## Xiao, Ti-Jun

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 Author ID: xiao.ti-jun Published as: Xiao, Ti-Jun; Xiao, Tijun; Xiao, Ti Jun; Xiao, TiJun External Links: MGP · dblp
 Documents Indexed: 161 Publications since 1988, including 1 Book Reviewing Activity: 144 Reviews Co-Authors: 42 Co-Authors with 158 Joint Publications 1,818 Co-Co-Authors
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### Co-Authors

 1 single-authored 141 Liang, Jin 15 Ding, Huisheng 10 Liu, James Hetao 9 Jin, Kunpeng 8 Li, Chan 7 Zhang, Jun 6 Hao, Zhaocai 6 Li, Fang 6 N’Guérékata, Gaston Mandata 6 Wang, Rongnian 3 Chen, Jianhua 3 Huang, Falun 3 Li, Ke 3 Luo, Jun-Ren 3 Lv, Zhiwei 3 Mu, Yunyi 3 Xu, Hong-Kun 2 Fan, Zhenbin 2 Gao, Yuan 2 Hu, Lianggen 2 Jiao, Zhe 2 Lin, Yu 2 Nagel, Rainer J. 1 Batty, Charles J. K. 1 Chen, Dehan 1 Deng, Jianping 1 Dong, Jiu-Gang 1 Gao, Jianwei 1 Ge, Chi-Shui 1 Ge, Cishui 1 Huang, Tingwen 1 Jin, Liang 1 Li, Hong-Xu 1 Maniar, Lahcen 1 O’Regan, Donal 1 Wan, Qian 1 Wang, Huanyu 1 Xu, Zhe 1 Yang, He 1 Zhang, Yuming 1 Zhou, Xianfeng 1 Zhu, Xingxing
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### Serials

 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Journal of Mathematical Analysis and Applications 9 Computers & Mathematics with Applications 7 Journal of Differential Equations 6 Advances in Difference Equations 5 Journal of Sichuan University. Natural Science Edition 4 Applicable Analysis 4 Acta Mathematica Sinica 4 Semigroup Forum 4 Applied Mathematics Letters 4 Fixed Point Theory and Applications 3 Applied Mathematics and Computation 3 Journal of Functional Analysis 3 Mathematical and Computer Modelling 3 Electronic Journal of Differential Equations (EJDE) 3 Taiwanese Journal of Mathematics 3 Journal of Nonlinear and Convex Analysis 2 Mathematical Methods in the Applied Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series A 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 International Journal of Evolution Equations 2 Boundary Value Problems 2 Banach Journal of Mathematical Analysis 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Journal of Kunming Institute of Technology 1 Science in China. Series A 1 Acta Mathematica Sinica. New Series 1 Chinese Science Bulletin 1 Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Studies 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Fractional Calculus & Applied Analysis 1 Acta Analysis Functionalis Applicata. AAFA 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Journal of Function Spaces and Applications 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Abstract Differential Equations and Applications (JADEA) 1 Evolution Equations and Control Theory 1 Nonautonomous Dynamical Systems
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### Fields

 86 Ordinary differential equations (34-XX) 62 Operator theory (47-XX) 54 Partial differential equations (35-XX) 23 Integral equations (45-XX) 12 Systems theory; control (93-XX) 11 Abstract harmonic analysis (43-XX) 8 Mechanics of deformable solids (74-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Functional analysis (46-XX) 3 Integral transforms, operational calculus (44-XX) 3 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Fluid mechanics (76-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

130 Publications have been cited 1,803 times in 914 Documents Cited by Year
Abstract fractional Cauchy problems with almost sectorial operators. Zbl 1238.34015
Wang, Rong-Nian; Chen, De-Han; Xiao, Ti-Jun
2012
Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces. Zbl 1154.46023
Xiao, Ti-Jun; Liang, Jin; Zhang, Jun
2008
Composition of pseudo almost automorphic and asymptotically almost automorphic functions. Zbl 1134.43001
Liang, Jin; Zhang, Jun; Xiao, Ti-Jun
2008
Nonlocal Cauchy problems governed by compact operator families. Zbl 1083.34045
Liang, Jin; Liu, James; Xiao, Ti-Jun
2004
Nonlocal impulsive problems for nonlinear differential equations in Banach spaces. Zbl 1173.34048
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2009
Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications. Zbl 1175.34076
Xiao, Ti-Jun; Zhu, Xing-Xing; Liang, Jin
2009
The Cauchy problem for higher-order abstract differential equations. Zbl 0915.34002
Xiao, Ti-Jun; Liang, Jin
1998
Semilinear integrodifferential equations with nonlocal initial conditions. Zbl 1068.45014
