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## Ding, Shusen

Compute Distance To:
 Author ID: ding.shusen Published as: Ding, Shusen; Ding, S.; Ding, Shu Shen; Ding, Shushen; Ding, S.-S.
 Documents Indexed: 94 Publications since 1960, including 1 Book
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#### Co-Authors

 22 single-authored 28 Xing, Yuming 10 Ling, Yi 8 Bao, Gejun 8 Liu, Bing 6 Agarwal, Ravi P. 5 Shi, Peilin 4 Shi, Guannan 3 Nolder, Craig A. 2 Bi, Hui 2 Dai, Zhimin 2 Gai, Yunying 2 Iwaniec, Tadeusz 1 Casavola, Alessandro 1 Fang, Ru 1 Helliwell, Dylan William 1 Johnson, Casey 1 Kambhampati, Chandrasekhar 1 Niu, Jinling 1 Pandya, Gavin 1 Sauter, Dominique D. J. 1 Sylvester, Donna 1 Wang, Baoling 1 Xie, Hongzheng 1 Yae, Arthur 1 Yang, Xiaofei 1 Yi, Ling 1 Zhu, Jianmin
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#### Serials

 14 Journal of Mathematical Analysis and Applications 14 Journal of Inequalities and Applications 8 Computers & Mathematics with Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of Harbin Institute of Technology 3 Acta Mathematica Sinica 3 Proceedings of the American Mathematical Society 2 Illinois Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Zeitschrift für Analysis und ihre Anwendungen 2 Chinese Annals of Mathematics. Series A 2 Abstract and Applied Analysis 2 Journal of Function Spaces 1 Nonlinearity 1 Pacific Journal of Mathematics 1 Acta Mathematica Hungarica 1 Journal of Systems Science and Mathematical Sciences 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Potential Analysis 1 European Journal of Control 1 Mathematical Inequalities & Applications 1 Acta Mathematica Sinica. English Series 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Archives of Inequalities and Applications 1 Translations. Series 2. American Mathematical Society 1 International Journal of Analysis
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#### Fields

 39 Global analysis, analysis on manifolds (58-XX) 36 Functional analysis (46-XX) 33 Partial differential equations (35-XX) 30 Real functions (26-XX) 28 Potential theory (31-XX) 26 Functions of a complex variable (30-XX) 11 Operator theory (47-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 3 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

54 Publications have been cited 455 times in 163 Documents Cited by Year
Inequalities for differential forms. Zbl 1184.53001
Agarwal, Ravi P.; Ding, Shusen; Nolder, Craig
2009
Two-weight Caccioppoli inequalities for solutions of nonhomogeneous $$A$$-harmonic equations on Riemannian manifolds. Zbl 1127.35021
Ding, Shusen
2004
$$L^{\varphi}(\mu)$$-averaging domains and the quasi-hyperbolic metric. Zbl 1063.30022
Ding, Shusen
2004
A class of analytic functions defined by fractional derivation. Zbl 0813.30016
Ling, Yi; Ding, Shusen
1994
Weighted Hardy-Littlewood inequality for $$A$$-harmonic tensors. Zbl 0866.30017
Ding, Shusen
1997
A generic strategy for fault-tolerance in control systems distributed over a network. Zbl 1293.93255
Patton, R. J.; Kambhampati, C.; Casavola, A.; Zhang, P.; Ding, S.; Sauter, D.
2007
Weighted Poincaré inequalities for solutions to $$A$$-harmonic equations. Zbl 1071.35520
Ding, Shusen; Nolder, Craig A.
2002
Weighted Poincaré-type inequalities for differential forms in $$L^s(\mu)$$-averaging domains. Zbl 0918.26013
Ding, Shusen; Shi, Peilin
1998
$$L^{s}(\mu)$$-averaging domains. Zbl 1027.30053
Ding, Shusen; Nolder, Craig A.
