## Ma, Ruyun

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 Author ID: ma.ruyun Published as: Ma, Ruyun; Ma, Ru Yun; Ma, Ru-yun; Ma, R. more...less External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 322 Publications since 1987 Reviewing Activity: 162 Reviews Co-Authors: 94 Co-Authors with 259 Joint Publications 2,472 Co-Co-Authors
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### Co-Authors

 62 single-authored 36 Lu, Yanqiong 28 Gao, Chenghua 21 Dai, Guowei 17 Chen, Tianlan 16 Xu, Man 15 Chen, Ruipeng 11 Yan, Dongliang 10 Thompson, Harold Bevan 9 An, Yulian 9 Gao, Hongliang 9 Han, Xiaoling 8 He, Zhiqian 8 Xu, Jia 7 Wei, Liping 6 Ma, Huili 6 O’Regan, Donal 6 Wang, Haiyan 6 Zhao, Zhongzi 5 Wang, Jinxiang 5 Xu, Youji 4 Bai, Dingyong 4 Li, Jiemei 4 Luo, Hua 4 Ma, Yuhong 4 Yang, Bianxia 4 Zhang, Guobao 3 Castaneda, Nelson 3 Chang, Yong-Kui 3 Feng, Baofeng 3 Fu, Shengmao 3 Liu, Ruikuan 3 Yao, Qingliu 3 Zhang, Lu 3 Zhang, Yujuan 2 Cao, Daomin 2 Chen, Xiaoqiang 2 Elsanosi, Mohammed Elnagi M. 2 Fan, Hongxia 2 Fečkan, Michal 2 Jiang, Lingfang 2 Li, Baolin 2 Liang, Yongwen 2 Long, Yan 2 Lu, Bo 2 Ma, Qiaozhen 2 Ren, Lishun 2 Su, Xiaoxiao 2 Tisdell, Christopher C. 2 Wang, Suyun 2 Wang, Zhenyan 2 Wen, Jin 2 Xiong, Na 2 Yao, Qinliu 2 Zhang, Fei 2 Zhang, Jihui 2 Zhao, Jiao 2 Zhao, Zhihan 1 Abubaker, Ahmed Omer Mohammed 1 Ahmed, Abubaker 1 An, Tianqing 1 An, Yukun 1 Anderson, Douglas Robert 1 Chen, Zhichao 1 Erbe, Lynn Harry 1 Li, Shanbing 1 Li, Xiaolong 1 Li, Xueshi 1 Li, Yongxiang 1 Li, Zhancun 1 Liu, Xilan 1 Ma, Mantang 1 Ma, Qinsheng 1 Negahban, Mehrdad 1 N’Guérékata, Gaston Mandata 1 Precup, Radu 1 Raffoul, Youssef Naim 1 Ren, Xiaokang 1 Song, Lingyu 1 Sun, Jinyi 1 Wang, Rufa 1 Wu, Hongping 1 Wu, Shangzhi 1 Xie, Chunjie 1 Xu, Dengzhou 1 Xu, Denzou 1 Xu, Kuai 1 Xu, Ling 1 Yan, Dongming 1 Yang, Yunrui 1 Ye, Guoju 1 Zhang, Yanhong 1 Zhang, Yanzhou 1 Zhong, Chengkui 1 Zhu, Bao
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### Serials

 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Advances in Difference Equations 21 Journal of Mathematical Analysis and Applications 20 Boundary Value Problems 16 Applied Mathematics and Computation 10 Applied Mathematics Letters 9 Computers & Mathematics with Applications 9 Abstract and Applied Analysis 9 Discrete Dynamics in Nature and Society 8 Electronic Journal of Differential Equations (EJDE) 8 Electronic Journal of Qualitative Theory of Differential Equations 7 Acta Mathematica Scientia. Series A. (Chinese Edition) 5 Applicable Analysis 5 Journal of Northwest Normal University. Natural Science 5 Nonlinear Analysis. Real World Applications 4 Journal of Mathematical Research & Exposition 4 Dynamic Systems and Applications 4 Journal of Difference Equations and Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Applied Mathematics 4 Mediterranean Journal of Mathematics 4 Open Mathematics 3 Acta Mathematica Sinica 3 Czechoslovak Mathematical Journal 3 Topological Methods in Nonlinear Analysis 3 Turkish Journal of Mathematics 3 Pure and Applied Mathematics 3 Communications on Pure and Applied Analysis 3 Complex Variables and Elliptic Equations 3 Journal of Fixed Point Theory and Applications 3 Acta Mathematica Sinica. Chinese Series 3 Journal of Function Spaces 3 Nonlinear Analysis. Theory, Methods & Applications 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annales Polonici Mathematici 2 Journal of Functional Analysis 2 Monatshefte für Mathematik 2 Journal of Sichuan University. Natural Science Edition 2 Journal of Lanzhou University. Natural Sciences 2 Bulletin of the Korean Mathematical Society 2 Acta Scientiarum Naturalium Universitatis Sunyatseni 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series A 2 Journal of Xinjiang University. Natural Science 2 Linear Algebra and its Applications 2 Communications in Applied Analysis 2 Acta Mathematica Sinica. English Series 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advanced Nonlinear Studies 2 Fixed Point Theory 1 Acta Mechanica 1 Computers and Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Hiroshima Mathematical Journal 1 Indian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Journal of Mathematics. Wuhan University 1 Acta Mathematicae Applicatae Sinica 1 Journal of Engineering Mathematics (Xi’an) 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Journal of Biomathematics 1 Mathematica Applicata 1 Acta Mathematica Sinica. New Series 1 Applied Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Studies 1 Mathematical Problems in Engineering 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Inequalities and Applications 1 Chinese Quarterly Journal of Mathematics 1 Acta Analysis Functionalis Applicata. AAFA 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Applied Mathematics E-Notes 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Shandong University. Natural Science 1 Journal of Physics A: Mathematical and Theoretical 1 JP Journal of Fixed Point Theory and Applications 1 International Journal of Differential Equations 1 Chinese Journal of Engineering Mathematics 1 Communications in Mathematical Research 1 Journal of Spectral Theory 1 Journal of Mathematical Research with Applications 1 Journal of Applied Analysis and Computation 1 AIMS Mathematics