Liang, Jin; Xiao, Ti-Jun
2004
Some properties of pseudo-almost automorphic functions and applications to abstract differential equations. Zbl 1162.44002
Liang, Jin; N’Guérékata, Gaston M.; Xiao, Ti-Jun; Zhang, Jun
2009
A note on the fractional Cauchy problems with nonlocal initial conditions. Zbl 1251.45008
Wang, Rong-Nian; Xiao, Ti-Jun; Liang, Jin
2011
Nonlocal problems for integrodifferential equations. Zbl 1163.45010
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2008
Nonlocal Cauchy problems for semilinear evolution equations. Zbl 1009.34052
Liang, Jin; van Casteren, J.; Xiao, Ti-Jun
2002
Decomposition of weighted pseudo-almost periodic functions. Zbl 1198.43004
Liang, Jin; Xiao, Ti-Jun; Zhang, Jun
2010
Coupled second order evolution equations with fading memory: optimal energy decay rate. Zbl 1302.34115
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun
2014
Coupled second order semilinear evolution equations indirectly damped via memory effects. Zbl 1264.34121
Xiao, Ti-Jun; Liang, Jin
2013
Existence of classical solutions to nonautonomous nonlocal parabolic problems. Zbl 1159.35383
Xiao, Ti-Jun; Liang, Jin
2005
Almost automorphic solutions to nonautonomous semilinear evolution equations in Banach spaces. Zbl 1192.43005
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2010
Solvability of the Cauchy problem for infinite delay equations. Zbl 1058.34106
Liang, Jin; Xiao, Ti-Jun
2004
Abstract degenerate Cauchy problems in locally convex spaces. Zbl 1004.34043
Liang, Jin; Xiao, Tijun
2001
Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions. Zbl 1142.45005
Ding, Hui-Sheng; Xiao, Ti-Jun; Liang, Jin
2008
Second order differential operators with Feller-Wentzell type boundary conditions. Zbl 1143.47029
Xiao, Ti-Jun; Liang, Jin
2008
Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order. Zbl 1228.65136
Lv, Zhi-Wei; Liang, Jin; Xiao, Ti-Jun
2011
Pseudo-almost periodicity of some nonautonomous evolution equations with delay. Zbl 1122.34345
Ding, Hui-Sheng; Liang, Jin; N’Guérékata, Gaston M.; Xiao, Ti-Jun
2007
Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations. Zbl 1165.34387
Ding, Hui-Sheng; Liang, Jin; N’guérékata, Gaston M.; Xiao, Ti-Jun
2007
A note on semilinear abstract functional differential and integrodifferential equations with infinite delay. Zbl 1082.34543
Liang, Jin; Xiao, Ti-Jun; van Casteren, J.
2004
Complete second order differential equations in Banach spaces with dynamic boundary conditions. Zbl 1059.34034
Xiao, Ti-Jun; Liang, Jin
2004
Periodic solutions of delay impulsive differential equations. Zbl 1242.34134
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2011
Approximations of Laplace transforms and integrated semigroups. Zbl 0977.47034
Xiao, Ti-Jun; Liang, Jin
2000
Existence of positive almost automorphic solutions to nonlinear delay integral equations. Zbl 1161.45004
Ding, Hui-Sheng; Xiao, Ti-Jun; Liang, Jin
2009
A solution to an open problem for wave equations with generalized Wentzell boundary conditions. Zbl 1035.35061
Xiao, Ti-Jun; Liang, Jin
2003
Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations. Zbl 1187.43004
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2009
Nonlocal Cauchy problems for nonautonomous evolution equations. Zbl 1143.34320
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2006
Approximation theorems for the propagators of higher order abstract Cauchy problems. Zbl 1142.34037
Liang, Jin; Nagel, Rainer; Xiao, Ti-Jun
2008
Positive solutions of operator equations on half-line. Zbl 1086.47035
Hao, Zhao-Cai; Liang, Jin; Xiao, Ti-Jun
2006
On Stepanov-like (pseudo) almost automorphic functions. Zbl 1229.34092
Fan, Zhenbin; Liang, Jin; Xiao, Ti-Jun
2011
Second order parabolic equations in Banach spaces with dynamic boundary conditions. Zbl 1086.34051
Xiao, Ti-Jun; Liang, Jin
2004
Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces. Zbl 1238.45009
Xiao, Ti-Jun; Liang, Jin
2009
The Cauchy problem for nonlinear abstract functional differential equations with infinite delay. Zbl 0960.34067
Liang, Jin; Xiao, Ti-Jun
2000
Existence of almost periodic solutions for SICNNs with time-varying delays. Zbl 1223.34059
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2008
Time dependent Desch-Schappacher type perturbations of Volterra integral equations. Zbl 1032.45016
Xiao, Ti-Jun; Liang, Jin; Van Casteren, J.
