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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

40 Publications have been cited 570 times in 332 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
76
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
53
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
51
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
35
2007
On a wave equation with supercritical interior and boundary sources and damping terms. Zbl 1244.35092
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
31
2011
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
27
2008
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
24
2012
Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source. Zbl 1149.35060
Lasiecka, Irena; Toundykov, Daniel
23
2008
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
23
2014
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
23
2009
Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations. Zbl 1428.74139
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
18
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
16
2009
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
16
2015
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions. Zbl 1259.35135
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel
16
2012
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping. Zbl 1204.35051
Bucci, Francesca; Toundykov, Daniel
13
2010
Well-posedness analysis for a linearization of a fluid-elasticity interaction. Zbl 1321.74020
Bociu, Lorena; Toundykov, Daniel; Zolésio, Jean-Paul
12
2015
Global well-posedness and stability of semilinear Mindlin-Timoshenko system. Zbl 1332.35210
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
11
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.
11
2018
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
11
2012
Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate. Zbl 1231.35253
Avalos, George; Toundykov, Daniel
10
2011
Wave equations with super-critical interior and boundary nonlinearities. Zbl 1248.35128
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
8
2012
Attractors for non-dissipative irrotational von Karman plates with boundary damping. Zbl 1364.35203
Bociu, Lorena; Toundykov, Daniel
8
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
8
2012
A global Holmgren theorem for multidimensional hyperbolic partial differential equations. Zbl 1235.35058
Eller, Matthias; Toundykov, Daniel
7
2012
A nonlocal biharmonic operator and its connection with the classical analogue. Zbl 1372.35093
Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy
6
2017
Optimal control in a free boundary fluid-elasticity interaction. Zbl 1334.49008
Toundykov, Daniel; Martin, Kristina; Castle, Lucas; Bociu, Lorena
5
2015
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
Semigroup generation and “hidden” trace regularity of a dynamic plate with non-monotone boundary feedbacks. Zbl 1189.35035
Lasiecka, Irena; Toundykov, Daniel
4
2010
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
3
2014
Finite time blow-up in nonlinear suspension bridge models. Zbl 1312.34076
Radu, Petronela; Toundykov, Daniel; Trageser, Jeremy
3
2014
Carleman estimates for elliptic boundary value problems with applications to the stabilization of hyperbolic systems. Zbl 1263.35089
Eller, Matthias; Toundykov, Daniel
3
2012
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
Semiglobal exact controllability of nonlinear plates. Zbl 1327.93075
Eller, Matthias; Toundykov, Daniel
1
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
Stabilization of wave dynamics by moving boundary. Zbl 1516.35565
Toundykov, Daniel; Zolésio, Jean-Paul
1
2018
Well-posedness of Mindlin-Timoshenko plate with nonlinear boundary damping and sources. Zbl 1379.35187
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
1
2017
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
Feedback stabilization of a linear hydro-elastic system. Zbl 1395.74028
Bociu, Lorena; Derochers, Steven; Toundykov, Daniel
1
2018
A uniform discrete inf-sup inequality for finite element hydro-elastic models. Zbl 1351.76082
Toundykov, Daniel; Avalos, George
1
2016
A cantilevered extensible beam in axial flow: semigroup well-posedness and postflutter regimes. Zbl 1390.74049
Howell, Jason S.; Toundykov, Daniel; Webster, Justin T.
11
2018
Stabilization of wave dynamics by moving boundary. Zbl 1516.35565
Toundykov, Daniel; Zolésio, Jean-Paul
1
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
1
2017
A uniform discrete inf-sup inequality for finite element hydro-elastic models. Zbl 1351.76082
Toundykov, Daniel; Avalos, George
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
16
2015
Well-posedness analysis for a linearization of a fluid-elasticity interaction. Zbl 1321.74020
Bociu, Lorena; Toundykov, Daniel; Zolésio, Jean-Paul
12
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
1
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
23
2014
Local and global well-posedness of semilinear Reissner-Mindlin-Timoshenko plate equations. Zbl 1428.74139
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
18
2014
Global well-posedness and stability of semilinear Mindlin-Timoshenko system. Zbl 1332.35210
Pei, Pei; Rammaha, Mohammad A.; Toundykov, Daniel
11
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
3
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
24
2012
Geometrically constrained stabilization of wave equations with Wentzell boundary conditions. Zbl 1259.35135
Cavalcanti, Marcelo M.; Lasiecka, Irena; Toundykov, Daniel
16
2012
Convex integrals on Sobolev spaces. Zbl 1254.49006
Barbu, Viorel; Guo, Yanqiu; Rammaha, Mohammad A.; Toundykov, Daniel
11
2012
Wave equations with super-critical interior and boundary nonlinearities. Zbl 1248.35128
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
8
2012
Attractors for non-dissipative irrotational von Karman plates with boundary damping. Zbl 1364.35203
Bociu, Lorena; Toundykov, Daniel
8
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
8
2012
A global Holmgren theorem for multidimensional hyperbolic partial differential equations. Zbl 1235.35058
Eller, Matthias; Toundykov, Daniel
7
2012
Carleman estimates for elliptic boundary value problems with applications to the stabilization of hyperbolic systems. Zbl 1263.35089
Eller, Matthias; Toundykov, Daniel
3
2012
On a wave equation with supercritical interior and boundary sources and damping terms. Zbl 1244.35092
Bociu, Lorena; Rammaha, Mohammad; Toundykov, Daniel
31
2011
Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate. Zbl 1231.35253
Avalos, George; Toundykov, Daniel
10
2011
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping. Zbl 1204.35051
Bucci, Francesca; Toundykov, Daniel
13
2010
Semigroup generation and “hidden” trace regularity of a dynamic plate with non-monotone boundary feedbacks. Zbl 1189.35035
Lasiecka, Irena; Toundykov, Daniel
4
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
53
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
51
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
23
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
16
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
27
2008
Regularity of higher energies of wave equation with nonlinear localized damping and a nonlinear source. Zbl 1149.35060
Lasiecka, Irena; Toundykov, Daniel
23
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
35
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
76
2006
all top 5

