# zbMATH — the first resource for mathematics

## Shen, Yonghong

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 Author ID: shen.yonghong Published as: Shen, Y.; Shen, Y. H.; Shen, Yong-Hong; Shen, Yong-hong; Shen, Yonghong
 Documents Indexed: 53 Publications since 1986
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#### Co-Authors

 7 single-authored 17 Chen, Wei 6 Lan, Yaoyao 5 Wang, Faxing 4 Li, Yongjin 3 Qiu, Dong 1 Chauhan, Sunny 1 Dai, Lifang 1 Imdad, Mohammad 1 Kuang, Jianchao 1 Liang, Maolin 1 Sintunavarat, Wutiphol 1 Wang, Jing 1 Wang, Sanfu 1 Zhong, Mantian
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#### Serials

 5 Journal of Nonlinear Science and Applications 4 Journal of Intelligent and Fuzzy Systems 4 Advances in Difference Equations 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics 2 Iranian Journal of Fuzzy Systems 1 Fuzzy Sets and Systems 1 Information Sciences 1 Results in Mathematics 1 International Journal of Approximate Reasoning 1 Applied Mathematics Letters 1 Journal of the Egyptian Mathematical Society 1 Soft Computing 1 Journal of Inequalities and Applications 1 Journal of Computational Analysis and Applications 1 Journal of Sichuan Normal University. Natural Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Fixed Point Theory and Applications 1 Communications in Mathematical Research 1 Journal of Mathematical Research with Applications
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#### Fields

 13 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 8 General topology (54-XX) 5 Functional analysis (46-XX) 3 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 Measure and integration (28-XX)