2002
Weighted pseudo almost automorphic functions and WPAA solutions to semilinear evolution equations. Zbl 1370.34068
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2014
Solutions to nonautonomous abstract functional equations with infinite delay. Zbl 1105.47063
Liang, Jin; Xiao, Tijun
2006
Existence and uniqueness of $$C^{(n)}$$-almost periodic solutions to some ordinary differential equations. Zbl 1117.34042
Liang, Jin; Maniar, L.; N’guérékata, G. M.; Xiao, Ti-Jun
2007
Functional differential equations with infinite delay in Banach spaces. Zbl 0743.34082
Liang, Jin; Xiao, Tijun
1991
Pseudo almost periodic solutions to integro-differential equations of heat conduction in materials with memory. Zbl 1253.35195
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2012
Solutions to fractional differential equations with nonlocal initial condition in Banach spaces. Zbl 1196.34009
Lv, Zhi-Wei; Liang, Jin; Xiao, Ti-Jun
2010
Higher order abstract Cauchy problems: their existence and uniqueness families. Zbl 1073.34072
Xiao, Ti-Jun; Liang, Jin
2003
Existence of positive solutions for singular boundary value problem on time scales. Zbl 1116.34015
Hao, Zhao-Cai; Xiao, Ti-Jun; Liang, Jin
2007
A fixed point theorem for convex and decreasing operators. Zbl 1159.47306
Li, Ke; Liang, Jin; Xiao, Ti-Jun
2005
Laplace transforms and integrated, regularized semigroups in locally convex spaces. Zbl 0999.47030
Xiao, Tijun; Liang, Jin
1997
Uniform exponential stability of solutions to abstract Volterra equations. Zbl 1239.34065
Chen, Jian-Hua; Xiao, Ti-Jun; Liang, Jin
2009
Higher-order degenerate Cauchy problems in locally convex spaces. Zbl 1096.34035
Liang, Jin; Xiao, Ti-Jun
2005
Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions. Zbl 1243.35112
Xiao, Ti-Jun; Liang, Jin
2012
Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings. Zbl 1412.35323
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun
2019
Positive fixed points for nonlinear operators,. Zbl 1080.47043
Li, Ke; Liang, Jin; Xiao, Ti-Jun
2005
A new method to obtain uniform decay rates for multidimensional wave equations with nonlinear acoustic boundary conditions. Zbl 1383.93064
Gao, Yuan; Liang, Jin; Xiao, Ti-Jun
2018
Second order linear differential equations with almost periodic solutions. Zbl 0749.34035
Xiao, Tijun; Liang, Jin
1991
Existence of positive almost automorphic solutions to neutral nonlinear integral equations. Zbl 1151.45002
Ding, Hui-Sheng; Liang, Jin; N’Guérékata, Gaston M.; Xiao, Ti-Jun
2008
New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation. Zbl 1115.47044
Li, Ke; Liang, Jin; Xiao, Ti-Jun
2007
Hyperbolic singular perturbations for integrodifferential equations. Zbl 1074.45009
Liang, Jin; Liu, James; Xiao, TiJun
2005
Positive almost automorphic solutions for a class of non-linear delay integral equations. Zbl 1181.45015
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2009
On nonlinear neutral fractional integrodifferential inclusions with infinite delay. Zbl 1244.45003
Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun
2012
Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces. Zbl 1364.47047
Liang, Jin; Liu, James H.; Xiao, Ti-Jun; Xu, Hong-Kun
2017
Existence results for time scale boundary value problem. Zbl 1107.34018
Hao, Zhao-Cai; Liang, Jin; Xiao, Ti-Jun
2006
Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory. Zbl 1437.35512
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun
2019
Wellposedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups. Zbl 0892.34054
Jin, Liang; Xiao, Tijun
1998
Nonautonomous heat equations with generalized Wentzell boundary conditions. Zbl 1026.35043
Liang, Jin; Nagel, Rainer; Xiao, Ti-Jun
2003
Positive solutions of singular differential equations on measure chains. Zbl 1085.34019
Liang, Jin; Xiao, Ti-Jun; Hao, Zhao-Cai
2005
Polynomial stability for wave equations with Wentzell boundary conditions. Zbl 06876320
Li, Chan; Xiao, Ti-Jun
2017
Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions. Zbl 1415.35205
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2018
Multiplicative perturbations of $$C$$-regularized semigroups. Zbl 0997.47035
Xiao, Ti-Jun; Liang, Jin
2001
Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary. Zbl 1377.35237
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2017
Almost automorphic solutions to abstract fractional differential equations. Zbl 1197.34105
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2010
Multiplicative perturbations of local $$C$$-regularized semigroups. Zbl 1104.47047
Liang, Jin; Xiao, Ti-Jun; Li, Fang
2006
Solutions of abstract functional differential equations with infinite delay. Zbl 0744.34065