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### Fields

 225 Ordinary differential equations (34-XX) 64 Difference and functional equations (39-XX) 58 Partial differential equations (35-XX) 45 Operator theory (47-XX) 10 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 General topology (54-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

210 Publications have been cited 2,647 times in 1,627 Documents Cited by Year
Existence of solutions of nonlinear $$m$$-point boundary-value problems. Zbl 0988.34009
Ma, Ruyun; Castaneda, Nelson
2001
On the existence of positive solutions of fourth-order ordinary differential equations. Zbl 0841.34019
Ma, Ruyun; Wang, Haiyan
1995
The method of lower and upper solutions for fourth-order two-point boundary value problems. Zbl 0892.34009
Ma, Ruyun; Zhang, Jihui; Fu, Shengmao
1997
Positive solutions for second-order three-point boundary value problems. Zbl 0989.34009
Ma, Ruyun
2001
Existence theorems for a second order $$m$$-point boundary value problem. Zbl 0884.34024
Ma, Ruyun
1997
Multiplicity of positive solutions for second-order three-point boundary value problems. Zbl 0958.34019
Ma, Ruyun
2000
Existence theorems for a second order three-point boundary value problem. Zbl 0879.34025
Ma, Ruyun
1997
Positive solutions of a nonlinear $$m$$-point boundary value problem. Zbl 0987.34018
Ma, Ruyun
2001
Positive solutions of nonlinear three-point boundary-value problems. Zbl 1028.34014
Ma, Ruyun; Wang, Haiyan
2003
Multiple nonnegative solutions of second-order systems of boundary value problems. Zbl 0973.34014
Ma, Ruyun
2000
Global structure of positive solutions for nonlocal boundary value problems involving integral conditions. Zbl 1178.34029
Ma, Ruyun; An, Yulian
2009
Positive solutions of a nonlinear three-point boundary-value problem. Zbl 0926.34009
Ma, Ruyun
1999
Existence of positive solutions of a fourth-order boundary value problem. Zbl 1082.34023
Ma, Ruyun
2005
Existence of positive solutions for superlinear semipositone $$m$$-point boundary-value problems. Zbl 1069.34036
Ma, Ruyun
2003
Solutions for a $$p(x)$$-Kirchhoff type equation with Neumann boundary data. Zbl 1225.35079
Dai, Guowei; Ma, Ruyun
2011
A survey on nonlocal boundary value problems. Zbl 1163.34300
Ma, Ruyun
2007
Nodal solutions for nonlinear eigenvalue problems. Zbl 1059.34013
Ma, Ruyun; Thompson, Bevan
2004
Multiplicity results for a third order boundary value problem at resonance. Zbl 0932.34014
Ma, Ruyun
1998
Existence of positive radial solutions for elliptic systems. Zbl 0859.35040
Ma, Ruyun
1996
Positive solutions of three-point nonlinear discrete second order boundary value problem. Zbl 1056.39024
Ma, Ruyun; Raffoul, Youssef N.
2004
Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem. Zbl 1200.34023
Ma, Ruyun; Xu, Jia
2010
Global structure of radial positive solutions for a prescribed mean curvature problem in a ball. Zbl 1342.34044
Ma, Ruyun; Gao, Hongliang; Lu, Yanqiong
2016
Existence results of a $$m$$-point boundary value problem at resonance. Zbl 1070.34028
Ma, Ruyun
2004
Multiple positive solutions for nonlinear $$m$$-point boundary value problems. Zbl 1046.34030
Ma, Ruyun
2004
Nodal solutions for second-order $$m$$-point boundary value problems with nonlinearities across several eigenvalues. Zbl 1101.34006
Ma, Ruyun; O’Regan, Donal
2006
Unilateral global bifurcation phenomena and nodal solutions for $$p$$-Laplacian. Zbl 1242.34068
Dai, Guowei; Ma, Ruyun
2012
Multiple positive solutions for a semipositone fourth-order boundary value problem. Zbl 1048.34048
Ma, Ruyun
2003
Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities. Zbl 1075.34017
Ma, Ruyun; Thompson, Bevan
2005
Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations. Zbl 1209.60034
Chang, Yong-Kui; Zhao, Zhi-Han; N’Guérékata, G. M.; Ma, Ruyun
2011
Positive solutions for nonlinear $$m$$-point eigenvalue problems. Zbl 1057.34011
Ma, Ruyun; Thompson, Bevan
2004
Global structure of positive solutions for superlinear second order $$m$$-point boundary value problems. Zbl 1200.34017
Ma, Ruyun; An, Yulian
2009
Solvability of singular second order $$m$$-point boundary value problems. Zbl 1062.34018
Ma, Ruyun; O’Regan, Donal
2005
Global bifurcation and nodal solutions for a Sturm-Liouville problem with a nonsmooth nonlinearity. Zbl 1297.34034
Ma, Ruyun; Dai, Guowei
2013