2003
Advances in differential forms and the $$A$$-harmonic equation. Zbl 1051.58001
Agarwal, R. P.; Ding, Shusen
2003
A singular integral of the composite operator. Zbl 1173.58300
Ding, Shusen; Liu, Bing
2009
Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for $$A$$-harmonic tensors. Zbl 0926.30013
Ding, Shusen
1999
Some properties of a class of analytic functions. Zbl 0843.30022
Ding, Shusen; Ling, Yi; Bao, Gejun
1995
Some examples of conjugate $$P$$-harmonic differential forms. Zbl 0920.35037
Ding, Shusen
1998
Global estimates for singular integrals of the composite operator. Zbl 1205.35089
Ding, Shusen; Liu, Bing
2009
Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation. Zbl 1124.31004
Ding, Shusen
2007
Some strong $$(p,q)$$-type inequalities for the homotopy operator. Zbl 1231.26014
Bi, Hui; Ding, Shusen
2011
Lipschitz and BMO norm inequalities for operators. Zbl 1239.42021
Ding, Shusen
2009
The monotonic property of $$L^s(\mu)$$-averaging domains and weighted weak reverse Hölder inequality. Zbl 0946.26005
Liu, Bing; Ding, Shusen
1999
Weighted imbedding theorems in the space of differential forms. Zbl 0993.58001
Ding, Shusen
2001
Integral estimates for the Laplace-Beltrami and Green’s operators applied to differential forms on manifolds. Zbl 1044.58002
Ding, S.
2003
Poincaré-type inequalities for the homotopy operator with $$L^{\varphi }(\varOmega )$$-norms. Zbl 1234.35009
Ding, Shusen; Zhu, Jianmin
2011
Norm inequalities for composition of the Dirac and Green’s operators. Zbl 1404.47002
Ding, Shusen; Liu, Bing
2013
$$L(\varphi ,\mu )$$-averaging domains and Poincaré inequalities with Orlicz norms. Zbl 1202.46033
Ding, Shusen
2010
Inequalities for Green’s operator with Lipschitz and BMO norms. Zbl 1189.35008
Xing, Yuming; Ding, Shusen
2009
Dirac-harmonic equations for differential forms. Zbl 1325.58011
Ding, Shusen; Liu, Bing
2015
Norm estimates for the maximal operator and Green’s operator. Zbl 1182.47018
Ding, Shusen
2009
Estimates of weighted integrals for differential forms. Zbl 0980.35039
Ding, Shusen
2001
Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications. Zbl 1190.35090
Xing, Yuming; Ding, Shusen
2010
New weighted integral inequalities for differential forms in some domains. Zbl 1036.26016
Ding, Shusen
2000
Orlicz norm inequalities for the composite operator and applications. Zbl 1275.26023
Bi, Hui; Ding, Shusen
2011
Integral estimates for the potential operator on differential forms. Zbl 1285.47056
Johnson, Casey; Ding, Shusen
2013
Norms of the composition of the maximal and projection operators. Zbl 1189.35036
Xing, Yuming; Ding, Shusen
2010
Parametric weighted integral inequalities for $$A$$-harmonic tensors. Zbl 0989.31007
Ding, S.
2001
Singular integrals of the compositions of Laplace-Beltrami and Green’s operators. Zbl 1277.58003
Fang, Ru; Ding, Shusen
2011
Poincaré inequalities with the Radon measure for differential forms. Zbl 1189.35011
Xing, Yuming; Ding, Shusen
2010
Weak reverse Hölder inequalities and imbedding inequalities for solutions to the $$A$$-harmonic equation. Zbl 1012.31006
Ding, Shusen; Sylvester, Donna
2002
A new criterion for starlike functions. Zbl 0849.30007
Yi, Ling; Ding, Shusen
1996
Weighted norm inequalities for conjugate $$A$$-harmonic tensors. Zbl 0873.30012
Ding, Shusen; Ling, Yi
1996
Imbedding theorems in Orlicz-Sobolev space of differential forms. Zbl 1305.46027
Ding, Shusen; Xing, Yuming
2014
Generalized Poincaré inequalities for solutions to the $$A$$-harmonic equation in certain domains. Zbl 0971.31006
Ding, Shusen; Liu, Bing
2000
On radii of starlikeness and convexity for convolutions of starlike functions. Zbl 0889.30007
Ling, Yi; Ding, Shusen
1997
Inequalities for Green’s operator applied to the minimizers. Zbl 1302.58001
Agarwal, Ravi P.; Ding, Shusen
2011
Norm comparison inequalities for the composite operator. Zbl 1165.26013
Xing, Yuming; Ding, Shusen
2009
Higher integrability of iterated operators on differential forms. Zbl 1382.58001
Ding, Shusen; Shi, Guannan; Xing, Yuming
2016
Imbedding inequalities with $$L{\varphi}$$-norms for composite operators. Zbl 1293.35118
