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Author ID: toundykov.daniel Recent zbMATH articles by "Toundykov, Daniel"
Published as: Toundykov, Daniel

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 698 times in 416 Documents Cited by Year
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms. Zbl 1096.35021
Lasiecka, Irena; Toundykov, Daniel
90
2006
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Zbl 1172.35443
Daoulatli, Moez; Lasiecka, Irena; Toundykov, Daniel
62
2009
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Zbl 1183.35033
Alves, Claudianor O.; Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valeria N.; Rammaha, Mohammad A.; Toundykov, Daniel
58
2009
Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions. Zbl 1117.35050
Toundykov, Daniel
41
2007
On a wave equation with supercritical interior and boundary sources and damping terms. Zbl 1244.35092
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
36
2011
Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable. Zbl 1408.35101
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel
33
2012
Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent. Zbl 1151.35009
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
30
2008
Stabilization of the damped wave equation with Cauchy-Ventcel boundary conditions. Zbl 1239.35020
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Toundykov, Daniel
30
2009
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. Zbl 1302.35259
Guo, Yanqiu; Rammaha, Mohammad A.; Sakuntasathien, Sawanya; Titi, Edriss S.; Toundykov, Daniel
27
2014
Weak solutions and blow-up for wave equations of \(p\)-Laplacian type with supercritical sources. Zbl 1329.35214
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
26
2015
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions. Zbl 1259.35135
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel
24
2012
Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source. Zbl 1149.35060
Lasiecka, Irena; Toundykov, Daniel
24
2008
Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations. Zbl 1428.74139
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
23
2014
Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent. Zbl 1173.35025
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
20
2009
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping. Zbl 1204.35051
Bucci, Francesca; Toundykov, Daniel
18
2010
Well-posedness analysis for a linearization of a fluid-elasticity interaction. Zbl 1321.74020
Bociu, Lorena; Toundykov, Daniel; Zolésio, Jean-Paul
16
2015
Global well-posedness and stability of semilinear Mindlin-Timoshenko system. Zbl 1332.35210
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
15
2014
A cantilevered extensible beam in axial flow: semigroup well-posedness and postflutter regimes. Zbl 1390.74049
Howell, Jason S.; Toundykov, Daniel; Webster, Justin T.
15
2018
Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate. Zbl 1231.35253
Avalos, George; Toundykov, Daniel
13
2011
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
12
2012
Global existence and decay of energy for a nonlinear wave equation with \(p\)-Laplacian damping. Zbl 1254.35137
Rammaha, Mohammad A.; Toundykov, Daniel; Wilstein, Zahava
10
2012
A global Holmgren theorem for multidimensional hyperbolic partial differential equations. Zbl 1235.35058
Eller, Matthias; Toundykov, Daniel
9
2012
Attractors for non-dissipative irrotational von Karman plates with boundary damping. Zbl 1364.35203
Bociu, Lorena; Toundykov, Daniel
8
2012
Wave equations with super-critical interior and boundary nonlinearities. Zbl 1248.35128
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
8
2012
A nonlocal biharmonic operator and its connection with the classical analogue. Zbl 1372.35093
Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy
6
2017
Semigroup generation and “hidden” trace regularity of a dynamic plate with non-monotone boundary feedbacks. Zbl 1189.35035
Lasiecka, Irena; Toundykov, Daniel
6
2010
Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term. Zbl 1178.35262
Lasiecka, Irena; Toundykov, Daniel
5
2007
Optimal control in a free boundary fluid-elasticity interaction. Zbl 1334.49008
Toundykov, Daniel; Martin, Kristina; Castle, Lucas; Bociu, Lorena
5
2015
Carleman estimates for elliptic boundary value problems with applications to the stabilization of hyperbolic systems. Zbl 1263.35089
Eller, Matthias; Toundykov, Daniel
5
2012
Unified approach to stabilization of waves on compact surfaces by simultaneous interior and boundary feedbacks of unrestricted growth. Zbl 1311.35137
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Toundykov, Daniel
5
2014
Finite time blow-up in nonlinear suspension bridge models. Zbl 1312.34076
Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy
3
2014
Semiglobal exact controllability of nonlinear plates. Zbl 1327.93075
Eller, Matthias; Toundykov, Daniel
3
2015
Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping. Zbl 1272.35027
Bociu, Lorena; Radu, Petronela; Toundykov, Daniel
2
2013
Stabilization of wave dynamics by moving boundary. Zbl 1516.35565
Toundykov, Daniel; Zolésio, Jean-Paul
2
2018
Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources. Zbl 1379.35187
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
2
2017
A uniform discrete inf-sup inequality for finite element hydro-elastic models. Zbl 1351.76082
Toundykov, Daniel; Avalos, George
1
2016
Linearized hydro-elasticity: a numerical study. Zbl 1351.74022
Bociu, Lorena; Derochers, Steven; Toundykov, Daniel
1
2016
Wave equations with nonlinear sources and damping: weak vs. regular solutions. Zbl 1343.35169
Bociu, Lorena; Toundykov, Daniel
1
2013
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms – an intrinsic approach. Zbl 1403.35172
Lasiecka, Irena; Toundykov, Daniel
1
2007
Well-posedness and stability of a Mindlin-Timoshenko plate model with damping and sources. Zbl 1330.35258
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
1
2015
Feedback stabilization of a linear hydro-elastic system. Zbl 1395.74028
Bociu, Lorena; Derochers, Steven; Toundykov, Daniel
1
2018
A cantilevered extensible beam in axial flow: semigroup well-posedness and postflutter regimes. Zbl 1390.74049
Howell, Jason S.; Toundykov, Daniel; Webster, Justin T.
15
2018
Stabilization of wave dynamics by moving boundary. Zbl 1516.35565
Toundykov, Daniel; Zolésio, Jean-Paul
2
2018
Feedback stabilization of a linear hydro-elastic system. Zbl 1395.74028
Bociu, Lorena; Derochers, Steven; Toundykov, Daniel
1
2018
A nonlocal biharmonic operator and its connection with the classical analogue. Zbl 1372.35093
Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy
6
2017
Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources. Zbl 1379.35187
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
2
2017
A uniform discrete inf-sup inequality for finite element hydro-elastic models. Zbl 1351.76082
Toundykov, Daniel; Avalos, George
1
2016
Linearized hydro-elasticity: a numerical study. Zbl 1351.74022
Bociu, Lorena; Derochers, Steven; Toundykov, Daniel
1
2016
Weak solutions and blow-up for wave equations of \(p\)-Laplacian type with supercritical sources. Zbl 1329.35214
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
26
2015
Well-posedness analysis for a linearization of a fluid-elasticity interaction. Zbl 1321.74020
Bociu, Lorena; Toundykov, Daniel; Zolésio, Jean-Paul
16
2015
Optimal control in a free boundary fluid-elasticity interaction. Zbl 1334.49008
Toundykov, Daniel; Martin, Kristina; Castle, Lucas; Bociu, Lorena
5
2015
Semiglobal exact controllability of nonlinear plates. Zbl 1327.93075
Eller, Matthias; Toundykov, Daniel
3
2015
Well-posedness and stability of a Mindlin-Timoshenko plate model with damping and sources. Zbl 1330.35258
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
1
2015
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping. Zbl 1302.35259
Guo, Yanqiu; Rammaha, Mohammad A.; Sakuntasathien, Sawanya; Titi, Edriss S.; Toundykov, Daniel
27
2014
Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations. Zbl 1428.74139
