Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels. (English) Zbl 1479.35077 Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3141-3166 (2021). MSC: 35B35 35B40 35L90 35R09 45N05 45M10 PDFBibTeX XMLCite \textit{K.-P. Jin} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3141--3166 (2021; Zbl 1479.35077) Full Text: DOI
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun Asymptotic stability of energy for a weak viscoelastic plate equation with complementary frictional damping. (English) Zbl 1475.35046 Appl. Math. Optim. 84, No. 3, 3025-3044 (2021). MSC: 35B40 35L35 35L71 35Q93 35R09 74D05 74K20 PDFBibTeX XMLCite \textit{K.-P. Jin} et al., Appl. Math. Optim. 84, No. 3, 3025--3044 (2021; Zbl 1475.35046) Full Text: DOI
Li, Chan; Liang, Jin; Xiao, Ti-Jun Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping. (English) Zbl 1458.35060 J. Differ. Equations 271, 76-106 (2021). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B40 47D06 93D15 74D10 35B35 35B30 74M05 35L20 PDFBibTeX XMLCite \textit{C. Li} et al., J. Differ. Equations 271, 76--106 (2021; Zbl 1458.35060) Full Text: DOI
Li, Chan; Liang, Jin; Xiao, Ti-Jun Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping. (English) Zbl 1426.93271 Appl. Math. Comput. 321, 593-601 (2018). MSC: 93D20 35B40 35L05 35L20 35B35 93C20 93D15 PDFBibTeX XMLCite \textit{C. Li} et al., Appl. Math. Comput. 321, 593--601 (2018; Zbl 1426.93271) Full Text: DOI
Li, Chan; Liang, Jin; Xiao, Ti-Jun Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions. (English) Zbl 1415.35205 Z. Angew. Math. Phys. 69, No. 4, Paper No. 102, 25 p. (2018). MSC: 35L71 35B30 35L20 35B40 35L90 47D06 PDFBibTeX XMLCite \textit{C. Li} et al., Z. Angew. Math. Phys. 69, No. 4, Paper No. 102, 25 p. (2018; Zbl 1415.35205) Full Text: DOI
Gao, Yuan; Liang, Jin; Xiao, Ti-Jun A new method to obtain uniform decay rates for multidimensional wave equations with nonlinear acoustic boundary conditions. (English) Zbl 1383.93064 SIAM J. Control Optim. 56, No. 2, 1303-1320 (2018). MSC: 93D15 35L20 35L70 35B35 76Q05 PDFBibTeX XMLCite \textit{Y. Gao} et al., SIAM J. Control Optim. 56, No. 2, 1303--1320 (2018; Zbl 1383.93064) Full Text: DOI
Li, Chan; Xiao, Ti-Jun Asymptotics for wave equations with Wentzell boundary conditions and boundary damping. (English) Zbl 1382.35042 Semigroup Forum 94, No. 3, 520-531 (2017). MSC: 35B40 47D06 35L20 35B35 PDFBibTeX XMLCite \textit{C. Li} and \textit{T.-J. Xiao}, Semigroup Forum 94, No. 3, 520--531 (2017; Zbl 1382.35042) Full Text: DOI
Jiao, Zhe; Xiao, Ti-Jun Convergence and speed estimates for semilinear wave systems with nonautonomous damping. (English) Zbl 1352.35080 Math. Methods Appl. Sci. 39, No. 18, 5465-5474 (2016). MSC: 35L70 35B35 PDFBibTeX XMLCite \textit{Z. Jiao} and \textit{T.-J. Xiao}, Math. Methods Appl. Sci. 39, No. 18, 5465--5474 (2016; Zbl 1352.35080) Full Text: DOI
Jiao, Zhe; Xiao, Ti-Jun Acoustic wave motions stabilized by boundary memory damping. (English) Zbl 1339.35157 Appl. Math. Lett. 57, 82-89 (2016). MSC: 35L20 35B40 PDFBibTeX XMLCite \textit{Z. Jiao} and \textit{T.-J. Xiao}, Appl. Math. Lett. 57, 82--89 (2016; Zbl 1339.35157) Full Text: DOI
Wang, Rong-Nian; Chen, De-Han; Xiao, Ti-Jun Abstract fractional Cauchy problems with almost sectorial operators. (English) Zbl 1238.34015 J. Differ. Equations 252, No. 1, 202-235 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 34A08 35K90 47A60 34A12 34G20 47D06 PDFBibTeX XMLCite \textit{R.-N. Wang} et al., J. Differ. Equations 252, No. 1, 202--235 (2012; Zbl 1238.34015) Full Text: DOI
Chen, Jian-Hua; Xiao, Ti-Jun Strong stability and asymptotical almost periodicity of Volterra equations in Banach spaces. (English) Zbl 1213.45002 Adv. Difference Equ. 2011, Article ID 414906, 12 p. (2011). MSC: 45D05 45N05 PDFBibTeX XMLCite \textit{J.-H. Chen} and \textit{T.-J. Xiao}, Adv. Difference Equ. 2011, Article ID 414906, 12 p. (2011; Zbl 1213.45002) Full Text: DOI EuDML
Chen, Jian-Hua; Xiao, Ti-Jun; Liang, Jin Uniform exponential stability of solutions to abstract Volterra equations. (English) Zbl 1239.34065 J. Evol. Equ. 9, No. 4, 661-674 (2009). MSC: 34G10 34K30 34K20 PDFBibTeX XMLCite \textit{J.-H. Chen} et al., J. Evol. Equ. 9, No. 4, 661--674 (2009; Zbl 1239.34065) Full Text: DOI
Liang, Jin; Nagel, Rainer; Xiao, Ti-Jun Approximation theorems for the propagators of higher order abstract Cauchy problems. (English) Zbl 1142.34037 Trans. Am. Math. Soc. 360, No. 4, 1723-1739 (2008). Reviewer: Andras Batkai (Roma) MSC: 34G10 47D09 35R20 47D06 PDFBibTeX XMLCite \textit{J. Liang} et al., Trans. Am. Math. Soc. 360, No. 4, 1723--1739 (2008; Zbl 1142.34037) Full Text: DOI
Xiao, Ti-Jun; Liang, Jin Complete second order differential equations in Banach spaces with dynamic boundary conditions. (English) Zbl 1059.34034 J. Differ. Equations 200, No. 1, 105-136 (2004). Reviewer: Daniel C. Biles (Bowling Green) MSC: 34G10 34A12 35G05 PDFBibTeX XMLCite \textit{T.-J. Xiao} and \textit{J. Liang}, J. Differ. Equations 200, No. 1, 105--136 (2004; Zbl 1059.34034) Full Text: DOI
Xiao, Ti-Jun; Liang, Jin Second order parabolic equations in Banach spaces with dynamic boundary conditions. (English) Zbl 1086.34051 Trans. Am. Math. Soc. 356, No. 12, 4787-4809 (2004). Reviewer: S. Burys (Kraków) MSC: 34G10 47D06 35G10 PDFBibTeX XMLCite \textit{T.-J. Xiao} and \textit{J. Liang}, Trans. Am. Math. Soc. 356, No. 12, 4787--4809 (2004; Zbl 1086.34051) Full Text: DOI