Existence of positive solutions for second-order boundary value problems on infinity intervals. Zbl 1046.34045
Ma, Ruyun
2003
Nodal solutions for a fourth-order two-point boundary value problem. Zbl 1085.34015
Ma, Ruyun
2006
Multiplicity results for a three-point boundary value problem at resonance. Zbl 1037.34011
Ma, Ruyun
2003
Nonlinear discrete Sturm-Liouville problems at resonance. Zbl 1129.39006
Ma, Ruyun
2007
Nodal solutions of boundary value problems of fourth-order ordinary differential equations. Zbl 1098.34012
Ma, Ruyun
2006
Existence of positive solutions of a nonlinear fourth-order boundary value problem. Zbl 1195.34037
Ma, Ruyun; Xu, Ling
2010
Positive solutions to fourth-order two-point boundary value problems. Zbl 0964.34021
Ma, Ruyun
1999
Positive solutions for nonhomogeneous $$m$$-point boundary value problems. Zbl 1062.34022
Ma, Ruyun
2004
Global behavior of positive solutions of nonlinear three-point boundary value problems. Zbl 1069.34016
Ma, Ruyun; Thompson, Bevan
2005
Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions. Zbl 1335.39002
Gao, Chenghua; Ma, Ruyun
2016
Existence of a global coexistence state for periodic competition diffusion systems. Zbl 0871.35051
Fu, Shengmao; Ma, Ruyun
1997
Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function. Zbl 1188.34019
Ma, Ruyun; Han, Xiaoling
2009
Existence of positive solution for nonlinear fourth-order difference equations. Zbl 1220.39008
Ma, Ruyun; Xu, Youji
2010
Bifurcation from infinity and multiple solutions for periodic boundary value problems. Zbl 0966.34015
Ma, Ruyun
2000
Positive solutions for semipositone $$(k,n-k)$$ conjugate boundary value problems. Zbl 0979.34012
Ma, Ruyun
2000
Spreading speeds and traveling waves for a nonlocal dispersal equation with convolution-type crossing-monostable nonlinearity. Zbl 1327.35191
Zhang, Guo-Bao; Ma, Ruyun
2014
Positive solutions for nonlinear discrete periodic boundary value problems. Zbl 1197.39006
Ma, Ruyun; Ma, Huili
2010
Positive periodic solutions of first-order delay differential equations with impulses. Zbl 1282.34073
Ma, Ruyun; Yang, Bianxia; Wang, Zhenyan
2013
Existence of positive periodic solutions of nonlinear first-order delayed differential equations. Zbl 1229.34109
Ma, Ruyun; Chen, Ruipeng; Chen, Tianlan
2011
Nodal solutions for a second-order $$m$$-point boundary value problem. Zbl 1164.34329
Ma, Ruyun
2006
Positive solutions of singular sublinear fourth-order boundary value problems. Zbl 1085.34020
Ma, Ruyun; Tisdell, Christopher C.
2005
Nonlinear periodic boundary value problems with sign-changing Green’s function. Zbl 1220.34038
Ma, Ruyun
2011
Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function. Zbl 1173.34310
Ma, Ruyun; Han, Xiaoling
2009
Positive solutions for nonlinear $$m$$-point boundary value problems of Dirichlet type via fixed-point index theory. Zbl 1070.34039
Ma, Ruyun; Ren, Lishun
2003
Existence and uniqueness of solutions to first-order three-point boundary value problems. Zbl 1008.34009
Ma, Ruyun
2002
Bifurcation of positive solutions of a nonlinear discrete fourth-order boundary value problem. Zbl 1266.39007
Ma, Ruyun; Gao, Chenghua
2013
Global behavior of the components of nodal solutions of asymptotically linear eigenvalue problems. Zbl 1152.34319
Ma, Ruyun
2008
Positive solutions to singular second-order boundary value problems. Zbl 1027.34025
Ma, Ruyun
1998
Positive solutions of fourth-order two-point boundary value problem. Zbl 1049.34027
Ma, Ruyun; Wu, Hongping
2002
Existence results for semipositone boundary value problems. Zbl 1021.34017
Ma, Ruyun; Wang, Rufa; Ren, Lishun
2001
Existence of solutions for a two-point boundary value problem on time scales. Zbl 1042.39008
Ma, Ruyun; Luo, Hua
2004
Nodal solutions for a nonlinear fourth-order eigenvalue problem. Zbl 1149.34312
Ma, Ru Yun; Thompson, Bevan
2008
On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities. Zbl 1351.35057
Lu, Yanqiong; Chen, Tianlan; Ma, Ruyun
2016
Nodal solutions of second-order boundary value problems with superlinear or sublinear nonlinearities. Zbl 1113.34011
Ma, Ruyun
2007
Global bifurcation of positive solutions of a second-order periodic boundary value problem with indefinite weight. Zbl 1218.34027
Ma, Ruyun; Xu, Jia; Han, Xiaoling
2011
Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight. Zbl 1305.39008
Gao, Chenghua; Ma, Ruyun
2015
On linear and nonlinear fourth-order eigenvalue problems with indefinite weight. Zbl 1233.34005
Ma, Ruyun; Gao, Chenghua; Han, Xiaoling
2011
Multiplicity of positive solutions for second order nonlinear Dirichlet problem with one-dimension Minkowski-curvature operator. Zbl 1344.34041
Ma, Ruyun; Lu, Yanqiong
2015
Unilateral global bifurcation for $$p$$-Laplacian with non-$$p$$-1-linearization nonlinearity. Zbl 1319.34034
Dai, Guowei; Ma, Ruyun
2015