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
23
2014
Global well-posedness and stability of semilinear Mindlin-Timoshenko system. Zbl 1332.35210
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
15
2014
Unified approach to stabilization of waves on compact surfaces by simultaneous interior and boundary feedbacks of unrestricted growth. Zbl 1311.35137
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Toundykov, Daniel
5
2014
Finite time blow-up in nonlinear suspension bridge models. Zbl 1312.34076
Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy
3
2014
Regular solutions of wave equations with super-critical sources and exponential-to-logarithmic damping. Zbl 1272.35027
Bociu, Lorena; Radu, Petronela; Toundykov, Daniel
2
2013
Wave equations with nonlinear sources and damping: weak vs. regular solutions. Zbl 1343.35169
Bociu, Lorena; Toundykov, Daniel
1
2013
Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable. Zbl 1408.35101
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel
33
2012
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions. Zbl 1259.35135
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel
24
2012
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
12
2012
Global existence and decay of energy for a nonlinear wave equation with \(p\)-Laplacian damping. Zbl 1254.35137
Rammaha, Mohammad A.; Toundykov, Daniel; Wilstein, Zahava
10
2012
A global Holmgren theorem for multidimensional hyperbolic partial differential equations. Zbl 1235.35058
Eller, Matthias; Toundykov, Daniel
9
2012
Attractors for non-dissipative irrotational von Karman plates with boundary damping. Zbl 1364.35203
Bociu, Lorena; Toundykov, Daniel
8
2012
Wave equations with super-critical interior and boundary nonlinearities. Zbl 1248.35128
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
8
2012
Carleman estimates for elliptic boundary value problems with applications to the stabilization of hyperbolic systems. Zbl 1263.35089
Eller, Matthias; Toundykov, Daniel
5
2012
On a wave equation with supercritical interior and boundary sources and damping terms. Zbl 1244.35092
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
36
2011
Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate. Zbl 1231.35253
Avalos, George; Toundykov, Daniel
13
2011
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping. Zbl 1204.35051
Bucci, Francesca; Toundykov, Daniel
18
2010
Semigroup generation and “hidden” trace regularity of a dynamic plate with non-monotone boundary feedbacks. Zbl 1189.35035
Lasiecka, Irena; Toundykov, Daniel
6
2010
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Zbl 1172.35443
Daoulatli, Moez; Lasiecka, Irena; Toundykov, Daniel
62
2009
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Zbl 1183.35033
Alves, Claudianor O.; Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valeria N.; Rammaha, Mohammad A.; Toundykov, Daniel
58
2009
Stabilization of the damped wave equation with Cauchy-Ventcel boundary conditions. Zbl 1239.35020
Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valéria N.; Fukuoka, Ryuichi; Toundykov, Daniel
30
2009
Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent. Zbl 1173.35025
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
20
2009
Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent. Zbl 1151.35009
Chueshov, Igor; Lasiecka, Irena; Toundykov, Daniel
30
2008
Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source. Zbl 1149.35060
Lasiecka, Irena; Toundykov, Daniel
24
2008
Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions. Zbl 1117.35050
Toundykov, Daniel
41
2007
Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term. Zbl 1178.35262
Lasiecka, Irena; Toundykov, Daniel
5
2007
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms – an intrinsic approach. Zbl 1403.35172
Lasiecka, Irena; Toundykov, Daniel
1
2007
Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms. Zbl 1096.35021
Lasiecka, Irena; Toundykov, Daniel
90
2006
all top 5

Cited by 459 Authors