Xing, Yuming; Ding, Shusen
2013
$$L(\varphi,\mu)$$-averaging domains and their geometric characterizations. Zbl 0983.30008
Bao, Gejun; Ding, Shusen; Ling, Yi
2000
Comparison theorems for conjugate A-harmonic tensors. Zbl 0881.31005
Ding, Shusen; Xie, Hongzheng
1997
Whitney covers and quasi-isometry of $$L^s(\mu)$$-averaging domains. Zbl 1017.30031
Ding, Shusen; Liu, Bing
2001
Global integrability of the Jacobian of a composite mapping. Zbl 1103.42009
Ding, Shusen; Liu, Bing
2006
Global estimates for the maximal operator and homotopy operator. Zbl 1236.26012
Xing, Yuming; Ding, Shusen
2012
Global Caccioppoli-type and Poincaré inequalities with Orlicz norms. Zbl 1196.35086
Agarwal, Ravi P.; Ding, Shusen
2010
Inequalities for the composition of Green’s operator and the potential operator. Zbl 1281.35035
Dai, Zhimin; Xing, Yuming; Ding, Shusen; Wang, Yong
2012
Higher integrability of Green’s operator and homotopy operator. Zbl 1375.58002
Xing, Yuming; Ding, Shusen
2017
Higher integrability of Green’s operator and homotopy operator. Zbl 1375.58002
Xing, Yuming; Ding, Shusen
2017
Higher integrability of iterated operators on differential forms. Zbl 1382.58001
Ding, Shusen; Shi, Guannan; Xing, Yuming
2016
Dirac-harmonic equations for differential forms. Zbl 1325.58011
Ding, Shusen; Liu, Bing
2015
Imbedding theorems in Orlicz-Sobolev space of differential forms. Zbl 1305.46027
Ding, Shusen; Xing, Yuming
2014
Norm inequalities for composition of the Dirac and Green’s operators. Zbl 1404.47002
Ding, Shusen; Liu, Bing
2013
Integral estimates for the potential operator on differential forms. Zbl 1285.47056
Johnson, Casey; Ding, Shusen
2013
Imbedding inequalities with $$L{\varphi}$$-norms for composite operators. Zbl 1293.35118
Xing, Yuming; Ding, Shusen
2013
Global estimates for the maximal operator and homotopy operator. Zbl 1236.26012
Xing, Yuming; Ding, Shusen
2012
Inequalities for the composition of Green’s operator and the potential operator. Zbl 1281.35035
Dai, Zhimin; Xing, Yuming; Ding, Shusen; Wang, Yong
2012
Some strong $$(p,q)$$-type inequalities for the homotopy operator. Zbl 1231.26014
Bi, Hui; Ding, Shusen
2011
Poincaré-type inequalities for the homotopy operator with $$L^{\varphi }(\varOmega )$$-norms. Zbl 1234.35009
Ding, Shusen; Zhu, Jianmin
2011
Orlicz norm inequalities for the composite operator and applications. Zbl 1275.26023
Bi, Hui; Ding, Shusen
2011
Singular integrals of the compositions of Laplace-Beltrami and Green’s operators. Zbl 1277.58003
Fang, Ru; Ding, Shusen
2011
Inequalities for Green’s operator applied to the minimizers. Zbl 1302.58001
Agarwal, Ravi P.; Ding, Shusen
2011
$$L(\varphi ,\mu )$$-averaging domains and Poincaré inequalities with Orlicz norms. Zbl 1202.46033
Ding, Shusen
2010
Caccioppoli inequalities with Orlicz norms for solutions of harmonic equations and applications. Zbl 1190.35090
Xing, Yuming; Ding, Shusen
2010
Norms of the composition of the maximal and projection operators. Zbl 1189.35036
Xing, Yuming; Ding, Shusen
2010
Poincaré inequalities with the Radon measure for differential forms. Zbl 1189.35011
Xing, Yuming; Ding, Shusen
2010
Global Caccioppoli-type and Poincaré inequalities with Orlicz norms. Zbl 1196.35086
Agarwal, Ravi P.; Ding, Shusen
2010
Inequalities for differential forms. Zbl 1184.53001
Agarwal, Ravi P.; Ding, Shusen; Nolder, Craig
2009
A singular integral of the composite operator. Zbl 1173.58300
Ding, Shusen; Liu, Bing
2009
Global estimates for singular integrals of the composite operator. Zbl 1205.35089
Ding, Shusen; Liu, Bing
2009
Lipschitz and BMO norm inequalities for operators. Zbl 1239.42021
Ding, Shusen
2009
Inequalities for Green’s operator with Lipschitz and BMO norms. Zbl 1189.35008
Xing, Yuming; Ding, Shusen
2009
Norm estimates for the maximal operator and Green’s operator. Zbl 1182.47018
Ding, Shusen
2009
Norm comparison inequalities for the composite operator. Zbl 1165.26013
Xing, Yuming; Ding, Shusen
2009
A generic strategy for fault-tolerance in control systems distributed over a network. Zbl 1293.93255
Patton, R. J.; Kambhampati, C.; Casavola, A.; Zhang, P.; Ding, S.; Sauter, D.
