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## Dong, Yunbai

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 Author ID: dong.yunbai Published as: Dong, Yunbai; Dong, Y.; Dong, Yun Bai; Dong, Y. B.
 Documents Indexed: 37 Publications since 1999
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#### Co-Authors

 5 single-authored 7 Cheng, Lixin 5 Zheng, Bentuo 3 Cheng, Qingjin 3 Dai, Duanxu 3 He, Hua 3 Lin, Pei-Kee 2 Chen, Lihong 1 Cetegen, Baki M. 1 Guo, Xianzhou 1 Han, Bing 1 Li, Xiujun 1 Sellitto, Antonio 1 Shi, Rui 1 Soteriou, Marios C. 1 Spielmann, Jerome 1 Tibullo, Vincenzo 1 Zhang, Wen 1 Zhou, Yu
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#### Serials

 4 Journal of Mathematical Analysis and Applications 4 Aequationes Mathematicae 2 Journal of Applied Mechanics 2 Studia Mathematica 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Acta Mathematica Sinica. English Series 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Publicationes Mathematicae 1 Results in Mathematics 1 Insurance Mathematics & Economics 1 Acta Mathematica Hungarica 1 International Journal of Production Research 1 Applied Mathematical Modelling 1 Continuum Mechanics and Thermodynamics 1 Physics of Fluids 1 Journal of Hebei University of Technology 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition)
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#### Fields