Positive periodic solutions of second-order differential equations with weak singularities. Zbl 1410.34124
Ma, Ruyun; Chen, Ruipeng; He, Zhiqian
2014
Eigenvalues, bifurcation and one-sign solutions for the periodic $$p$$-Laplacian. Zbl 1287.34030
Dai, Guowei; Ma, Ruyun; Wang, Haiyan
2013
Bifurcation from infinity and nodal solutions of quasilinear problems without the signum condition. Zbl 1257.34013
Dai, Guowei; Ma, Ruyun; Lu, Yanqiong
2013
Existence of positive solutions for integral equations with vanishing kernels. Zbl 1236.45004
Ma, Ruyun; Zhong, Chengkui
2011
Positive periodic solutions of first-order singular systems. Zbl 1300.34090
Chen, Ruipeng; Ma, Ruyun; He, Zhiqian
2012
Spectrum of a linear fourth-order differential operator and its applications. Zbl 1298.34041
Ma, Ruyun; Wang, Haiyan; Elsanosi, Mohammed
2013
Partial differential equations with Robin boundary condition in online social networks. Zbl 1334.35116
Dai, Guowei; Ma, Ruyun; Wang, Haiyan; Wang, Feng; Xu, Kuai
2015
Existence of positive solutions for a semipositone boundary value problem on the half-line. Zbl 1200.34024
Ma, Ruyun; Zhu, Bao
2009
Bifurcation from interval and positive solutions for second order periodic boundary value problems. Zbl 1210.34035
Xu, Jia; Ma, Ruyun
2010
Spectrum of discrete left definite Sturm-Liouville problems with eigenparameter-dependent boundary conditions. Zbl 1370.39003
Gao, Chenghua; Ma, Ruyun; Zhang, Fei
2017
Positive solutions for semipositone $$m$$-point boundary value problems. Zbl 1063.34009
Ma, Ruyun; Ma, Qiaozhen
2004
Existence and uniqueness theorems for some fourth-order nonlinear boundary value problems. Zbl 0959.34015
Ma, Ruyun
2000
Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition. Zbl 1401.34095
Gao, Chenghua; Li, Xiaolong; Ma, Ruyun
2018
Almost periodic solutions to a stochastic differential equation in Hilbert spaces. Zbl 1263.34059
Chang, Yong-Kui; Ma, Ruyun; Zhao, Zhi-Han
2013
Global bifurcation, Berestycki’s conjecture and one-sign solutions for $$p$$-Laplacian. Zbl 1286.35028
Dai, Guowei; Ma, Ruyun
2013
Existence of positive solutions for second order $$m$$-point boundary value problems. Zbl 1055.34025
Ma, Ruyun
2002
Unbounded perturbations of nonlinear second-order difference equations at resonance. Zbl 1154.39010
Ma, Ruyun
2007
Positive solutions for boundary value problems of functional differential equations. Zbl 1193.34133
Ma, Ruyun
2007
Multiplicity results for second-order two-point boundary value problems with nonlinearities across several eigenvalues. Zbl 1074.34016
Ma, Ruyun; Thompson, Bevan
2005
Global structure of positive solutions for superlinear second-order periodic boundary value problems. Zbl 1254.34039
Ma, Ruyun; Xu, Jia; Han, Xiaoling
2012
Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics. Zbl 1319.35036
Chen, Ruipeng; Ma, Ruyun
2013
Positive solutions of the second-order differential systems in reactor dynamics. Zbl 1311.34048
Chen, Ruipeng; Ma, Ruyun
2012
Loss of positivity in a nonlinear second order ordinary differential equations. Zbl 1172.34301
Fan, Hongxia; Ma, Ruyun
2009
Existence of positive solutions for first order discrete periodic boundary value problems with delay. Zbl 1222.39008
Ma, Ruyun; Gao, Chenghua; Xu, Jia
2011
Bifurcation from infinity and multiple solutions for some discrete Sturm-Liouville problems. Zbl 1130.39016
Ma, Ruyun
2007
On positive solutions of the Dirichlet problem involving the extrinsic mean curvature operator. Zbl 1399.35174
Ma, Ruyun; Chen, Tianlan; Gao, Hongliang
2016
Existence of positive solutions of fourth-order problems with integral boundary conditions. Zbl 1208.34016
Ma, Ruyun; Chen, Tianlan
2011
Traveling waves of a Lotka-Volterra strong competition system with nonlocal dispersal. Zbl 1398.35124
Zhang, Guo-Bao; Ma, Ruyun; Li, Xue-Shi
2018
Positive radial solutions for Dirichlet problem of quasilinear differential system with mean curvature operator in Minkowski space. Zbl 1460.35130
Ma, Ruyun; He, Zhiqian
2021
Positive solutions for some semi-positone problems with nonlinear boundary conditions via bifurcation theory. Zbl 1431.34036
Ma, Ruyun; Wang, Suyun
2020
Evolution of bifurcation curves for one-dimensional Minkowski-curvature problem. Zbl 1441.53010
Ma, Ruyun; Wei, Liping; Chen, Zhichao
2020
Multiple positive solutions of second-order nonlinear difference equations with discrete singular $$\phi$$-Laplacian. Zbl 1407.39002
Chen, Tianlan; Ma, Ruyun; Liang, Yongwen
2019
$$S$$-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain. Zbl 1480.34022
Xu, Man; Ma, Ruyun
2019
Three radially symmetric $$k$$-admissible solutions for $$k$$-Hessian equation. Zbl 1419.35041
Ma, Ruyun; He, Zhiqian; Yan, Dongliang
2019
Positive solutions for a class of semipositone periodic boundary value problems via bifurcation theory. Zbl 1438.34096
He, Zhiqian; Ma, Ruyun; Xu, Man
