Edit Profile (opens in new tab) Dong, Yunbai Co-Author Distance Author ID: dong.yunbai Published as: Dong, Yunbai; Dong, Yun Bai Documents Indexed: 42 Publications since 1999 Co-Authors: 22 Co-Authors with 29 Joint Publications 768 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Cheng, Lixin 6 Li, Lei 6 Zheng, Bentuo 3 Cheng, Qingjin 3 Dai, Duanxu 3 He, Hua 3 Lin, Pei-Kee 2 Chen, Lihong 2 Liu, Yu 2 Soh, Chee-Kiong 2 Yang, Yaowen 2 Zhou, Yu 1 Cetegen, Baki M. 1 Chen, M. 1 Gao, Yongxin 1 Guo, Xianzhou 1 Han, Bing 1 Hao, Jingjing 1 Leung, Denny H. 1 Li, Xiujun 1 Molnár, Lajos 1 Sellitto, Antonio 1 Shi, Rui 1 Soteriou, Marios C. 1 Sun, Longfa 1 Tibullo, Vincenzo 1 Wang, Liguang 1 Wang, Ya-Shu 1 Wong, Ngai-Ching 1 Zhang, Wen all top 5 Serials 4 Journal of Mathematical Analysis and Applications 4 Aequationes Mathematicae 3 Proceedings of the American Mathematical Society 2 Journal of Applied Mechanics 2 Studia Mathematica 2 Journal of Functional Analysis 2 Acta Mathematica Sinica. English Series 2 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 International Journal of Heat and Mass Transfer 1 Ukrainian Mathematical Journal 1 Annales Polonici Mathematici 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Publicationes Mathematicae Debrecen 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Southeast Asian Bulletin of Mathematics 1 Journal of Operator Theory 1 Acta Mathematica Hungarica 1 International Journal of Production Research 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 Complex Analysis and Operator Theory all top 5 Fields 28 Functional analysis (46-XX) 12 Difference and functional equations (39-XX) 10 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 189 times in 125 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 45 2011 On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces. Zbl 1266.46008 Cheng, Lixin; Dong, Yunbai; Zhang, Wen 45 2013 Universal stability of Banach spaces for \(\varepsilon \)-isometries. Zbl 1310.46012 Cheng, Lixin; Dai, Duanxu; Dong, Yunbai; Zhou, Yu 23 2014 Stability of Banach spaces via nonlinear \(\varepsilon\)-isometries. Zbl 1325.46010 Dai, Duanxu; Dong, Yunbai 15 2014 A note on the stability of nonsurjective \(\varepsilon\)-isometries of Banach spaces. Zbl 1472.46004 Cheng, Lixin; Dong, Yunbai 15 2020 On approximate isometries and application to stability of a functional equation. Zbl 1314.39033 Dong, Yunbai 7 2015 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. 7 2017 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 7 2013 Lagrangian simulation of the unsteady near field dynamics of planar buoyant plumes. Zbl 1185.76348 Soteriou, M. C.; Dong, Y.; Cetegen, B. M. 6 2002 Generalized stabilities of two functional equations. Zbl 1284.39027 Dong, Yunbai 6 2013 Entropy analyses for hyperbolic heat conduction based on the thermomass model. Zbl 1217.80031 Dong, Y.; Guo, Z. Y. 5 2011 On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces. Zbl 1355.39030 Dong, Yunbai; Chen, Lihong 4 2016 Corrigendum to: “A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces”. Zbl 1451.46010 Cheng, Lixin; Dong, Yunbai 4 2020 A note on stability of Fischer-Muszély functional equation. Zbl 1320.39033 Dong, Yunbai; Cheng, Qingjin 3 2015 Transformations preserving the norm of means between positive cones of general and commutative \(C^*\)-algebras. Zbl 07734186 Dong, Yunbai; Li, Lei; Molnár, Lajos; Wong, Ngai-Ching 3 2022 On hyperstability of additive mappings onto Banach spaces. Zbl 1315.39018 Dong, Yunbai; Zheng, Bentuo 2 2015 Uniform homeomorphisms of unit spheres and property H of Lebesgue-Bochner function spaces. Zbl 1373.46014 Cheng, Qing Jin; Dong, Yun Bai 2 2017 An optimal linear approximation for a class of nonlinear operators between