Liang, Jin; Xiao, Tijun
1991
On a comparison principle for delay coupled systems with nonlocal and nonlinear boundary conditions. Zbl 1238.35050
Liang, Jin; Wang, Huan-Yu; Xiao, Ti-Jun
2009
Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations. Zbl 1238.34112
Fan, Zhenbin; Liang, Jin; Xiao, Ti-Jun
2012
Weighted pseudo almost periodic functions and applications to evolution equations with delay. Zbl 1294.34067
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2013
A perturbation theorem of Miyadera type for local $$C$$-regularized semigroups. Zbl 1106.47039
Xiao, Tijun; Liang, Jin; Li, Fang
2006
Asymptotics for wave equations with Wentzell boundary conditions and boundary damping. Zbl 1382.35042
Li, Chan; Xiao, Ti-Jun
2017
Perturbations of existence families for abstract Cauchy problems. Zbl 1032.47025
Xiao, Ti-Jun; Liang, Jin
2002
Entire solutions of higher order abstract Cauchy problems. Zbl 0879.34062
Xiao, Tijun; Liang, Jin
1997
Integrated semigroups, cosine families and higher order abstract Cauchy problems. Zbl 0840.47034
Xiao, Tijun; Liang, Jin
1996
Weighted pseudo almost-periodic functions and applications to semilinear evolution equations. Zbl 1244.34083
Zhang, Jun; Xiao, Ti-Jun; Liang, Jin
2012
On the spectral and growth bound of semigroups associated with hyperbolic equations. Zbl 1074.47016
Batty, Charles J. K.; Liang, Jin; Xiao, Ti-Jun
2005
Functional differential equations with infinite delay in Fréchet space. Zbl 0725.34084
Liang, Jin; Xiao, Tijun
1989
Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions. Zbl 1202.47074
Ge, Ci-Shui; Liang, Jin; Xiao, Ti-Jun
2010
Convergence and speed estimates for semilinear wave systems with nonautonomous damping. Zbl 1352.35080
Jiao, Zhe; Xiao, Ti-Jun
2016
Asymptotic stability of the zero solution for degenerate retarded differential equations. Zbl 1185.34111
Zhou, Xian-Feng; Liang, Jin; Xiao, Ti-Jun
2009
Acoustic wave motions stabilized by boundary memory damping. Zbl 1339.35157
Jiao, Zhe; Xiao, Ti-Jun
2016
Stability of solutions to integro-differential equations in Hilbert spaces. Zbl 1232.34106
Chen, Jian-Hua; Liang, Jin; Xiao, Ti-Jun
2011
Solutions to fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and impulsive conditions. Zbl 1427.34105
Liang, Jin; Mu, Yunyi; Xiao, Ti-Jun
2019
A comparison principle for nonlocal coupled systems of fully nonlinear parabolic equations. Zbl 1179.35082
Wang, Rong-Nian; Xiao, Ti-Jun; Liang, Jin
2006
Nonlocal impulsive problems for integrodifferential equations. Zbl 1183.45004
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2009
A characterization of norm continuity of propagators for second order abstract differential equations. Zbl 0932.34064
Liang, Jin; Xiao, Tijun
1998
Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces. Zbl 1202.47059
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2010
Observability inequality and decay rate for wave equations with nonlinear boundary conditions. Zbl 1370.35209
Gao, Yuan; Liang, Jin; Xiao, Ti-Jun
2017
Generalized Mann iterations for approximating fixed points of a family of hemicontractions. Zbl 1203.47050
Hu, Liang-Gen; Xiao, Ti-Jun; Liang, Jin
2008
Criteria for the global invertibility of $$C^{1}$$ functions between Banach spaces. Zbl 1033.47043
Li, Hong-Xu; Liang, Jin; Xiao, Ti-Jun
2002
Semigroups arising from elastic systems with dissipation. Zbl 0972.34048
Xiao, Tijun; Liang, Jin
1997
Long-term dynamical behavior of the wave model with locally distributed frictional and viscoelastic damping. Zbl 1452.35104
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2021
Asymptotic behaviours of solutions for wave equations with damped Wentzell boundary conditions but no interior damping. Zbl 1458.35060
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2021
Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping. Zbl 1468.35020
Luo, Jun-Ren; Xiao, Ti-Jun
2021
Decay rates for semilinear wave equations with vanishing damping and Neumann boundary conditions. Zbl 1469.35037
Luo, Jun-Ren; Xiao, Ti-Jun
2021
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping. Zbl 1445.35067
Luo, Jun-Ren; Xiao, Ti-Jun
2020
Initial-value / nonlocal Cauchy problems for fractional differential equations involving $$\psi$$-Hilfer multivariable operators. Zbl 07268220
Liang, Jin; Mu, Yunyi; Xiao, Ti-Jun
2020
Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings. Zbl 1412.35323
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun
2019
Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory. Zbl 1437.35512
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun
2019
Solutions to fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and impulsive conditions. Zbl 1427.34105
