun, Yue; Yang, Zhijian; Qu, Yanxia Strong global and exponential attractors for a nonlinear strongly damped hyperbolic equation. (English) Zbl 1512.37088 Discrete Contin. Dyn. Syst. 42, No. 12, 5613-5636 (2022). Reviewer: Qiangheng Zhang (Heze) MSC: 37L30 35B33 35B40 35B41 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Can, Nguyen Huu; Tuan, Nguyen Huy; O’Regan, Donal; Au, Vo Van On a final value problem for a class of nonlinear hyperbolic equations with damping term. (English) Zbl 1480.35404 Evol. Equ. Control Theory 10, No. 1, 103-127 (2021). MSC: 35R30 35L35 35L76 47J06 47H10 47A52 × Cite Format Result Cite Review PDF Full Text: DOI
Reitmann, Stefan; Jung, Bernhard; Kudryashova, Elena V.; Reitmann, Volker Observation stability and convergence for neural-type evolutionary variational inequalities. (English) Zbl 1470.93121 Differ. Uravn. Protsessy Upr. 2021, No. 2, 127-155 (2021). MSC: 93D05 93C25 93C20 93C80 × Cite Format Result Cite Review PDF Full Text: Link
Nguyen Huy Tuan; Vo Van Au; Xu, Runzhang; Wang, Renhai On the initial and terminal value problem for a class of semilinear strongly material damped plate equations. (English) Zbl 1448.35339 J. Math. Anal. Appl. 492, No. 2, Article ID 124481, 38 p. (2020). MSC: 35L90 35L35 35L76 74K20 35B44 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Pang, Tiantian; Shen, Jihong Global existence and asymptotic behaviour of solution for a damped nonlinear hyperbolic equation. (English) Zbl 1442.35035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111885, 8 p. (2020). MSC: 35B40 35L35 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Jiali; Shang, Yadong; Di, Huafei On decay and blow-up of solutions for a nonlinear beam equation with double damping terms. (English) Zbl 1499.35127 Bound. Value Probl. 2018, Paper No. 145, 17 p. (2018). MSC: 35B44 35K30 35K59 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Jiali; Shang, Yadong; Di, Huafei Existence and nonexistence of global solutions to the Cauchy problem of the nonlinear hyperbolic equation with damping term. (English) Zbl 1425.35114 AIMS Math. 3, No. 2, 322-342 (2018). MSC: 35K70 35K61 35L30 35L75 × Cite Format Result Cite Review PDF Full Text: DOI
Chovan, Jaroslav; Slodička, Marián Reconstruction of a time dependent source term from a single boundary measurement in Maxwell’s equations with nonlinear generalized Ohm’s law. (English) Zbl 1387.78014 J. Comput. Appl. Math. 334, 58-76 (2018). Reviewer: Eric Stachura (Haverford) MSC: 78M30 78A25 78M10 35B45 78M25 93B30 35Q60 35R30 65M32 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yu-Zhu Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation. (English) Zbl 1271.35054 J. Appl. Math. 2013, Article ID 353757, 8 p. (2013). MSC: 35L75 35B40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Guowang; Song, Ruili; Wang, Shubin Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation. (English) Zbl 1194.35273 J. Math. Anal. Appl. 368, No. 1, 19-31 (2010). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L75 35L35 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Changming; Yang, Zhijian Existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation. (English) Zbl 1207.35209 Math. Methods Appl. Sci. 33, No. 5, 563-575 (2010). Reviewer: Petr Necesal (Plzen) MSC: 35L30 35G25 74K10 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Kalantarov, Varga; Zelik, Sergey Finite-dimensional attractors for the quasi-linear strongly-damped wave equation. (English) Zbl 1183.35053 J. Differ. Equations 247, No. 4, 1120-1155 (2009). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35B41 37L30 35L72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Guowang; Da, Fang Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation. (English) Zbl 1170.35472 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 358-372 (2009). MSC: 35L30 35L75 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Changming Nonexistence of global solutions of nonlinear hyperbolic equation with material damping. (English) Zbl 1102.35364 Appl. Math. Mech., Engl. Ed. 27, No. 7, 975-981 (2006). MSC: 35L75 35Q53 35B40 35L35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Guowang; Wang, Yanping; Zhao, Zhancai Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation. (English) Zbl 1056.35124 Appl. Math. Lett. 17, No. 5, 491-497 (2004). MSC: 35L75 35B40 35L35 35B05 × Cite Format Result Cite Review PDF Full Text: DOI
Banks, H. T.; Pinter, Gabriella A. Maxwell-systems with nonlinear polarization. (English) Zbl 1041.78002 Nonlinear Anal., Real World Appl. 4, No. 3, 483-501 (2003). MSC: 78A40 78A60 44A35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pintér, Gabriella A. Global attractor for damped abstract nonlinear hyperbolic systems. (English) Zbl 1024.35020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 5, 653-668 (2003). Reviewer: Yuxia Guo (Giessen) MSC: 35B41 35L70 35K90 37L30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ackleh, A. S.; Banks, H. T.; Pinter, G. A. A nonlinear beam equation. (English) Zbl 1021.35128 Appl. Math. Lett. 15, No. 3, 381-387 (2002). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35Q72 74H20 74H25 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Ackleh, Azmy S.; Banks, H. T.; Pinter, Gabriella A. Well-posedness results for models of elastomers. (English) Zbl 1027.35138 J. Math. Anal. Appl. 268, No. 2, 440-456 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35Q72 74D10 35B30 74H20 74H25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Banks, H. T.; Musante, C. J.; Raye, J. K. Predictions for a distributed parameter model decribing the hepatic processing of 2,3,7,8-TCDD. (English) Zbl 0960.92014 Math. Comput. Modelling 33, No. 1-3, 49-64 (2001). MSC: 92C45 35Q92 65M60 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Demetriou, Michael A.; Ackleh, Azmy S.; Reich, Simeon Detection and accommodation of second order distributed parameter systems with abrupt changes in input term: Existence and approximation. (English) Zbl 1249.93068 Kybernetika 36, No. 1, 117-132 (2000). MSC: 93B40 × Cite Format Result Cite Review PDF Full Text: EuDML Link
Aassila, M.; Guesmia, A. Energy decay for a damped nonlinear hyperbolic equation. (English) Zbl 0942.35118 Appl. Math. Lett. 12, No. 3, 49-52 (1999). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35L75 35B40 35L35 × Cite Format Result Cite Review PDF Full Text: DOI
Banks, H. T.; Pinter, G. A. Approximation results for parameter estimation in a class of abstract nonlinear hyperbolic systems. (English) Zbl 0942.35120 Appl. Math. Lett. 12, No. 6, 129-133 (1999). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35L90 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
Banks, H. T. Remarks on well-posedness theorems for damped second-order systems. (English) Zbl 0941.34058 Appl. Math. Lett. 12, No. 6, 21-24 (1999). MSC: 34G10 65L60 74B10 × Cite Format Result Cite Review PDF Full Text: DOI
Banks, H. T.; Musante, C. J. Well-posedness for a class of abstract nonlinear parabolic systems with time delay. (English) Zbl 0928.35180 Nonlinear Anal., Theory Methods Appl. 35, No. 5, A, 629-648 (1999). Reviewer: Ion Onciulescu (Iaşi) MSC: 35Q80 92C45 35R10 35D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Banks, H. T.; Lybeck, N. J.; Gaitens, M. J.; Muñoz, B. C.; Yanyo, L. C. Computational methods for estimation in the modeling of nonlinear elastomers. (English) Zbl 1043.74530 Kybernetika 32, No. 6, 526-542 (1996). MSC: 74S99 × Cite Format Result Cite Review PDF Full Text: EuDML Link