uniform algebras. Zbl 1400.46020 Dong, Yunbai; Lin, Pei-Kee; Zheng, Bentuo 2 2018 A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces. Zbl 1288.46012 Cheng, Li Xin; Dong, Yun Bai 2 2012 On Banach-Stone type theorems in uniform multiplicative subgroups of \(C(K)\)-spaces. Zbl 1438.46036 Dong, Yunbai; Lin, Pei-Kee; Zheng, Bentuo 2 2018 A displacement equivalence-based damage model for brittle materials. I: Theory. Zbl 1110.74685 Soh, C. K.; Liu, Y.; Yang, Y.; Dong, Y. 1 2003 A displacement equivalence-based damage model for brittle materials. II: Verification. Zbl 1110.74567 Liu, Y.; Soh, C. K.; Dong, Y.; Yang, Y. 1 2003 Applications of neural networks to solving SMT scheduling problems – a case study. Zbl 0948.90543 Chen, M.; Dong, Y. 1 1999 A note on the Hyers-Ulam problem. Zbl 1327.46017 Dong, Yunbai 1 2015 Characterization of normed linear spaces with generalized Mazur intersection property. Zbl 1300.46014 Dong, Yunbai; Cheng, Qingjin 1 2013 Transformations preserving the norm of means between positive cones of general and commutative \(C^*\)-algebras. Zbl 07734186 Dong, Yunbai; Li, Lei; Molnár, Lajos; Wong, Ngai-Ching 3 2022 A note on the stability of nonsurjective \(\varepsilon\)-isometries of Banach spaces. Zbl 1472.46004 Cheng, Lixin; Dong, Yunbai 15 2020 Corrigendum to: “A universal theorem for stability of \(\varepsilon\)-isometries of Banach spaces”. Zbl 1451.46010 Cheng, Lixin; Dong, Yunbai 4 2020 An optimal linear approximation for a class of nonlinear operators between uniform algebras. Zbl 1400.46020 Dong, Yunbai; Lin, Pei-Kee; Zheng, Bentuo 2 2018 On Banach-Stone type theorems in uniform multiplicative subgroups of \(C(K)\)-spaces. Zbl 1438.46036 Dong, Yunbai; Lin, Pei-Kee; Zheng, Bentuo 2 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. 7 2017 Uniform homeomorphisms of unit spheres and property H of Lebesgue-Bochner function spaces. Zbl 1373.46014 Cheng, Qing Jin; Dong, Yun Bai 2 2017 On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces. Zbl 1355.39030 Dong, Yunbai; Chen, Lihong 4 2016 On approximate isometries and application to stability of a functional equation. Zbl 1314.39033 Dong, Yunbai 7 2015 A note on stability of Fischer-Muszély functional equation. Zbl 1320.39033 Dong, Yunbai; Cheng, Qingjin 3 2015 On hyperstability of additive mappings onto Banach spaces. Zbl 1315.39018 Dong, Yunbai; Zheng, Bentuo 2 2015 A note on the Hyers-Ulam problem. Zbl 1327.46017 Dong, Yunbai 1 2015 Universal stability of Banach spaces for \(\varepsilon \)-isometries. Zbl 1310.46012 Cheng, Lixin; Dai, Duanxu; Dong, Yunbai; Zhou, Yu 23 2014 Stability of Banach spaces via nonlinear \(\varepsilon\)-isometries. Zbl 1325.46010 Dai, Duanxu; Dong, Yunbai 15 2014 On stability of nonlinear non-surjective \(\varepsilon \)-isometries of Banach spaces. Zbl 1266.46008 Cheng, Lixin; Dong, Yunbai; Zhang, Wen 45 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 7 2013 Generalized stabilities of two functional equations. Zbl 1284.39027 Dong, Yunbai 6 2013 Characterization of normed linear spaces with generalized Mazur intersection property. Zbl 1300.46014 Dong, Yunbai; Cheng, Qingjin 1 2013 A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces. Zbl 1288.46012 Cheng, Li Xin; Dong, Yun Bai 2 2012 On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces. Zbl 1220.46006 Cheng, Lixin; Dong, Yunbai 45 2011 Entropy analyses for hyperbolic heat conduction based on the thermomass model. Zbl 1217.80031 Dong, Y.; Guo, Z. Y. 5 2011 A displacement equivalence-based damage model for brittle materials. I: Theory. Zbl 1110.74685 Soh, C. K.; Liu, Y.; Yang, Y.; Dong, Y. 1 2003 A displacement equivalence-based damage model for brittle materials. II: Verification. Zbl 1110.74567 Liu, Y.; Soh, C. K.; Dong, Y.; Yang, Y. 1 2003 Lagrangian simulation of the unsteady near field dynamics of planar buoyant plumes. Zbl 1185.76348 Soteriou, M. C.; Dong, Y.; Cetegen, B. M. 6 2002 Applications of neural networks to solving SMT scheduling problems – a case study. Zbl 0948.90543 Chen, M.; Dong, Y. 