Liang, Jin; Mu, Yunyi; Xiao, Ti-Jun
2019
A new method to obtain uniform decay rates for multidimensional wave equations with nonlinear acoustic boundary conditions. Zbl 1383.93064
Gao, Yuan; Liang, Jin; Xiao, Ti-Jun
2018
Dynamical behaviors of solutions to nonlinear wave equations with vanishing local damping and Wentzell boundary conditions. Zbl 1415.35205
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2018
Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping. Zbl 1426.93271
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2018
Optimal decay rates for semilinear wave equations with memory and Neumann boundary conditions. Zbl 1415.35053
Xiao, Ti-Jun; Zhang, Hui
2018
Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces. Zbl 1364.47047
Liang, Jin; Liu, James H.; Xiao, Ti-Jun; Xu, Hong-Kun
2017
Polynomial stability for wave equations with Wentzell boundary conditions. Zbl 06876320
Li, Chan; Xiao, Ti-Jun
2017
Boundary stabilization for wave equations with damping only on the nonlinear Wentzell boundary. Zbl 1377.35237
Li, Chan; Liang, Jin; Xiao, Ti-Jun
2017
Asymptotics for wave equations with Wentzell boundary conditions and boundary damping. Zbl 1382.35042
Li, Chan; Xiao, Ti-Jun
2017
Observability inequality and decay rate for wave equations with nonlinear boundary conditions. Zbl 1370.35209
Gao, Yuan; Liang, Jin; Xiao, Ti-Jun
2017
Convergence and speed estimates for semilinear wave systems with nonautonomous damping. Zbl 1352.35080
Jiao, Zhe; Xiao, Ti-Jun
2016
Acoustic wave motions stabilized by boundary memory damping. Zbl 1339.35157
Jiao, Zhe; Xiao, Ti-Jun
2016
A note on the IBVP for wave equations with dynamic boundary conditions. Zbl 1339.35159
Li, Chan; Xiao, Ti-Jun
2016
About periodicity of impulsive evolution equations through fixed point theory. Zbl 1347.34099
Liang, Jin; Xiao, Ti-Jun; Yang, He
2015
Coupled second order evolution equations with fading memory: optimal energy decay rate. Zbl 1302.34115
Jin, Kun-Peng; Liang, Jin; Xiao, Ti-Jun
2014
Weighted pseudo almost automorphic functions and WPAA solutions to semilinear evolution equations. Zbl 1370.34068
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2014
Lack of exponential decay in viscoelastic materials with voids. Zbl 1283.93143
Xiao, Ti-Jun; Zhang, Yuming
2014
Coupled second order semilinear evolution equations indirectly damped via memory effects. Zbl 1264.34121
Xiao, Ti-Jun; Liang, Jin
2013
Weighted pseudo almost periodic functions and applications to evolution equations with delay. Zbl 1294.34067
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2013
Abstract fractional Cauchy problems with almost sectorial operators. Zbl 1238.34015
Wang, Rong-Nian; Chen, De-Han; Xiao, Ti-Jun
2012
Pseudo almost periodic solutions to integro-differential equations of heat conduction in materials with memory. Zbl 1253.35195
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2012
Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions. Zbl 1243.35112
Xiao, Ti-Jun; Liang, Jin
2012
On nonlinear neutral fractional integrodifferential inclusions with infinite delay. Zbl 1244.45003
Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun
2012
Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations. Zbl 1238.34112
Fan, Zhenbin; Liang, Jin; Xiao, Ti-Jun
2012
Weighted pseudo almost-periodic functions and applications to semilinear evolution equations. Zbl 1244.34083
Zhang, Jun; Xiao, Ti-Jun; Liang, Jin
2012
A note on the fractional Cauchy problems with nonlocal initial conditions. Zbl 1251.45008
Wang, Rong-Nian; Xiao, Ti-Jun; Liang, Jin
2011
Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order. Zbl 1228.65136
Lv, Zhi-Wei; Liang, Jin; Xiao, Ti-Jun
2011
Periodic solutions of delay impulsive differential equations. Zbl 1242.34134
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2011
On Stepanov-like (pseudo) almost automorphic functions. Zbl 1229.34092
Fan, Zhenbin; Liang, Jin; Xiao, Ti-Jun
2011
Stability of solutions to integro-differential equations in Hilbert spaces. Zbl 1232.34106
Chen, Jian-Hua; Liang, Jin; Xiao, Ti-Jun
2011
Exponential stability of two coupled second-order evolution equations. Zbl 1222.93201
Wan, Qian; Xiao, Ti-Jun
2011
Notes on interpolation inequalities. Zbl 1206.26029
Dong, Jiu-Gang; Xiao, Ti-Jun
2011
Solutions to abstract integral equations and infinite delay evolution equations. Zbl 1236.45009
Liang, Jin; Xiao, Ti-Jun
2011
Decomposition of weighted pseudo-almost periodic functions. Zbl 1198.43004
Liang, Jin; Xiao, Ti-Jun; Zhang, Jun
2010
Almost automorphic solutions to nonautonomous semilinear evolution equations in Banach spaces. Zbl 1192.43005