33 Cavalcanti, Marcelo Moreira
27 Lasiecka, Irena
24 Domingos Cavalcanti, Valéria Neves
23 Toundykov, Daniel
19 Rammaha, Mohammad A.
14 Jorge da Silva, Marcio Antonio
14 Webster, Justin T.
13 Khemmoudj, Ammar
12 Freitas, Mirelson M.
12 Vicente, André
11 Li, Chan
11 Messaoudi, Salim A.
9 Bociu, Lorena
9 Feng, Baowei
9 Guo, Yanqiu
9 Mustafa, Muhammad Islam
9 Xiao, Ti-Jun
8 Geredeli, Pelin Guven
8 Rodrigues, José H.
8 Santos, Mauro Lima
7 Liang, Jin
7 Ramos, Anderson J. A.
6 Avalos, George
6 Fukuoka, Ryuichi
6 Gonzalez Martinez, Victor Hugo
6 Ma, To Fu
6 Pei, Pei
6 Ye, Yaojun
5 Li, Fushan
5 Liao, Menglan
5 Liu, Wenjun
5 Narciso, Vando
5 Piṣkin, Erhan
5 Raposo, Carlos Alberto
5 Tcheugoué Tébou, Louis Roder
5 Tuffaha, Amjad M.
5 Zennir, Khaled
4 Abdelli, Mama
4 Almeida Júnior, Dilberto da Silva
4 Ammari, Kais
4 Bezerra, Flank David Morais
4 Boulaaras, Salah Mahmoud
4 Chai, Shugen
4 Corrêa, Wellington José
4 Eller, Matthias M.
4 Frota, Cicero Lopes
4 Ha, Tae Gab
4 Howell, Jason S.
4 Jin, Kunpeng
4 Kukavica, Igor
4 Liu, Gongwei
4 Liu, Lishan
4 Mansouri, Sabeur
4 Mezouar, Nadia
4 Nowakowski, Andrzej
4 Radu, Petronela
4 Sakuntasathien, Sawanya
4 Sun, Fenglong
4 Wu, Yonghong
4 Xue, Rui
4 Zanchetta, Janaina Pedroso
3 Alabau-Boussouira, Fatiha
3 Algharabli, Mohammad M.
3 Bahlil, Mounir
3 Benaissa, Abbes
3 Chueshov, Igor’ Dmitrievich
3 Cordeiro, Sebastião Martins Siqueira
3 Daoulatli, Moez
3 Dias Silva, Flávio Roberto
3 Falcão Nascimento, Flávio A.
3 Guesmia, Aissa A.
3 Hassine, Fathi
3 Hu, Qingying
3 Li, Jing
3 Li, Yangrong
3 Marchiori, Talita Druziani
3 Mu, Chunlai
3 Özer, Ahmet Özkan
3 Pokojovy, Michael
3 Shahrouzi, Mohammad
3 Shen, Lin
3 Soriano, Juan A.
3 Talahmeh, Ala A.
3 Vitillaro, Enzo
3 Wang, Bixiang
3 Webler, Claudete M.
3 Wu, Jieqiong
3 Wu, Shuntang
3 Yang, Zhijian
3 Yao, Pengfei
3 Zhang, Hongwei
2 Aouadi, Moncef
2 Aragão, Gleiciane S.
2 Bchatnia, Ahmed
2 Becklin, Andrew R.
2 Benabbas, Imen
2 Boumaza, Nouri
2 Bouzettouta, Lamine
2 Carrião, Paulo Cesar
2 Castle, Lucas
...and 359 more Authors
all top 5

Cited in 114 Serials

26 Journal of Mathematical Analysis and Applications
26 Journal of Differential Equations
24 Applied Mathematics and Optimization
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Mathematical Methods in the Applied Sciences
18 Applicable Analysis
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Evolution Equations and Control Theory
11 Discrete and Continuous Dynamical Systems. Series B
10 Nonlinear Analysis. Real World Applications
9 Mathematische Nachrichten
9 Discrete and Continuous Dynamical Systems
8 Computers & Mathematics with Applications
8 Journal of Dynamics and Differential Equations
8 Communications on Pure and Applied Analysis
6 International Journal of Control
5 Boundary Value Problems
4 SIAM Journal on Control and Optimization
4 Transactions of the American Mathematical Society
4 SIAM Journal on Mathematical Analysis
4 Taiwanese Journal of Mathematics
4 Journal of Dynamical and Control Systems
4 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Mathematical Physics
3 Nonlinearity
3 Automatica
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 Asymptotic Analysis
3 NoDEA. Nonlinear Differential Equations and Applications
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 SN Partial Differential Equations and Applications
2 Archive for Rational Mechanics and Analysis
2 Annales Polonici Mathematici
2 Journal of Functional Analysis
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Semigroup Forum
2 Acta Mathematicae Applicatae Sinica. English Series
2 MCSS. Mathematics of Control, Signals, and Systems
2 Journal of Integral Equations and Applications
2 The Journal of Geometric Analysis
2 Calculus of Variations and Partial Differential Equations
2 Electronic Journal of Differential Equations (EJDE)
2 Advances in Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Abstract and Applied Analysis
2 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Contemporary Mathematics
2 Journal of Evolution Equations
2 Dynamical Systems
2 Mediterranean Journal of Mathematics
2 Inverse Problems and Imaging
2 Arabian Journal of Mathematics
2 AIMS Mathematics
2 Mathematics in Engineering
2 Electronic Research Archive
1 Acta Mechanica
1 Inverse Problems
1 Israel Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Quaestiones Mathematicae
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Results in Mathematics
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 Optimization
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Topological Methods in Nonlinear Analysis
1 Applied Mathematics. Series B (English Edition)
1 Memoirs on Differential Equations and Mathematical Physics
1 Filomat
1 Complexity
1 Mathematical Problems in Engineering
1 Journal of Applied Analysis
1 European Journal of Control
1 Journal of Inequalities and Applications
1 Journal of Mathematical Fluid Mechanics
1 Journal of the European Mathematical Society (JEMS)
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Applied Mathematics and Computing
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Theoretical and Applied Mechanics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Journal of Mathematical Physics, Analysis, Geometry
1 Complex Variables and Elliptic Equations
1 Communications in Mathematical Analysis
...and 14 more Serials

Citations by Year