2019
Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition. Zbl 1401.34095
Gao, Chenghua; Li, Xiaolong; Ma, Ruyun
2018
Traveling waves of a Lotka-Volterra strong competition system with nonlocal dispersal. Zbl 1398.35124
Zhang, Guo-Bao; Ma, Ruyun; Li, Xue-Shi
2018
Positive solutions for Dirichlet problems involving the mean curvature operator in Minkowski space. Zbl 1411.34038
Ma, Ruyun
2018
Discrete Neumann boundary value problem for a nonlinear equation with singular $$\phi$$-Laplacian. Zbl 1445.39013
Xu, Man; Ma, Ruyun
2018
Spectrum theory of second-order difference equations with indefinite weight. Zbl 1394.39020
Ma, Ruyun; Gao, Chenghua; Lu, Yanqiong
2018
Nonlinear elastic beam problems with the parameter near resonance. Zbl 1417.34054
Xu, Man; Ma, Ruyun
2018
Lower and upper solution method for the problem of elastic beam with hinged ends. Zbl 1391.34057
Ma, Ruyun; Wang, Jinxiang; Long, Yan
2018
$$S$$-shaped connected component for a nonlinear Dirichlet problem involving mean curvature operator in one-dimension Minkowski space. Zbl 1414.34020
Ma, Ruyun; Xu, Man
2018
Positive solutions of the periodic problems for quasilinear difference equation with sign-changing weight. Zbl 1448.39022
Xu, Man; Ma, Ruyun; He, Zhiqian
2018
Global behavior of positive solutions for some semipositone fourth-order problems. Zbl 1448.34062
Yan, Dongliang; Ma, Ruyun
2018
Lower and upper solutions method for a problem of an elastic beam whose one end is simply supported and the other end is sliding clamped. Zbl 1424.34090
Xu, Man; Ma, Ruyun; Wen, Jin
2018
Spectrum of discrete left definite Sturm-Liouville problems with eigenparameter-dependent boundary conditions. Zbl 1370.39003
Gao, Chenghua; Ma, Ruyun; Zhang, Fei
2017
Front-like entire solutions for a delayed nonlocal dispersal equation with convolution type bistable nonlinearity. Zbl 1377.35159
Zhang, Guo-Bao; Ma, Ruyun
2017
Radial positive solutions for Neumann problems without growth restrictions. Zbl 1376.35031
Ma, Ruyun; Gao, Hongliang; Chen, Tianlan
2017
Existence of positive solutions of second-order periodic boundary value problems with sign-changing Green’s function. Zbl 1370.34044
Gao, Cheng-hua; Zhang, Fei; Ma, Ru-yun
2017
Multiple positive solutions for a class of semipositone Neumann problems with singular $$\varphi$$-Laplacian. Zbl 1399.35046
Ma, Ruyun; Gao, Hongliang
2017
On a fourth-order boundary value problem at resonance. Zbl 1375.34032
Xu, Man; Ma, Ruyun
2017
Existence and multiplicity of solutions for discrete Neumann-Steklov problems with singular $$\phi$$-Laplacian. Zbl 1422.39023
Lu, Yanqiong; Ma, Ruyun; Lu, Bo
2017
Global structure of radial positive solutions for a prescribed mean curvature problem in a ball. Zbl 1342.34044
Ma, Ruyun; Gao, Hongliang; Lu, Yanqiong
2016
Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions. Zbl 1335.39002
Gao, Chenghua; Ma, Ruyun
2016
On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities. Zbl 1351.35057
Lu, Yanqiong; Chen, Tianlan; Ma, Ruyun
2016
On positive solutions of the Dirichlet problem involving the extrinsic mean curvature operator. Zbl 1399.35174
Ma, Ruyun; Chen, Tianlan; Gao, Hongliang
2016
Radial positive solutions of nonlinear elliptic systems with Neumann boundary conditions. Zbl 1328.35044
Ma, Ruyun; Gao, Hongliang; Lu, Yanqiong
2016
$$S$$-shaped connected component for the fourth-order boundary value problem. Zbl 1365.34040
Wang, Jinxiang; Ma, Ruyun
2016
Multiple positive solutions for Dirichlet problem of prescribed mean curvature equations in Minkowski spaces. Zbl 1350.35090
Ma, Ruyun; Chen, Tianlan
2016
Nonconstant radial positive solutions of elliptic systems with Neumann boundary conditions. Zbl 1344.35028
Ma, Ruyun; Chen, Tianlan; Wang, Haiyan
2016
Existence of positive solutions for difference systems coming from a model for burglary. Zbl 1424.39005
Chen, Tianlan; Ma, Ruyun
2016
Eigenvalues of discrete linear second-order periodic and antiperiodic eigenvalue problems with sign-changing weight. Zbl 1305.39008
Gao, Chenghua; Ma, Ruyun
2015
Multiplicity of positive solutions for second order nonlinear Dirichlet problem with one-dimension Minkowski-curvature operator. Zbl 1344.34041
Ma, Ruyun; Lu, Yanqiong
2015
Unilateral global bifurcation for $$p$$-Laplacian with non-$$p$$-1-linearization nonlinearity. Zbl 1319.34034
Dai, Guowei; Ma, Ruyun
2015
Partial differential equations with Robin boundary condition in online social networks. Zbl 1334.35116
Dai, Guowei; Ma, Ruyun; Wang, Haiyan; Wang, Feng; Xu, Kuai
2015
Solvability for some boundary value problems with discrete $$\phi$$-Laplacian operators. Zbl 1422.39006
Chen, Tianlan; Ma, Ruyun
2015
Eigenvalue, bifurcation, convex solutions for Monge-Ampère equations. Zbl 1365.34038
Dai, Guowei; Ma, Ruyun
2015