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2010
Solutions to fractional differential equations with nonlocal initial condition in Banach spaces. Zbl 1196.34009
Lv, Zhi-Wei; Liang, Jin; Xiao, Ti-Jun
2010
Almost automorphic solutions to abstract fractional differential equations. Zbl 1197.34105
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2010
Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions. Zbl 1202.47074
Ge, Ci-Shui; Liang, Jin; Xiao, Ti-Jun
2010
Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces. Zbl 1202.47059
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2010
Notes on the propagators of evolution equations. Zbl 1197.47056
Lin, Yu; Xiao, Ti-Jun; Liang, Jin
2010
Multiple positive solutions for second order impulsive boundary value problems in Banach spaces. Zbl 1230.34055
Lv, Zhi-Wei; Liang, Jin; Xiao, Ti-Jun
2010
Nonlocal impulsive problems for nonlinear differential equations in Banach spaces. Zbl 1173.34048
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2009
Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications. Zbl 1175.34076
Xiao, Ti-Jun; Zhu, Xing-Xing; Liang, Jin
2009
Some properties of pseudo-almost automorphic functions and applications to abstract differential equations. Zbl 1162.44002
Liang, Jin; N&rsquo;Guérékata, Gaston M.; Xiao, Ti-Jun; Zhang, Jun
2009
Existence of positive almost automorphic solutions to nonlinear delay integral equations. Zbl 1161.45004
Ding, Hui-Sheng; Xiao, Ti-Jun; Liang, Jin
2009
Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations. Zbl 1187.43004
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2009
Blow-up and global existence of solutions to integral equations with infinite delay in Banach spaces. Zbl 1238.45009
Xiao, Ti-Jun; Liang, Jin
2009
Uniform exponential stability of solutions to abstract Volterra equations. Zbl 1239.34065
Chen, Jian-Hua; Xiao, Ti-Jun; Liang, Jin
2009
Positive almost automorphic solutions for a class of non-linear delay integral equations. Zbl 1181.45015
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2009
On a comparison principle for delay coupled systems with nonlocal and nonlinear boundary conditions. Zbl 1238.35050
Liang, Jin; Wang, Huan-Yu; Xiao, Ti-Jun
2009
Asymptotic stability of the zero solution for degenerate retarded differential equations. Zbl 1185.34111
Zhou, Xian-Feng; Liang, Jin; Xiao, Ti-Jun
2009
Nonlocal impulsive problems for integrodifferential equations. Zbl 1183.45004
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2009
Multiple positive periodic solutions for delay differential system. Zbl 1201.34106
Hao, Zhao-Cai; Xiao, Ti-Jun; Liang, Jin
2009
Positive solutions to singular and delay higher-order differential equations on time scales. Zbl 1181.34102
Hu, Liang-Gen; Xiao, Ti-Jun; Liang, Jin
2009
Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces. Zbl 1154.46023
Xiao, Ti-Jun; Liang, Jin; Zhang, Jun
2008
Composition of pseudo almost automorphic and asymptotically almost automorphic functions. Zbl 1134.43001
Liang, Jin; Zhang, Jun; Xiao, Ti-Jun
2008
Nonlocal problems for integrodifferential equations. Zbl 1163.45010
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2008
Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions. Zbl 1142.45005
Ding, Hui-Sheng; Xiao, Ti-Jun; Liang, Jin
2008
Second order differential operators with Feller-Wentzell type boundary conditions. Zbl 1143.47029
Xiao, Ti-Jun; Liang, Jin
2008
Approximation theorems for the propagators of higher order abstract Cauchy problems. Zbl 1142.34037
Liang, Jin; Nagel, Rainer; Xiao, Ti-Jun
2008
Existence of almost periodic solutions for SICNNs with time-varying delays. Zbl 1223.34059
Ding, Hui-Sheng; Liang, Jin; Xiao, Ti-Jun
2008
Existence of positive almost automorphic solutions to neutral nonlinear integral equations. Zbl 1151.45002
Ding, Hui-Sheng; Liang, Jin; N&rsquo;Guérékata, Gaston M.; Xiao, Ti-Jun
2008
Generalized Mann iterations for approximating fixed points of a family of hemicontractions. Zbl 1203.47050
Hu, Liang-Gen; Xiao, Ti-Jun; Liang, Jin
2008
Coupled non-local periodic parabolic systems with time delays. Zbl 1135.35346
Wang, Rong-Nian; Xiao, Ti-Jun; Liang, Jin
2008
Pseudo-almost periodicity of some nonautonomous evolution equations with delay. Zbl 1122.34345
Ding, Hui-Sheng; Liang, Jin; N&rsquo;Guérékata, Gaston M.; Xiao, Ti-Jun
2007
Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations. Zbl 1165.34387
Ding, Hui-Sheng; Liang, Jin; N&rsquo;guérékata, Gaston M.; Xiao, Ti-Jun
2007
Existence and uniqueness of $$C^{(n)}$$-almost periodic solutions to some ordinary differential equations. Zbl 1117.34042