Cited by 364 Authors

26 Cavalcanti, Marcelo Moreira
25 Lasiecka, Irena
23 Toundykov, Daniel
19 Domingos Cavalcanti, Valéria Neves
19 Rammaha, Mohammad A.
13 Webster, Justin T.
11 Jorge da Silva, Marcio Antonio
9 Bociu, Lorena
9 Guo, Yanqiu
9 Messaoudi, Salim A.
9 Mustafa, Muhammad Islam
9 Vicente, André
8 Freitas, Mirelson M.
8 Xiao, Ti-Jun
7 Geredeli, Pelin Guven
7 Khemmoudj, Ammar
7 Li, Chan
7 Rodrigues, José H.
7 Santos, Mauro Lima
6 Avalos, George
6 Feng, Baowei
6 Fukuoka, Ryuichi
6 Liang, Jin
6 Ma, To Fu
6 Pei, Pei
6 Ramos, Anderson J. A.
5 Gonzalez Martinez, Victor Hugo
5 Li, Fushan
5 Liu, Wenjun
5 Piṣkin, Erhan
5 Tcheugoué Tébou, Louis Roder
5 Ye, Yaojun
4 Bezerra, Flank David Morais
4 Corrêa, Wellington José
4 Frota, Cicero Lopes
4 Ha, Tae Gab
4 Howell, Jason S.
4 Liu, Lishan
4 Mezouar, Nadia
4 Narciso, Vando
4 Radu, Petronela
4 Raposo, Carlos Alberto
4 Sakuntasathien, Sawanya
4 Sun, Fenglong
4 Wu, Yonghong
4 Zennir, Khaled
3 Alabau-Boussouira, Fatiha
3 Bahlil, Mounir
3 Benaissa, Abbes
3 Boulaaras, Salah Mahmoud
3 Chueshov, Igor’ Dmitrievich
3 Cordeiro, Sebastião Martins Siqueira
3 Daoulatli, Moez
3 Dias Silva, Flávio Roberto
3 Eller, Matthias M.
3 Guesmia, Aissa
3 Liao, Menglan
3 Mu, Chunlai
3 Nowakowski, Andrzej F.
3 Pokojovy, Michael
3 Shen, Lin
3 Soriano, Juan A.
3 Tuffaha, Amjad M.
3 Vitillaro, Enzo
3 Wu, Shuntang
3 Xue, Rui
3 Yao, Pengfei
3 Zanchetta, Janaina Pedroso
2 Abdelli, Mama
2 Algharabli, Mohammad M.
2 Ammari, Kais
2 Aouadi, Moncef
2 Aragão, Gleiciane S.
2 Becklin, Andrew R.
2 Castle, Lucas
2 Chai, Shugen
2 Chen, Kewang
2 Deliyianni, Maria
2 Derochers, Steven
2 dos Santos, Manoel Jeremias
2 Drabla, Salah
2 Falcão Nascimento, Flávio A.
2 Feng, Hongyinping
2 Ferhat, Mohamed
2 Gomes Tavares, Eduardo H.
2 Hajjej, Zayd
2 Hu, Guanghui
2 Jiang, Xiaoli
2 Jin, Kunpeng
2 Jung, Il Hyo
2 Kafini, Mohammad Mustafa
2 Kang, Yong Han
2 Kass, Nicholas J.
2 Kian, Yavar
2 Kim, Daewook
2 Kukavica, Igor
2 Li, Gang
2 Li, Jing
2 Li, Shengjia
2 Liu, Gongwei
...and 264 more Authors
all top 5