Existence, uniqueness and stability of traveling wavefronts for nonlocal dispersal equations with convolution type bistable nonlinearity. Zbl 1325.35252
Zhang, Guo-Bao; Ma, Ruyun
2015
Spreading speeds and traveling waves for a nonlocal dispersal equation with convolution-type crossing-monostable nonlinearity. Zbl 1327.35191
Zhang, Guo-Bao; Ma, Ruyun
2014
Positive periodic solutions of second-order differential equations with weak singularities. Zbl 1410.34124
Ma, Ruyun; Chen, Ruipeng; He, Zhiqian
2014
Disconjugacy and extremal solutions of nonlinear third-order equations. Zbl 1300.34042
Ma, Ruyun; Lu, Yanqiong
2014
Unilateral global bifurcation and nodal solutions for the $$p$$-Laplacian with sign-changing weight. Zbl 1295.35056
Dai, Guowei; Han, Xiaoling; Ma, Ruyun
2014
Existence of positive periodic solutions for second-order functional differential equations. Zbl 1319.34125
Ma, Ruyun; Lu, Yanqiong
2014
Bifurcation from intervals for Sturm-Liouville problems and its applications. Zbl 1292.34027
Dai, Guowei; Ma, Ruyun
2014
Spectrum of discrete second-order difference operator with sign-changing weight and its applications. Zbl 1419.39039
Ma, Ruyun; Gao, Chenghua
2014
Global structure of positive solutions for second-order difference equation with nonlinear boundary value condition. Zbl 1417.34060
Lu, Yanqiong; Ma, Ruyun
2014
Periodic solutions of second order nonlinear difference equations with singular $$\phi$$-Laplacian operator. Zbl 1419.39021
Ma, Ruyun; Lu, Yanqiong
2014
Bifurcation structure of asymptotically linear second-order semipositone discrete boundary value problems. Zbl 1313.39024
Zhang, Lu; Ma, Ruyun
2014
Positive solutions for a class of sublinear elliptic systems. Zbl 1308.35085
Ma, Ruyun; Chen, Ruipeng; Lu, Yanqiong
2014
Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations. Zbl 1308.34032
Lu, Yanqiong; Ma, Ruyun; Gao, Hongliang
2014
Existence and multiplicity of solutions of second-order discrete Neumann problem with singular $$\phi$$-Laplacian operator. Zbl 1417.35005
Lu, Yanqiong; Ma, Ruyun
2014
The existence and application of unbounded connected components. Zbl 1406.46063
Luo, Hua; Ma, Ruyun
2014
Global bifurcation and nodal solutions for a Sturm-Liouville problem with a nonsmooth nonlinearity. Zbl 1297.34034
Ma, Ruyun; Dai, Guowei
2013
Positive periodic solutions of first-order delay differential equations with impulses. Zbl 1282.34073
Ma, Ruyun; Yang, Bianxia; Wang, Zhenyan
2013
Bifurcation of positive solutions of a nonlinear discrete fourth-order boundary value problem. Zbl 1266.39007
Ma, Ruyun; Gao, Chenghua
2013
Eigenvalues, bifurcation and one-sign solutions for the periodic $$p$$-Laplacian. Zbl 1287.34030
Dai, Guowei; Ma, Ruyun; Wang, Haiyan
2013
Bifurcation from infinity and nodal solutions of quasilinear problems without the signum condition. Zbl 1257.34013
Dai, Guowei; Ma, Ruyun; Lu, Yanqiong
2013
Spectrum of a linear fourth-order differential operator and its applications. Zbl 1298.34041
Ma, Ruyun; Wang, Haiyan; Elsanosi, Mohammed
2013
Almost periodic solutions to a stochastic differential equation in Hilbert spaces. Zbl 1263.34059
Chang, Yong-Kui; Ma, Ruyun; Zhao, Zhi-Han
2013
Global bifurcation, Berestycki’s conjecture and one-sign solutions for $$p$$-Laplacian. Zbl 1286.35028
Dai, Guowei; Ma, Ruyun
2013
Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics. Zbl 1319.35036
Chen, Ruipeng; Ma, Ruyun
2013
Spectrum of discrete second-order Neumann boundary value problems with sign-changing weight. Zbl 1294.39002
Ma, Ruyun; Gao, Chenghua; Lu, Yanqiong
2013
Global branching for discontinuous problems involving the $$p$$-Laplacian. Zbl 1288.35050
Dai, Guowei; Ma, Ruyun
2013
Global bifurcation and nodal solutions of $$N$$-dimensional $$p$$-Laplacian in unit ball. Zbl 1277.35023
Dai, Guowei; Ma, Ruyun; Xu, Jia
2013
Reverse-order lower and upper functions for periodic problems of second-order singular difference equations. Zbl 1297.39016
Lu, Yanqiong; Ma, Ruyun
2013
Unilateral global bifurcation phenomena and nodal solutions for $$p$$-Laplacian. Zbl 1242.34068
Dai, Guowei; Ma, Ruyun
2012
Positive periodic solutions of first-order singular systems. Zbl 1300.34090
Chen, Ruipeng; Ma, Ruyun; He, Zhiqian
2012
Global structure of positive solutions for superlinear second-order periodic boundary value problems. Zbl 1254.34039
Ma, Ruyun; Xu, Jia; Han, Xiaoling
2012
Positive solutions of the second-order differential systems in reactor dynamics. Zbl 1311.34048
Chen, Ruipeng; Ma, Ruyun
2012
Existence of one-signed solutions of discrete second-order periodic boundary value problems. Zbl 1232.39017
Ma, Ruyun; Lu, Yanqiong; Chen, Tianlan
2012
On positive periodic solutions of second-order difference equations with attractive-repulsive singularities. Zbl 1377.39022
Lu, Yanqiong; Ma, Ruyun
2012
Existence of positive solutions to discrete second-order boundary value problems with indefinite weight. Zbl 1278.39004