Liang, Jin; Maniar, L.; N&rsquo;guérékata, G. M.; Xiao, Ti-Jun
2007
Existence of positive solutions for singular boundary value problem on time scales. Zbl 1116.34015
Hao, Zhao-Cai; Xiao, Ti-Jun; Liang, Jin
2007
New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation. Zbl 1115.47044
Li, Ke; Liang, Jin; Xiao, Ti-Jun
2007
Nonlocal Cauchy problems for nonautonomous evolution equations. Zbl 1143.34320
Liang, Jin; Liu, James H.; Xiao, Ti-Jun
2006
Positive solutions of operator equations on half-line. Zbl 1086.47035
Hao, Zhao-Cai; Liang, Jin; Xiao, Ti-Jun
2006
Solutions to nonautonomous abstract functional equations with infinite delay. Zbl 1105.47063
Liang, Jin; Xiao, Tijun
2006
Existence results for time scale boundary value problem. Zbl 1107.34018
Hao, Zhao-Cai; Liang, Jin; Xiao, Ti-Jun
2006
Multiplicative perturbations of local $$C$$-regularized semigroups. Zbl 1104.47047
Liang, Jin; Xiao, Ti-Jun; Li, Fang
2006
A perturbation theorem of Miyadera type for local $$C$$-regularized semigroups. Zbl 1106.47039
Xiao, Tijun; Liang, Jin; Li, Fang
2006
A comparison principle for nonlocal coupled systems of fully nonlinear parabolic equations. Zbl 1179.35082
Wang, Rong-Nian; Xiao, Ti-Jun; Liang, Jin
2006
Singular boundary value problem on infinite time scale. Zbl 1104.39015
Hao, Zhaocai; Liang, Jin; Xiao, Tijun
2006
Existence of classical solutions to nonautonomous nonlocal parabolic problems. Zbl 1159.35383
Xiao, Ti-Jun; Liang, Jin
2005
A fixed point theorem for convex and decreasing operators. Zbl 1159.47306
Li, Ke; Liang, Jin; Xiao, Ti-Jun
2005
Higher-order degenerate Cauchy problems in locally convex spaces. Zbl 1096.34035
Liang, Jin; Xiao, Ti-Jun
2005
Positive fixed points for nonlinear operators,. Zbl 1080.47043
Li, Ke; Liang, Jin; Xiao, Ti-Jun
2005
Hyperbolic singular perturbations for integrodifferential equations. Zbl 1074.45009
Liang, Jin; Liu, James; Xiao, TiJun
2005
Positive solutions of singular differential equations on measure chains. Zbl 1085.34019
Liang, Jin; Xiao, Ti-Jun; Hao, Zhao-Cai
2005
On the spectral and growth bound of semigroups associated with hyperbolic equations. Zbl 1074.47016
Batty, Charles J. K.; Liang, Jin; Xiao, Ti-Jun
2005
Asymptotic behavior of solutions for systems of periodic reaction-diffusion equations in unbounded domains. Zbl 1114.35104
Wang, Rongnian; Xiao, Tijun; Liang, Jin
2005
Nonlocal Cauchy problems governed by compact operator families. Zbl 1083.34045
Liang, Jin; Liu, James; Xiao, Ti-Jun
2004
Semilinear integrodifferential equations with nonlocal initial conditions. Zbl 1068.45014
Liang, Jin; Xiao, Ti-Jun
2004
Solvability of the Cauchy problem for infinite delay equations. Zbl 1058.34106
Liang, Jin; Xiao, Ti-Jun
2004
A note on semilinear abstract functional differential and integrodifferential equations with infinite delay. Zbl 1082.34543
Liang, Jin; Xiao, Ti-Jun; van Casteren, J.
2004
Complete second order differential equations in Banach spaces with dynamic boundary conditions. Zbl 1059.34034
Xiao, Ti-Jun; Liang, Jin
2004
Second order parabolic equations in Banach spaces with dynamic boundary conditions. Zbl 1086.34051
Xiao, Ti-Jun; Liang, Jin
2004
A solution to an open problem for wave equations with generalized Wentzell boundary conditions. Zbl 1035.35061
Xiao, Ti-Jun; Liang, Jin
2003
...and 30 more Documents
all top 5

### Cited by 833 Authors

 75 Liang, Jin 74 Xiao, Ti-Jun 34 Chen, Pengyu 33 Li, Yongxiang 32 Ezzinbi, Khalil 32 Kostić, Marko 32 N’Guérékata, Gaston Mandata 23 Zhang, Xuping 21 Li, Fang 20 Fan, Zhenbin 20 Li, Gang 19 Ding, Huisheng 19 Lizama, Carlos 19 Zhou, Yong 18 Chang, Yong-Kui 18 Diagana, Toka 18 Wang, Jinrong 18 Wang, Rongnian 16 Agarwal, Ravi P. 16 Cuevas, Claudio 15 Ponce, Rodrigo F. 14 Diop, Mamadou Abdoul 12 O’Regan, Donal 12 Xia, Zhinan 11 Abbas, Syed 11 Chang, Jung-Chan 10 Mu, Jia 9 Gou, Haide 9 Jin, Kunpeng 8 Cao, Junfei 8 de Andrade, Bruno 8 Fatajou, Samir 8 Li, Chan 8 Nieto Roig, Juan Jose 8 Wang, Chao 8 Wang, Huiwen 8 Yang, He 7 Fečkan, Michal 7 Li, Baolin 7 Lv, Zhiwei 7 Messaoudi, Salim A. 7 Zhang, Jun 6 Caraballo Garrido, Tomás 6 Cieutat, Philippe 6 Dong, Qixiang 6 Feng, Baowei 6 Fu, Xianlong 6 Hu, Zhanrong 6 Jin, Zhen 6 Kamenskiĭ, Mikhaĭl Igor’evich 6 Ke, Tran Dinh 6 Li, Yaning 6 Li, Yongkun 6 Liu, Lishan 6 Pinto, Manuel 6 Wu, Yonghong 6 Zhai, Chengbo 6 Zhang, Quanguo 6 Zhao, Zhihan 6 Zhu, Pengxian 5 Ahmad, Bashir 5 Al-saedi, Ahmed Eid Salem 5 Henríquez, Hernán R. 5 Huang, Zaitang 5 Ji, Shaochun 5 Liu, James Hetao 5 Mbaye, Mamadou Moustapha 5 Obukhovskiĭ, Valeriĭ Vladimirovich 5 Soto, Herme 5 Vitillaro, Enzo 5 Warma, Mahamadi 5 Wei, Mei 5 Zhang, Chuanyi 5 Zhu, Lanping 4 Al-Mahdi, Adel M. 4 Alvarez-Pardo, Edgardo 4 Alvarez, Edgardo 4 Aouiti, Chaouki 4 Bahuguna, Dhirendra 4 Balachandran, Krishnan 4 Blot, Joël 4 Bobrowski, Adam 4 Cavalcanti, Marcelo Moreira 4 Chen, Dehan 4 Cheng, Yi 4 Dhama, Soniya 4 Dridi, Farah 4 Lan, Do 4 Lasiecka, Irena 4 Li, Hong-Xu 4 Liang, Yue 4 Liu, Hsiang 4 Ma, Qinghua 4 Mahmudov, Nazim Idrisoglu 4 Mu, Yunyi 4 Murugesu, R. 4 Mustafa, Muhammad Islam 4 Trujillo, Juan J. 4 Xiang, Qiaomin 4 Zhou, Jianwen ...and 733 more Authors