2007
Local and global norm comparison theorems for solutions to the nonhomogeneous A-harmonic equation. Zbl 1124.31004
Ding, Shusen
2007
Global integrability of the Jacobian of a composite mapping. Zbl 1103.42009
Ding, Shusen; Liu, Bing
2006
Two-weight Caccioppoli inequalities for solutions of nonhomogeneous $$A$$-harmonic equations on Riemannian manifolds. Zbl 1127.35021
Ding, Shusen
2004
$$L^{\varphi}(\mu)$$-averaging domains and the quasi-hyperbolic metric. Zbl 1063.30022
Ding, Shusen
2004
$$L^{s}(\mu)$$-averaging domains. Zbl 1027.30053
Ding, Shusen; Nolder, Craig A.
2003
Advances in differential forms and the $$A$$-harmonic equation. Zbl 1051.58001
Agarwal, R. P.; Ding, Shusen
2003
Integral estimates for the Laplace-Beltrami and Green’s operators applied to differential forms on manifolds. Zbl 1044.58002
Ding, S.
2003
Weighted Poincaré inequalities for solutions to $$A$$-harmonic equations. Zbl 1071.35520
Ding, Shusen; Nolder, Craig A.
2002
Weak reverse Hölder inequalities and imbedding inequalities for solutions to the $$A$$-harmonic equation. Zbl 1012.31006
Ding, Shusen; Sylvester, Donna
2002
Weighted imbedding theorems in the space of differential forms. Zbl 0993.58001
Ding, Shusen
2001
Estimates of weighted integrals for differential forms. Zbl 0980.35039
Ding, Shusen
2001
Parametric weighted integral inequalities for $$A$$-harmonic tensors. Zbl 0989.31007
Ding, S.
2001
Whitney covers and quasi-isometry of $$L^s(\mu)$$-averaging domains. Zbl 1017.30031
Ding, Shusen; Liu, Bing
2001
New weighted integral inequalities for differential forms in some domains. Zbl 1036.26016
Ding, Shusen
2000
Generalized Poincaré inequalities for solutions to the $$A$$-harmonic equation in certain domains. Zbl 0971.31006
Ding, Shusen; Liu, Bing
2000
$$L(\varphi,\mu)$$-averaging domains and their geometric characterizations. Zbl 0983.30008
Bao, Gejun; Ding, Shusen; Ling, Yi
2000
Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for $$A$$-harmonic tensors. Zbl 0926.30013
Ding, Shusen
1999
The monotonic property of $$L^s(\mu)$$-averaging domains and weighted weak reverse Hölder inequality. Zbl 0946.26005
Liu, Bing; Ding, Shusen
1999
Weighted Poincaré-type inequalities for differential forms in $$L^s(\mu)$$-averaging domains. Zbl 0918.26013
Ding, Shusen; Shi, Peilin
1998
Some examples of conjugate $$P$$-harmonic differential forms. Zbl 0920.35037
Ding, Shusen
1998
Weighted Hardy-Littlewood inequality for $$A$$-harmonic tensors. Zbl 0866.30017
Ding, Shusen
1997
On radii of starlikeness and convexity for convolutions of starlike functions. Zbl 0889.30007
Ling, Yi; Ding, Shusen
1997
Comparison theorems for conjugate A-harmonic tensors. Zbl 0881.31005
Ding, Shusen; Xie, Hongzheng
1997
A new criterion for starlike functions. Zbl 0849.30007
Yi, Ling; Ding, Shusen
1996
Weighted norm inequalities for conjugate $$A$$-harmonic tensors. Zbl 0873.30012
Ding, Shusen; Ling, Yi
1996
Some properties of a class of analytic functions. Zbl 0843.30022
Ding, Shusen; Ling, Yi; Bao, Gejun
1995
A class of analytic functions defined by fractional derivation. Zbl 0813.30016
Ling, Yi; Ding, Shusen
1994
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#### Cited by 146 Authors