 21 Functional analysis (46-XX) 11 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 133 times in 78 Documents Cited by Year
On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces. Zbl 1220.46006
Cheng, Lixin; Dong, Yunbai
2011
On stability of nonlinear non-surjective $$\varepsilon$$-isometries of Banach spaces. Zbl 1266.46008
Cheng, Lixin; Dong, Yunbai; Zhang, Wen
2013
Universal stability of Banach spaces for $$\varepsilon$$-isometries. Zbl 1310.46012
Cheng, Lixin; Dai, Duanxu; Dong, Yunbai; Zhou, Yu
2014
Stability of Banach spaces via nonlinear $$\varepsilon$$-isometries. Zbl 1325.46010
Dai, Duanxu; Dong, Yunbai
2014
Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers. Zbl 1365.80003
Sellitto, A.; Tibullo, V.; Dong, Y.
2017
Analysis of concrete fracture using a novel cohesive crack method. Zbl 1201.74288
Dong, Y.; Wu, S.; Xu, S. S.; Zhang, Y.; Fang, S.
2010
Lagrangian simulation of the unsteady near field dynamics of planar buoyant plumes. Zbl 1185.76348
Soteriou, M. C.; Dong, Y.; Cetegen, B. M.
2002
A sharp operator version of the Bishop-Phelps theorem for operators from $$\ell_1$$ to CL-spaces. Zbl 1263.47036
Cheng, Lixin; Dai, Duanxu; Dong, Yunbai
2013
Generalized stabilities of two functional equations. Zbl 1284.39027
Dong, Yunbai
2013
On approximate isometries and application to stability of a functional equation. Zbl 1314.39033
Dong, Yunbai
2015
A note on the stability of nonsurjective $$\varepsilon$$-isometries of Banach spaces. Zbl 07243353
Cheng, Lixin; Dong, Yunbai
2020
Entropy analyses for hyperbolic heat conduction based on the thermomass model. Zbl 1217.80031
Dong, Y.; Guo, Z. Y.
2011
On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces. Zbl 1355.39030
Dong, Yunbai; Chen, Lihong
2016
On hyperstability of additive mappings onto Banach spaces. Zbl 1315.39018
Dong, Yunbai; Zheng, Bentuo
2015
A note on stability of Fischer-Muszély functional equation. Zbl 1320.39033
Dong, Yunbai; Cheng, Qingjin
2015
Applications of neural networks to solving SMT scheduling problems – a case study. Zbl 0948.90543
Chen, M.; Dong, Y.
1999
A note on the Hyers-Ulam problem. Zbl 1327.46017
Dong, Yunbai
2015
A displacement equivalence-based damage model for brittle materials. I: Theory. Zbl 1110.74685
Soh, C. K.; Liu, Y.; Yang, Y.; Dong, Y.
2003
A displacement equivalence-based damage model for brittle materials. II: Verification. Zbl 1110.74567
Liu, Y.; Soh, C. K.; Dong, Y.; Yang, Y.
2003
Uniform homeomorphisms of unit spheres and property H of Lebesgue-Bochner function spaces. Zbl 1373.46014
Cheng, Qing Jin; Dong, Yun Bai
2017
An optimal linear approximation for a class of nonlinear operators between uniform algebras. Zbl 1400.46020
Dong, Yunbai; Lin, Pei-Kee; Zheng, Bentuo
2018
Corrigendum to: “A universal theorem for stability of $$\varepsilon$$-isometries of Banach spaces”. Zbl 1451.46010
Cheng, Lixin; Dong, Yunbai
2020
A note on the stability of nonsurjective $$\varepsilon$$-isometries of Banach spaces. Zbl 07243353
Cheng, Lixin; Dong, Yunbai
2020
Corrigendum to: “A universal theorem for stability of $$\varepsilon$$-isometries of Banach spaces”. Zbl 1451.46010
Cheng, Lixin; Dong, Yunbai
2020
An optimal linear approximation for a class of nonlinear operators between uniform algebras. Zbl 1400.46020
Dong, Yunbai; Lin, Pei-Kee; Zheng, Bentuo
2018
Nonlinear heat-transport equation beyond Fourier law: application to heat-wave propagation in isotropic thin layers. Zbl 1365.80003
Sellitto, A.; Tibullo, V.; Dong, Y.
2017
Uniform homeomorphisms of unit spheres and property H of Lebesgue-Bochner function spaces. Zbl 1373.46014
Cheng, Qing Jin; Dong, Yun Bai
2017
On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces. Zbl 1355.39030
Dong, Yunbai; Chen, Lihong
2016
On approximate isometries and application to stability of a functional equation. Zbl 1314.39033
Dong, Yunbai
2015
On hyperstability of additive mappings onto Banach spaces. Zbl 1315.39018
Dong, Yunbai; Zheng, Bentuo
2015
A note on stability of Fischer-Muszély functional equation. Zbl 1320.39033
Dong, Yunbai; Cheng, Qingjin
2015
A note on the Hyers-Ulam problem. Zbl 1327.46017
Dong, Yunbai
2015
Universal stability of Banach spaces for $$\varepsilon$$-isometries. Zbl 1310.46012
Cheng, Lixin; Dai, Duanxu; Dong, Yunbai; Zhou, Yu
2014
Stability of Banach spaces via nonlinear $$\varepsilon$$-isometries. Zbl 1325.46010
Dai, Duanxu; Dong, Yunbai
2014
On stability of nonlinear non-surjective $$\varepsilon$$-isometries of Banach spaces. Zbl 1266.46008
Cheng, Lixin; Dong, Yunbai; Zhang, Wen
2013
A sharp operator version of the Bishop-Phelps theorem for operators from $$\ell_1$$ to CL-spaces. Zbl 1263.47036
Cheng, Lixin; Dai, Duanxu; Dong, Yunbai
2013
Generalized stabilities of two functional equations. Zbl 1284.39027
Dong, Yunbai
2013
On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces. Zbl 1220.46006
Cheng, Lixin; Dong, Yunbai
2011
Entropy analyses for hyperbolic heat conduction based on the thermomass model. Zbl 1217.80031
Dong, Y.; Guo, Z. Y.
2011
Analysis of concrete fracture using a novel cohesive crack method. Zbl 1201.74288
Dong, Y.; Wu, S.; Xu, S. S.; Zhang, Y.; Fang, S.
2010
A displacement equivalence-based damage model for brittle materials. I: Theory. Zbl 1110.74685
Soh, C. K.; Liu, Y.; Yang, Y.; Dong, Y.
2003
A displacement equivalence-based damage model for brittle materials. II: Verification. Zbl 1110.74567
Liu, Y.; Soh, C. K.; Dong, Y.; Yang, Y.
2003
Lagrangian simulation of the unsteady near field dynamics of planar buoyant plumes. Zbl 1185.76348
Soteriou, M. C.; Dong, Y.; Cetegen, B. M.
2002
Applications of neural networks to solving SMT scheduling problems – a case study. Zbl 0948.90543
Chen, M.; Dong, Y.
1999
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#### Cited by 69 Authors