all top 5

### Cited in 205 Serials

 70 Advances in Difference Equations 68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 Journal of Mathematical Analysis and Applications 37 Applied Mathematics and Computation 34 Abstract and Applied Analysis 32 Computers & Mathematics with Applications 23 Boundary Value Problems 19 Fractional Calculus & Applied Analysis 15 Journal of Differential Equations 15 Semigroup Forum 14 Journal of Integral Equations and Applications 13 Applicable Analysis 13 Applied Mathematics Letters 11 Nonlinear Analysis. Real World Applications 11 Mediterranean Journal of Mathematics 10 Mathematical and Computer Modelling 10 Differential Equations and Dynamical Systems 10 Journal of Applied Mathematics and Computing 10 Fixed Point Theory and Applications 9 Mathematical Methods in the Applied Sciences 9 Discrete Dynamics in Nature and Society 9 Discrete and Continuous Dynamical Systems. Series B 9 Evolution Equations and Control Theory 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Functional Analysis 8 Journal of Inequalities and Applications 8 International Journal of Nonlinear Sciences and Numerical Simulation 8 Journal of Function Spaces and Applications 8 Journal of Fixed Point Theory and Applications 7 Proceedings of the American Mathematical Society 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Dynamical and Control Systems 7 Nonautonomous Dynamical Systems 6 Journal of Computational and Applied Mathematics 6 Acta Applicandae Mathematicae 6 Positivity 6 Journal of Applied Mathematics 6 Banach Journal of Mathematical Analysis 5 Chaos, Solitons and Fractals 5 Results in Mathematics 5 Journal of Mathematical Sciences (New York) 5 Electronic Journal of Differential Equations (EJDE) 5 Filomat 5 Journal of Evolution Equations 5 Communications on Pure and Applied Analysis 5 Journal of Pseudo-Differential Operators and Applications 5 Afrika Matematika 5 Fractional Differential Calculus 5 Open Mathematics 4 Applied Mathematics and Optimization 4 Journal of Optimization Theory and Applications 4 Numerical Functional Analysis and Optimization 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematical Modelling 4 Topological Methods in Nonlinear Analysis 4 Discrete and Continuous Dynamical Systems 4 Mathematical Problems in Engineering 4 Acta Mathematica Sinica. English Series 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 International Journal of Differential Equations 3 Optimization 3 Turkish Journal of Mathematics 3 Complexity 3 Nonlinear Dynamics 3 African Diaspora Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Nonlinear Science and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Applied Analysis and Computation 3 Mathematical Sciences 3 Journal of Mathematics 3 Journal of Function Spaces 3 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Automatica 2 Collectanea Mathematica 2 Demonstratio Mathematica 2 Integral Equations and Operator Theory 2 Kybernetes 2 Kybernetika 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Mathematische Zeitschrift 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Bulletin of the Iranian Mathematical Society 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Computational and Applied Mathematics 2 Opuscula Mathematica 2 Journal of Applied Analysis 2 Taiwanese Journal of Mathematics 2 Revista Matemática Complutense ...and 105 more Serials
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### Cited in 34 Fields

 539 Ordinary differential equations (34-XX) 360 Operator theory (47-XX) 291 Partial differential equations (35-XX) 138 Integral equations (45-XX) 102 Systems theory; control (93-XX) 97 Abstract harmonic analysis (43-XX) 61 Real functions (26-XX) 55 Probability theory and stochastic processes (60-XX) 37 Mechanics of deformable solids (74-XX) 30 Numerical analysis (65-XX) 29 Biology and other natural sciences (92-XX) 25 Dynamical systems and ergodic theory (37-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Difference and functional equations (39-XX) 12 Integral transforms, operational calculus (44-XX) 11 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Fluid mechanics (76-XX) 4 General topology (54-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)