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 109 Authors 15 Cheng, Lixin 15 Sun, Longfa 14 Dong, Yunbai 14 Peralta, Antonio M. 9 Zhou, Yu 8 Dai, Duanxu 7 Cueto-Avellaneda, María 6 Zhang, Wen 6 Zheng, Bentuo 5 Cheng, Qingjin 5 Fernández-Polo, Francisco J. 5 Liu, Chunyan 5 Zhang, Zihou 4 Becerra Guerrero, Julio 4 Tan, Dongni 4 Tanaka, Ryotaro 4 Yin, Jifu 3 Acosta Vigil, María Dolores 3 Banakh, Taras Onufrievich 3 Ciepliński, Krzysztof 3 Fang, Quanqing 3 García, Domingo 3 Huang, XuJian 3 Li, Lei 3 Maestre, Manuel 3 Miura, Takeshi 3 Mondal, Pratap 3 Saha, Parbati 3 Sun, Yuqi 3 Wang, Ruidong 3 Zhang, Jichao 2 Alestalo, Pekka 2 Cabello Sánchez, Javier 2 Cabezas, David 2 Chen, Lihong 2 Choi, Yun Sung 2 Dantas, Sheldon 2 Ding, Guanggui 2 Hatori, Osamu 2 Hirota, Daisuke 2 Jiménez-Vargas, Antonio 2 Kadets’, Volodymyr Mykhaĭlovych 2 Kim, Sun Kwang 2 Li, Jianze 2 Luo, Sijie 2 Tu, Kun 2 Wang, Liguang 2 Zheng, Zheming 1 Alessa, Nazek A. 1 Bala, Neeru 1 Balasubramanian, Ganapathy 1 Bandyopadhyay, Pradipta 1 Bao, Lingxin 1 Başcı, Yasemin 1 Cabrera-Padilla, M. G. 1 Chen, Junxi 1 Chen, Xiaoling 1 Choi, Ginkyu 1 Choudhury, Binayak Samadder 1 Choudhuryr, B. S. 1 Chqudhury, Binayak S. 1 El Abbassi, El Mustapha 1 Enami, Yuta 1 Garcés, Jorge José 1 Gothwal, Deepak 1 Gyenti, Bálint 1 Hardtke, Jan-David 1 Jung, Mingu 1 Jung, Soon-Mo 1 Kalenda, Ondřej F. K. 1 Leung, Denny H. 1 Liao, Chingjou 1 Lin, Lihua 1 Liu, Rui 1 Loganathan, K. 1 Lu, Xiao Qi 1 Ma, Yanpeng 1 Martín Suarez, Miguel 1 Misir, Adil 1 Molnár, Lajos 1 Morales Campoy, Antonio 1 Mori, Michiya 1 Ng, Chi-Keung 1 Niu, Yuexing 1 Öǧrekçi, Süleyman 1 Oi, Shiho 1 Oubbi, Lahbib 1 Que, Haixin 1 Ramesh, Golla 1 Ramírez, Maria Isabel 1 Roldán, Óscar 1 Samanta, Tapas Kumar 1 Shen, Qinrui 1 Shi, Luoyi 1 Shi, Rui 1 Sun, Yinghua 1 Száz, Árpád 1 Tamilvanan, Kandhasamy 1 Togashi, Rumi Shindo 1 Trotsenko, Dmitrĭ Aleksandrovich ...and 9 more Authors all top 5 Cited in 40 Serials 29 Journal of Mathematical Analysis and Applications 8 Results in Mathematics 8 Acta Mathematica Sinica. English Series 6 Linear Algebra and its Applications 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Studia Mathematica 5 Aequationes Mathematicae 5 Annals of Functional Analysis 4 Bulletin of the Australian Mathematical Society 3 Indian Journal of Pure & Applied Mathematics 3 Linear and Multilinear Algebra 3 Functional Analysis and its Applications 3 Journal of Functional Analysis 3 Quaestiones Mathematicae 2 Proceedings of the American Mathematical Society 2 Banach Journal of Mathematical Analysis 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Annales Polonici Mathematici 1 Demonstratio Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Tatra Mountains Mathematical Publications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Journal of Inequalities and Applications 1 Journal of the Institute of Mathematics of Jussieu 1 Thai Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proyecciones 1 Journal of Fixed Point Theory and Applications 1 Acta Mathematica Sinica. Chinese Series 1 Operators and Matrices 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Advances in Operator Theory all top 5 Cited in 14 Fields 108 Functional analysis (46-XX) 29 Difference and functional equations (39-XX) 27 Operator theory (47-XX) 5 Nonassociative rings and algebras (17-XX) 5 General topology (54-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 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) Citations by Year