Gao, Chenghua; Dai, Guowei; Ma, Ruyun
2012
Positive periodic solutions of second-order difference equations with weak singularities. Zbl 1292.39009
Ma, Ruyun; Lu, Yanqiong
2012
Existence and multiplicity of positive solutions of a nonlinear discrete fourth-order boundary value problem. Zbl 1243.39007
Ma, Ruyun; Lu, Yanqiong
2012
Existence and multiplicity of positive solutions for a class of $$p(x)$$-Kirchhoff type equations. Zbl 1278.35117
Ma, Ruyun; Dai, Guowei; Gao, Chenghua
2012
Nodal solutions of a nonlinear eigenvalue problem of the Euler-Bernoulli equation. Zbl 1235.34053
Ma, Ruyun; Gao, Chenghua
2012
Bifurcation of positive periodic solutions of first-order impulsive differential equations. Zbl 1281.34031
Ma, Ruyun; Yang, Bianxia; Wang, Zhenyan
2012
Nodal solutions of second-order two-point boundary value problems. Zbl 1275.34031
Ma, Ruyun; Yang, Bianxia; Dai, Guowei
2012
Solutions for a $$p(x)$$-Kirchhoff type equation with Neumann boundary data. Zbl 1225.35079
Dai, Guowei; Ma, Ruyun
2011
Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations. Zbl 1209.60034
Chang, Yong-Kui; Zhao, Zhi-Han; N&rsquo;Guérékata, G. M.; Ma, Ruyun
2011
Existence of positive periodic solutions of nonlinear first-order delayed differential equations. Zbl 1229.34109
Ma, Ruyun; Chen, Ruipeng; Chen, Tianlan
2011
Nonlinear periodic boundary value problems with sign-changing Green’s function. Zbl 1220.34038
Ma, Ruyun
2011
Global bifurcation of positive solutions of a second-order periodic boundary value problem with indefinite weight. Zbl 1218.34027
Ma, Ruyun; Xu, Jia; Han, Xiaoling
2011
On linear and nonlinear fourth-order eigenvalue problems with indefinite weight. Zbl 1233.34005
Ma, Ruyun; Gao, Chenghua; Han, Xiaoling
2011
Existence of positive solutions for integral equations with vanishing kernels. Zbl 1236.45004
Ma, Ruyun; Zhong, Chengkui
2011
Existence of positive solutions for first order discrete periodic boundary value problems with delay. Zbl 1222.39008
Ma, Ruyun; Gao, Chenghua; Xu, Jia
2011
Existence of positive solutions of fourth-order problems with integral boundary conditions. Zbl 1208.34016
Ma, Ruyun; Chen, Tianlan
2011
One-signed periodic solutions of first-order functional differential equations with a parameter. Zbl 1234.34045
Ma, Ruyun; Lu, Yanqiong
2011
Periodic solutions of nonlocal semilinear fourth-order differential equations. Zbl 1227.34042
Ma, Ruyun; Dai, Guowei
2011
Positive periodic solutions of delayed differential equations. Zbl 1248.34104
Yang, Bianxia; Ma, Ruyun; Gao, Chenghua
2011
Infinitely many solutions to superlinear second order $$m$$-point boundary value problems. Zbl 1271.34023
Ma, Ruyun; Gao, Chenghua; Chen, Xiaoqiang
2011
Global structure of positive solutions for superlinear discrete boundary value problems. Zbl 1233.39006
Ma, Ruyun; Ma, Huili
2011
Global structure of positive solutions of a discrete problem with sign-changing weight. Zbl 1255.39009
Ma, Ruyun; Gao, Chenghua; Han, Xiaoling; Chen, Xiaoqiang
2011
Second order periodic problems in the presence of dry friction. Zbl 1231.34016
Ma, Ruyun
2011
Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem. Zbl 1200.34023
Ma, Ruyun; Xu, Jia
2010
Existence of positive solutions of a nonlinear fourth-order boundary value problem. Zbl 1195.34037
Ma, Ruyun; Xu, Ling
2010
Existence of positive solution for nonlinear fourth-order difference equations. Zbl 1220.39008
Ma, Ruyun; Xu, Youji
2010
...and 110 more Documents
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### Cited by 1,293 Authors

 162 Ma, Ruyun 94 Ge, Weigao 50 Liu, Lishan 36 Gao, Chenghua 35 Feng, Meiqiang 34 O’Regan, Donal 32 Zhang, Xuemei 31 Wei, Zhongli 30 Kong, Lingju 28 Lu, Yanqiong 28 Wu, Yonghong 25 Henderson, Johnny Lee 24 Guo, Yanping 24 Zhang, Xinguang 23 Dai, Guowei 22 Liu, Yuji 21 Bai, Zhanbing 21 Du, Zengji 21 Graef, John R. 20 Pei, Minghe 20 Xu, Xian 19 Agarwal, Ravi P. 19 Han, Xiaoling 19 Zhang, Jihui 16 Infante, Gennaro 16 Su, Hua 14 Chen, Ruipeng 14 Goodrich, Christopher S. 14 Jiang, Weihua 14 Kong, Qingkai 14 Sun, Yongping 13 Chen, Tianlan 13 He, Zhiqian 13 Shen, Wenguo 13 Sun, Jingxian 13 Tian, Yu 13 Xu, Man 12 Li, Yongxiang 12 Luo, Hua 12 Sun, Jianping 12 Wang, Libo 12 Xu, Jia 12 Yang, Bo 11 Cabada, Alberto 11 Cui, Yujun 11 Liu, Yansheng 11 Tisdell, Christopher C. 10 An, Yulian 10 Chen, Haibo 10 Feng, Hanying 10 Ji, Yude 10 Liu, Bing 10 Ma, Dexiang 10 Ntouyas, Sotiris K. 10 Yang, Zhilin 10 Yao, Qingliu 10 Yaslan Karaca, Ilkay 10 Zhang, Guobao 9 Heidarkhani, Shapour 9 Jiang, Daqing 9 Li, Wan-Tong 9 Lin, Xiaojie 9 Luca, Rodica 9 Thompson, Harold Bevan 9 Wang, Haiyan 9 Wang, Yuanming 9 Webb, Jeffrey Ronald Leslie 9 Yang, Bianxia 9 Zhai, Chengbo 8 Afrouzi, Ghasem Alizadeh 8 An, Yukun 8 Caristi, Giuseppe 8 Chang, Yong-Kui 8 Hao, Xin’an 8 Lian, Hairong 8 Ma, Huili 8 Miao, Liangying 8 Shen, Jianhua 8 Wang, Jinxiang 8 Xu, Fuyi 8 Yan, Dongliang 7 Ahmad, Bashir 7 Aliyev, Ziyatkhan S. 7 Cheng, Xiyou 7 Cheng, Zhibo 7 Gao, Hongliang 7 Khan, Rahmat Ali 7 Kosmatov, Nickolai 7 Liang, Sihua 7 Pang, Changci 7 Pang, Huihui 7 Sim, Inbo 7 Sun, Bo 7 Tsouli, Najib 7 Wang, Fanglei 7 Wang, Youyu 7 Zhang, Guang 7 Zhang, Guowei 7 Zhang, Youwei 7 Zhao, Zengqin ...and 1,193 more Authors
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### Cited in 199 Serials

 174 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 147 Journal of Mathematical Analysis and Applications 130 Boundary Value Problems 123 Applied Mathematics and Computation 81 Advances in Difference Equations 62 Computers & Mathematics with Applications 56 Abstract and Applied Analysis 51 Applied Mathematics Letters 50 Journal of Applied Mathematics and Computing 33 Journal of Computational and Applied Mathematics 33 Journal of Difference Equations and Applications 26 Discrete Dynamics in Nature and Society 22 Mathematical and Computer Modelling 20 Journal of Function Spaces 17 Mediterranean Journal of Mathematics 16 Applicable Analysis 15 Acta Mathematicae Applicatae Sinica. English Series 15 Journal of Applied Mathematics 14 Journal of Inequalities and Applications 14 Nonlinear Analysis. Real World Applications 13 Applied Mathematics. Series B (English Edition) 13 Positivity 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 13 Journal of Fixed Point Theory and Applications 13 AIMS Mathematics 12 Rocky Mountain Journal of Mathematics 12 Differential Equations and Applications 10 Journal of Differential Equations 10 Communications in Nonlinear Science and Numerical Simulation 9 Mathematical Methods in the Applied Sciences 8 Mathematische Nachrichten 8 Turkish Journal of Mathematics 8 Acta Mathematica Sinica. English Series 8 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Applied Analysis and Computation 8 Open Mathematics 7 Monatshefte für Mathematik 7 Topological Methods in Nonlinear Analysis 7 Discrete and Continuous Dynamical Systems 7 International Journal of Differential Equations 6 Results in Mathematics 6 Applied Mathematics and Mechanics. (English Edition) 6 Electronic Journal of Differential Equations (EJDE) 6 Mathematical Problems in Engineering 6 Differential Equations and Dynamical Systems 6 Communications on Pure and Applied Analysis 6 Complex Variables and Elliptic Equations 5 Czechoslovak Mathematical Journal 5 Quaestiones Mathematicae 5 Acta Applicandae Mathematicae 5 Bulletin of the Iranian Mathematical Society 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Nonlinear Analysis. Modelling and Control 5 Mathematical Modelling and Analysis 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Bulletin of the Australian Mathematical Society 4 Lithuanian Mathematical Journal 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Proceedings of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applications of Mathematics 4 Linear Algebra and its Applications 4 Journal of Dynamics and Differential Equations 4 Journal of Mathematical Chemistry 4 Analysis and Applications (Singapore) 4 Journal of Function Spaces and Applications 4 Journal of Nonlinear Science and Applications 3 Mathematics and Computers in Simulation 3 Mathematica Slovaca 3 Stochastic Analysis and Applications 3 Journal of Integral Equations and Applications 3 Numerical Algorithms 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Opuscula Mathematica 3 Journal of Applied Analysis 3 Fixed Point Theory 3 Fixed Point Theory and Applications 3 Science China. Mathematics 3 Advances in Pure and Applied Mathematics 3 Symmetry 3 Mathematical Sciences 3 Journal of Elliptic and Parabolic Equations 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Collectanea Mathematica 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Kyungpook Mathematical Journal 2 Le Matematiche 2 Numerical Functional Analysis and Optimization 2 Bulletin of the Korean Mathematical Society 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics ...and 99 more Serials
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### Cited in 38 Fields

 1,316 Ordinary differential equations (34-XX) 523 Operator theory (47-XX) 219 Partial differential equations (35-XX) 173 Difference and functional equations (39-XX) 63 Numerical analysis (65-XX) 39 Integral equations (45-XX) 38 Mechanics of deformable solids (74-XX) 37 Biology and other natural sciences (92-XX) 33 Global analysis, analysis on manifolds (58-XX) 25 Probability theory and stochastic processes (60-XX) 23 Real functions (26-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Functional analysis (46-XX) 11 Systems theory; control (93-XX) 10 Abstract harmonic analysis (43-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)