#### Citations contained in zbMATH

35 Publications have been cited 178 times in 153 Documents Cited by Year
Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization. Zbl 1285.90068
Shen, Y.; Wen, Z.; Zhang, Yin
2014
Fixed point theorems in fuzzy metric spaces. Zbl 1232.54042
Shen, Yonghong; Qiu, Dong; Chen, Wei
2012
The Ulam stability of first order linear dynamic equations on time scales. Zbl 1390.34247
Shen, Yonghong
2017
Energy stability of thermocapillary convection in a model of the float- zone crystal-growth process. Zbl 0706.76049
Shen, Y.; Neitzel, G. P.; Jankowski, D. F.; Mittelmann, H. D.
1990
Variable precision rough set model over two universes and its properties. Zbl 1237.68216
Shen, Yonghong; Wang, Faxing
2011
Semi-active vibration control schemes for suspension systems using magnetorheological dampers. Zbl 1182.70074
Shen, Y.; Golnaraghi, M. F.; Heppler, G. R.
2006
On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures. Zbl 1331.28035
Shen, Yonghong
2014
An integrating factor approach to the Hyers-Ulam stability of a class of exact differential equations of second order. Zbl 1343.34135
Shen, Yonghong
2016
On the Ulam stability of first order linear fuzzy differential equations under generalized differentiability. Zbl 1377.34004
Shen, Yonghong
2015
Rough approximations of vague sets in fuzzy approximation space. Zbl 1232.03045
Shen, Yonghong; Wang, Faxing
2011
A fixed point approach to the Ulam stability of fuzzy differential equations under generalized differentiability. Zbl 1366.34006
Shen, Yonghong; Wang, Faxing
2016
Hyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability. Zbl 1422.34007
Shen, Yonghong
2015
Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform. Zbl 1309.65079
Chen, Wei; Shen, Yonghong
2014
Fixed point theory for cyclic $$\varphi$$-contractions in fuzzy metric spaces. Zbl 1333.54050
Shen, Yong-Hong; Qiu, Dong; Chen, Wei
2013
Comment on: “Common fixed point theorems for commutating mappings in fuzzy metric spaces”. Zbl 1256.54082
Shen, Yonghong; Chen, Wei; Wang, Sanfu
2012
On the Ulam stability of a class of Banach space valued linear differential equations of second order. Zbl 1417.34141
Shen, Yonghong; Chen, Wei; Lan, Yaoyao
2014
Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces. Zbl 1429.54058
Shen, Yonghong; Chen, Wei
2013
An efficient algorithm to determine fractal dimensions of point sets. Zbl 0969.37529
Füchslin, R. M.; Shen, Y.; Meier, P. F.
2001
A general method for the Ulam stability of linear differential equations. Zbl 1426.34070
Shen, Yonghong; Li, Yongjin
2019
The $$z$$-transform method for the Ulam stability of linear difference equations with constant coefficients. Zbl 1448.39026
Shen, Yonghong; Li, Yongjin
2018
On a class of projective Ricci flat Finsler metrics. Zbl 1399.53029
Cheng, X.; Shen, Y.; Ma, X.
2017
Laplace transform method for the Ulam stability of linear fractional differential equations with constant coefficients. Zbl 1366.34011
Shen, Yonghong; Chen, Wei
2017
Hyers-Ulam-Rassias stability of some additive fuzzy set-valued functional equations with the fixed point alternative. Zbl 07021791
Shen, Yonghong; Lan, Yaoyao; Chen, Wei
2014
On the general solution of a quadratic functional equation and its Ulam stability in various abstract spaces. Zbl 1312.39027
Shen, Yonghong; Lan, Yaoyao
2014
On the Ulam stability of a quadratic set-valued functional equation. Zbl 1301.39018
Wang, Faxing; Shen, Yonghong
2014
On convergence of fixed points in fuzzy metric spaces. Zbl 1297.54103
Shen, Yonghong; Qiu, Dong; Chen, Wei
2013
On relation between geometric momentum and annihilation operators on a two-dimensional sphere. Zbl 1282.81116
Liu, Q. H.; Shen, Y.; Xun, D. M.; Wang, X.
2013
A note on intuitionistic fuzzy mappings. Zbl 1260.03097
Shen, Yong-hong; Wang, Fa-xing; Chen, Wei
2012
The impulse response of a band-limited vibrator with rate-independent hysteretic damping. Zbl 1148.70012
Chen, Kui Fu; Shen, Y. H.
2008
Finite element analysis of V-ribbed belts using neural network based hyperelastic material model. Zbl 1349.74280
Shen, Y.; Chandrashekhara, K.; Breig, W. F.; Oliver, L. R.
2005
A probability distribution and convergence of the consistency index u in the analytic hierarchy process. Zbl 0714.60012
Shen, Y.
1990
Hyers-Ulam stability of first order nonhomogeneous linear dynamic equations on time scales. Zbl 1438.34351
Shen, Yonghong; Li, Yongjin
2019
On the Ulam stability of an $$n$$-dimensional quadratic functional equation. Zbl 1329.39034
Shen, Yonghong; Chen, Wei
2016
Simulation of crack propagation in fiber-reinforced bulk metallic glasses. Zbl 1183.74243
Zheng, G. P.; Shen, Y.
2010
Stability of thermocapillary convection during float-zone crystal growth. Zbl 0671.76063
Jankowski, D. F.; Neitzel, G. P.; Shen, Y. H.; Squire, T. H.
1988
A general method for the Ulam stability of linear differential equations. Zbl 1426.34070
Shen, Yonghong; Li, Yongjin
2019
Hyers-Ulam stability of first order nonhomogeneous linear dynamic equations on time scales. Zbl 1438.34351
Shen, Yonghong; Li, Yongjin
2019
The $$z$$-transform method for the Ulam stability of linear difference equations with constant coefficients. Zbl 1448.39026
Shen, Yonghong; Li, Yongjin
2018
The Ulam stability of first order linear dynamic equations on time scales. Zbl 1390.34247
Shen, Yonghong
2017
On a class of projective Ricci flat Finsler metrics. Zbl 1399.53029
Cheng, X.; Shen, Y.; Ma, X.
2017
Laplace transform method for the Ulam stability of linear fractional differential equations with constant coefficients. Zbl 1366.34011
Shen, Yonghong; Chen, Wei
2017
An integrating factor approach to the Hyers-Ulam stability of a class of exact differential equations of second order. Zbl 1343.34135
Shen, Yonghong
2016
A fixed point approach to the Ulam stability of fuzzy differential equations under generalized differentiability. Zbl 1366.34006
Shen, Yonghong; Wang, Faxing
2016
On the Ulam stability of an $$n$$-dimensional quadratic functional equation. Zbl 1329.39034
Shen, Yonghong; Chen, Wei
2016
On the Ulam stability of first order linear fuzzy differential equations under generalized differentiability. Zbl 1377.34004
Shen, Yonghong
2015
Hyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability. Zbl 1422.34007
Shen, Yonghong
2015
Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization. Zbl 1285.90068
Shen, Y.; Wen, Z.; Zhang, Yin
2014
On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures. Zbl 1331.28035
Shen, Yonghong
2014
Approximate solution for a class of second-order ordinary differential equations by the fuzzy transform. Zbl 1309.65079
Chen, Wei; Shen, Yonghong
2014
On the Ulam stability of a class of Banach space valued linear differential equations of second order. Zbl 1417.34141
Shen, Yonghong; Chen, Wei; Lan, Yaoyao
2014
Hyers-Ulam-Rassias stability of some additive fuzzy set-valued functional equations with the fixed point alternative. Zbl 07021791
Shen, Yonghong; Lan, Yaoyao; Chen, Wei
2014
On the general solution of a quadratic functional equation and its Ulam stability in various abstract spaces. Zbl 1312.39027
Shen, Yonghong; Lan, Yaoyao
2014
On the Ulam stability of a quadratic set-valued functional equation. Zbl 1301.39018
Wang, Faxing; Shen, Yonghong
2014
Fixed point theory for cyclic $$\varphi$$-contractions in fuzzy metric spaces. Zbl 1333.54050
Shen, Yong-Hong; Qiu, Dong; Chen, Wei
2013
Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces. Zbl 1429.54058
Shen, Yonghong; Chen, Wei
2013
On convergence of fixed points in fuzzy metric spaces. Zbl 1297.54103
Shen, Yonghong; Qiu, Dong; Chen, Wei
2013
On relation between geometric momentum and annihilation operators on a two-dimensional sphere. Zbl 1282.81116
Liu, Q. H.; Shen, Y.; Xun, D. M.; Wang, X.
2013
Fixed point theorems in fuzzy metric spaces. Zbl 1232.54042
Shen, Yonghong; Qiu, Dong; Chen, Wei
2012
Comment on: “Common fixed point theorems for commutating mappings in fuzzy metric spaces”. Zbl 1256.54082
Shen, Yonghong; Chen, Wei; Wang, Sanfu
2012
A note on intuitionistic fuzzy mappings. Zbl 1260.03097
Shen, Yong-hong; Wang, Fa-xing; Chen, Wei
2012
Variable precision rough set model over two universes and its properties. Zbl 1237.68216
Shen, Yonghong; Wang, Faxing
2011
Rough approximations of vague sets in fuzzy approximation space. Zbl 1232.03045
Shen, Yonghong; Wang, Faxing
2011
Simulation of crack propagation in fiber-reinforced bulk metallic glasses. Zbl 1183.74243
Zheng, G. P.; Shen, Y.
2010
The impulse response of a band-limited vibrator with rate-independent hysteretic damping. Zbl 1148.70012
Chen, Kui Fu; Shen, Y. H.
2008
Semi-active vibration control schemes for suspension systems using magnetorheological dampers. Zbl 1182.70074
Shen, Y.; Golnaraghi, M. F.; Heppler, G. R.
2006
Finite element analysis of V-ribbed belts using neural network based hyperelastic material model. Zbl 1349.74280
Shen, Y.; Chandrashekhara, K.; Breig, W. F.; Oliver, L. R.
2005
An efficient algorithm to determine fractal dimensions of point sets. Zbl 0969.37529
Füchslin, R. M.; Shen, Y.; Meier, P. F.
2001
Energy stability of thermocapillary convection in a model of the float- zone crystal-growth process. Zbl 0706.76049
Shen, Y.; Neitzel, G. P.; Jankowski, D. F.; Mittelmann, H. D.
1990
A probability distribution and convergence of the consistency index u in the analytic hierarchy process. Zbl 0714.60012
Shen, Y.
1990
Stability of thermocapillary convection during float-zone crystal growth. Zbl 0671.76063
Jankowski, D. F.; Neitzel, G. P.; Shen, Y. H.; Squire, T. H.
1988
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#### Cited by 338 Authors