Cited in 100 Serials

25 Journal of Mathematical Analysis and Applications
24 Journal of Differential Equations
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Applicable Analysis
17 Applied Mathematics and Optimization
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Evolution Equations and Control Theory
10 Nonlinear Analysis. Real World Applications
10 Discrete and Continuous Dynamical Systems. Series B
8 Computers & Mathematics with Applications
8 Communications on Pure and Applied Analysis
7 Discrete and Continuous Dynamical Systems
6 Mathematical Methods in the Applied Sciences
5 Journal of Dynamics and Differential Equations
5 Boundary Value Problems
4 International Journal of Control
4 Transactions of the American Mathematical Society
4 SIAM Journal on Mathematical Analysis
4 Journal of Dynamical and Control Systems
3 Journal of Mathematical Physics
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 SIAM Journal on Control and Optimization
3 Applied Mathematics Letters
3 NoDEA. Nonlinear Differential Equations and Applications
3 Taiwanese Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
2 Archive for Rational Mechanics and Analysis
2 Nonlinearity
2 Automatica
2 Journal of Functional Analysis
2 Mathematische Nachrichten
2 Proceedings of the American Mathematical Society
2 Quarterly of Applied Mathematics
2 Acta Applicandae Mathematicae
2 Asymptotic Analysis
2 MCSS. Mathematics of Control, Signals, and Systems
2 Journal of Integral Equations and Applications
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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 AIMS Mathematics
2 Mathematics in Engineering
2 Electronic Research Archive
2 SN Partial Differential Equations and Applications
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 Annales Polonici Mathematici
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Results in Mathematics
1 Semigroup Forum
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematicae Applicatae Sinica. English Series
1 Optimization
1 The Journal of Geometric Analysis
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 Filomat
1 Complexity
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Journal of Applied Analysis
1 European Journal of Control
1 Journal of Inequalities and Applications
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 Journal of Mathematical Physics, Analysis, Geometry
1 Complex Variables and Elliptic Equations
1 Communications in Mathematical Analysis
1 Inverse Problems and Imaging
1 Mathematical Modelling of Natural Phenomena
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Analysis and Mathematical Physics
1 Afrika Matematika
1 Arabian Journal of Mathematics
1 Palestine Journal of Mathematics
1 Nonautonomous Dynamical Systems
1 Results in Applied Mathematics

Citations by Year