 13 Cheng, Lixin 10 Dong, Yunbai 10 Peralta, Antonio M. 7 Zhou, Yu 6 Sun, Longfa 5 Fernández-Polo, Francisco J. 5 Liu, Chunyan 5 Zhang, Zihou 4 Becerra Guerrero, Julio 4 Cheng, Qingjin 4 Tanaka, Ryotaro 3 Acosta Vigil, María Dolores 3 Cueto-Avellaneda, María 3 Dai, Duanxu 3 Tan, Dongni 3 Zhang, Wen 2 Alestalo, Pekka 2 Banakh, Taras Onufrievich 2 Cabello Sánchez, Javier 2 Chen, Lihong 2 Ciepliński, Krzysztof 2 García, Domingo 2 Huang, XuJian 2 Jiménez-Vargas, Antonio 2 Kadets, Vladimir M. 2 Kim, Sun Kwang 2 Li, Jianze 2 Maestre, Manuel 2 Tu, Kun 2 Zheng, Bentuo 1 Alessa, Nazek 1 Bao, Lingxin 1 Cabrera-Padilla, M. G. 1 Chen, Xiaoling 1 Choi, Yun Sung 1 Choudhury, Binayak Samadder 1 Garcés, Jorge José 1 Hardtke, Jan-David 1 Hatori, Osamu 1 Kalenda, Ondřej F. K. 1 Lin, Lihua 1 Liu, Rui 1 Loganathan, K. 1 Luo, Sijie 1 Ma, Yanpeng 1 Martín Suarez, Miguel 1 Mondal, Pratap 1 Morales Campoy, Antonio 1 Mori, Michiya 1 Oi, Shiho 1 Ramírez, Maria Isabel 1 Saha, Parbati 1 Shen, Qinrui 1 Shi, Rui 1 Sun, Yuqi 1 Száz, Árpád 1 Tamilvanan, K. 1 Togashi, Rumi Shindo 1 Trotsenko, Dmitrĭ Aleksandrovich 1 Vestfrid, Igor A. 1 Villanueva, Ignacio 1 Villegas-Vallecillos, Moisés 1 Wang, Qin 1 Wang, Ruidong 1 Zavarzina, Olesia O. 1 Zhang, Jichao 1 Zhao, Kexin 1 Zheng, Zheming 1 Zhou, Xiangeng
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#### Cited in 26 Serials

 24 Journal of Mathematical Analysis and Applications 6 Acta Mathematica Sinica. English Series 4 Bulletin of the Australian Mathematical Society 4 Results in Mathematics 4 Aequationes Mathematicae 4 Linear Algebra and its Applications 3 Functional Analysis and its Applications 3 Journal of Functional Analysis 3 Annals of Functional Analysis 2 Linear and Multilinear Algebra 2 Studia Mathematica 1 Mathematical Notes 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of the Institute of Mathematics of Jussieu 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proyecciones 1 Journal of Fixed Point Theory and Applications 1 Banach Journal of Mathematical Analysis 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 13 Fields

 68 Functional analysis (46-XX) 21 Difference and functional equations (39-XX) 13 Operator theory (47-XX) 3 General topology (54-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)