 9 Shen, Yonghong 8 Onitsuka, Masakazu 5 Li, Qingguo 4 Anderson, Douglas Robert 4 Kumam, Poom 4 Kumar, Vipin 4 Malik, Muslim 4 Xie, Jialiang 3 Chen, Shuili 3 Chen, Wei 3 Fukutaka, Ryuma 3 Guo, Lankun 3 Mittelmann, Hans Detlef 3 Neitzel, G. Paul 3 Qiu, Dong 2 Amberg, Gustav 2 Anderson, Douglas Ross 2 Azam, Akbar 2 Chauhan, Sunny 2 Darbon, Jerome 2 Desai, Jitamitra 2 Došenović, Tatjana 2 Gao, You 2 Goswami, Nilakshi 2 Halčinová, Lenka 2 Hezarjaribi, Masoomeh 2 Hsiao, Chao-Yin 2 Hussain, Nawab 2 Hutník, Ondrej 2 Jankowski, Daniel F. 2 Li, Yongjin 2 Liao, Shilong 2 Lu, Chongxia 2 Ma, Shiqian 2 Monti, Rodolfo 2 Osher, Stanley Joel 2 Patir, Bijoy 2 Rakić, Dušan 2 Saadati, Reza 2 Salimi, Peyman 2 Savino, Raffaele 2 Shang, Fanhua 2 Shen, Yongjun 2 Shen, Yuan 2 Shu, Lan 2 Sintunavarat, Wutiphol 2 Socolowsky, Jürgen 2 Tabassum, Rehana 2 Teng, Chin-Kun 2 Wang, Chung-Shing 2 Wang, Kai 2 Yan, Xiaodong 2 Yang, Shaopu 2 Yang, Xinfeng 2 Yang, Zhouwang 2 Yin, Wotao 2 Zhang, Haidong 1 Abdou, Afrah Ahmad Noan 1 Abu-Donia, Hassan Mustafa 1 Adabitabar Firozja, M. 1 Agarwal, Ravi P. 1 Agheli, Bahram 1 Ahmad, Manzoor 1 Al Qurashi, Maysaa’ Mohamed 1 Alfredsson, Per Henrik 1 Alsulami, Hamed Hamdan 1 Alzabut, Jehad O. 1 Ansari, Arslan Hojat 1 Ansari, Khursheed Jamal 1 Ansary Karbasy, Saeid 1 Aravkin, Aleksandr Y. 1 Asmuss, Svetlana V. 1 Babačev, Nataša A. 1 Bai, Yanqin 1 Băleanu, Dumitru I. 1 Başcı, Yasemin 1 Becker, Stephen R. 1 Borzová-Molnárová, Jana 1 Bueno-Orovio, Alfonso 1 Cai, Zelin 1 Cao, Junfei 1 Carić, Biljana 1 Caruso, Giovanni 1 Chan, Tsung-Han 1 Chang, Kuo-Tien 1 Chen, Jinyang 1 Chen, Jiun-Cheng 1 Chen, Kuifu 1 Chen, Young-Yi 1 Cheng, Hong 1 Cheng, James 1 Cheng, Wei 1 Chénier, Eric 1 Cho, Yeol Je 1 Choudhury, Binayak Samadder 1 Chow, Yat Tin 1 Costanzo, G. Damiana 1 Cui, Qiongjie 1 Cui, Xueting 1 Darve, Eric ...and 238 more Authors
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#### Cited in 84 Serials