 49 Ding, Shusen 34 Xing, Yuming 13 Bao, Gejun 8 Liu, Bing 4 Agarwal, Ravi P. 4 Bi, Hui 4 Gu, Jiantao 4 Li, Xuexin 4 Lu, Yu 4 Niu, Jinling 4 Sadarangani, Kishin B. 4 Tong, Yuxia 4 Wen, Haiyu 4 Zhu, Jianmin 3 Aloboudi, Fatima M. 3 Cao, Zhenhua 3 Dai, Zhimin 3 Darus, Maslina 3 El-Ashwah, Rabha Mohamed 3 Gao, Hongya 3 Harjani, Jackie 3 Ling, Yi 3 Mishra, Akshaya Kumar 3 Shi, Guannan 3 Shi, Peilin 2 Al-Amoudi, K. A. 2 Aouf, Mohamed Kamal 2 Bai, Chuanzhi 2 Bulut, Serap 2 Caballero, Josefa 2 Cabrera, Ignacio José 2 Cao, Junfei 2 Chaieb, Majda 2 Dhifli, Abdelwaheb 2 Fang, Ru 2 Fu, Yongqiang 2 Guo, Lifeng 2 Ibrahim, Rabha Waell 2 Lashin, A. Y. 2 Li, Guanfeng 2 Li, Ronglu 2 Mâagli, Habib 2 Magesh, Nanjundan 2 Nagpal, Sumit 2 Noor, Khalida Inayat 2 Ravichandran, Vaithiyanathan 2 Tang, Zhaoyang 2 Wang, Jufang 2 Wu, Congxin 2 Yu, Changlong 2 Zhang, Shuqin 2 Zheng, Shenzhou 2 Zhu, Haijing 1 Abd-Eltawab, Ahmed M. 1 Abreu-Blaya, Ricardo 1 Ahmad, Ahmad F. 1 Al-Refai, Oqlah 1 Alzahrani, Abdulah Khamis 1 Arif, Mohammad 1 Balaji, Vittalrao Kupparao 1 Bonilla, Blanca 1 Bory Reyes, Juan 1 Caballero Mena, J. 1 Chaipunya, Parin 1 Chu, Yuming 1 Darwish, Hanan Elsayed 1 Delanghe, Richard 1 Deniz, Erhan 1 Dwivedi, Gaurav 1 Faisal, Imran 1 Fang, Jinxuan 1 Frasin, Basem Aref 1 Gejun, Bao 1 Georgieva, Atanaska 1 Gochhayat, Priyabrat 1 Guo, Yanping 1 Guzmán, Johnny 1 Hajiparvaneh, Saideh 1 Hamidi, Samaneh Gholizadeh 1 Hao, Cuixia 1 Haq, Wasim Ul 1 Hayek, Nácere 1 Helliwell, Dylan William 1 Hiptmair, Ralf 1 Hou, Lanru 1 Huang, Xianyong 1 Hui, Bi 1 Jahangiri, Jay M. 1 Ji, Ying 1 Jin, Zhen 1 Johnson, Casey 1 Karthiyayini, O. 1 Kopylov, Yaroslav Anatol’evich 1 Kumam, Poom 1 Kycia, Radosław Antoni 1 Lacey, Michael T. 1 Li, Huacan 1 Li, Jingzhi 1 Li, Juan 1 Li, Qunfang ...and 46 more Authors
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#### Cited in 50 Serials

 37 Journal of Inequalities and Applications 25 Journal of Mathematical Analysis and Applications 11 Computers & Mathematics with Applications 10 Abstract and Applied Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 International Journal of Mathematics and Mathematical Sciences 4 Applied Mathematics Letters 4 Mediterranean Journal of Mathematics 4 Journal of Function Spaces 3 Advances in Applied Clifford Algebras 2 Applied Mathematics and Computation 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of the Egyptian Mathematical Society 2 Journal of Applied Mathematics 2 Complex Analysis and Operator Theory 2 International Journal of Analysis 2 Concrete Operators 1 Applicable Analysis 1 International Journal of Theoretical Physics 1 Ukrainian Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 The Journal of Geometric Analysis 1 Potential Analysis 1 Applied Mathematics. Series B (English Edition) 1 Discrete and Continuous Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Tbilisi Mathematical Journal 1 Acta Universitatis Sapientiae. Mathematica 1 International Journal of Differential Equations 1 Annals of Functional Analysis 1 ISRN Mathematical Analysis 1 Afrika Matematika 1 Palestine Journal of Mathematics 1 Mathematical Sciences 1 Journal of Classical Analysis 1 Fractional Differential Calculus 1 Problemy Analiza. Issues of Analysis 1 Journal of Applied Mathematics, Statistics and Informatics
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#### Cited in 22 Fields

 55 Global analysis, analysis on manifolds (58-XX) 52 Partial differential equations (35-XX) 46 Functional analysis (46-XX) 43 Real functions (26-XX) 37 Functions of a complex variable (30-XX) 31 Potential theory (31-XX) 23 Operator theory (47-XX) 17 Ordinary differential equations (34-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)