 9 International Journal of Approximate Reasoning 5 Journal of Vibration and Control 5 Optimization Methods & Software 5 Soft Computing 4 Information Sciences 4 Results in Mathematics 4 Physics of Fluids 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Advances in Difference Equations 4 Journal of Nonlinear Science and Applications 3 Journal of Computational Physics 3 Journal of Scientific Computing 3 Journal of Intelligent and Fuzzy Systems 3 Fixed Point Theory and Applications 2 Journal of Mathematical Analysis and Applications 2 Physics of Fluids, A 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Demonstratio Mathematica 2 Fuzzy Sets and Systems 2 Mathematical and Computer Modelling 2 Neural Networks 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 Journal of the Egyptian Mathematical Society 2 Mediterranean Journal of Mathematics 2 Applied General Topology 2 Korean Journal of Mathematics 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 International Journal of Control 1 International Journal of General Systems 1 International Journal for Numerical Methods in Fluids 1 Information Processing Letters 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Acta Mathematica Vietnamica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Multivariate Analysis 1 Topology and its Applications 1 Circuits, Systems, and Signal Processing 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Annals of Operations Research 1 Computational Statistics 1 Applied Mathematical Modelling 1 Journal of Statistical Computation and Simulation 1 Computational Statistics and Data Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 International Journal of Computer Vision 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Complexity 1 INFORMS Journal on Computing 1 Mathematical Problems in Engineering 1 Mathematics and Mechanics of Solids 1 European Journal of Mechanics. B. Fluids 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 International Journal of Wavelets, Multiresolution and Information Processing 1 International Journal of Geometric Methods in Modern Physics 1 Iranian Journal of Fuzzy Systems 1 Applications and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Bulletin of Mathematical Analysis and Applications 1 Science China. Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Communications in Mathematics and Statistics 1 Mathematical Sciences 1 Nonautonomous Dynamical Systems 1 Journal of Function Spaces 1 Sahand Communications in Mathematical Analysis 1 Open Mathematics 1 Cogent Mathematics 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 32 Fields

 31 General topology (54-XX) 27 Ordinary differential equations (34-XX) 25 Numerical analysis (65-XX) 22 Operator theory (47-XX) 19 Computer science (68-XX) 15 Fluid mechanics (76-XX) 15 Operations research, mathematical programming (90-XX) 11 Difference and functional equations (39-XX) 10 Statistics (62-XX) 9 Functional analysis (46-XX) 9 Systems theory; control (93-XX) 7 Mathematical logic and foundations (03-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of deformable solids (74-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Information and communication theory, circuits (94-XX) 4 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX)