## Lu, Shiping

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 Author ID: lu.shiping Published as: Lu, Shiping; Lu, Shi Ping; Lu, Shi-ping; Shiping, Lu; Lu, Shipin; Lu, S. P. more...less Homepage: https://cn.linkedin.com/in/shiping-lu-3303b890 External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 216 Publications since 1997 Co-Authors: 83 Co-Authors with 187 Joint Publications 3,451 Co-Co-Authors
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### Co-Authors

 29 single-authored 36 Ge, Weigao 14 Kong, Fanchao 9 Chen, Lijuan 8 Gao, Fabao 8 Jin, Shan 8 Li, Xiaojing 8 Liang, Feng 8 Liang, Zaitao 8 Lv, Xiang 8 Yu, Xingchen 7 Wang, Zhengxin 6 Zheng, Zuxiu 6 Zhu, Min 5 Du, Bo 5 Wang, Na 5 Yan, Ping 5 Zhu, Yanling 4 Cao, Jinde 4 Li, Jie 4 Shen, Zuomin 4 Wei, Lijun 4 Zhang, Jiashun 4 Zheng, Dongmei 3 Gui, Zhanjie 3 Guo, Yuanzhi 3 Hu, Guangping 3 Li, Xiaoling 3 Qian, Longxia 3 Wang, Kai 3 Zhang, Wei 3 Zheng, Haiyan 3 Zhong, Tao 2 Chen, Wenbin 2 Chen, Xuanqing 2 Chu, Jifeng 2 Feng, Liang 2 Gan, Lili 2 Gao, Fang 2 Guo, Lixiang 2 Jia, Xuewen 2 Lixiang, Guo 2 Lu, Ming 2 Luo, Zhiguo 2 Wang, Yigao 2 Xia, Dafeng 2 Zhang, Zhirong 2 Zheng, Liang 2 Zhou, Shile 2 Zhou, Youming 1 Cheng, Jun 1 Gao, Yajing 1 Gui, Zhanji 1 Han, Maoan 1 Hong, Zikang 1 Huang, Dexin 1 Huang, Jin 1 Jiang, Jifa 1 Li, Xun 1 Li, Yalin 1 Liao, Fangfang 1 Liu, Daojin 1 Niu, Liang 1 Ren, Jingli 1 Ren, Yong 1 Shan, Jin 1 Sheng, Mei 1 Tang, Zhaoding 1 Wang, Yajiao 1 Wang, Yuchan 1 Wang, Yuepeng 1 Wen, Qian 1 Wu, Bin 1 Xia, Ningmao 1 Xiong, Yanqin 1 Xue, Runyu 1 Yan, Lin 1 Yao, Minghui 1 Zhai, An 1 Zhang, Chunlin 1 Zhang, Haiyan 1 Zhang, Xiufeng 1 Zheng, Shuyuan 1 Zhou, Xiaoxi
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### Serials

 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Anhui Normal University. Natural Science 14 Annals of Differential Equations 13 Journal of Mathematical Analysis and Applications 11 Journal of Mathematical Study 10 Applied Mathematics and Computation 8 Journal of Sichuan University. Natural Science Edition 8 Nonlinear Analysis. Real World Applications 7 Advances in Difference Equations 6 Journal of Systems Science and Mathematical Sciences 5 Acta Mathematica Sinica 5 Mathematica Applicata 5 Acta Mathematica Sinica. English Series 5 Acta Mathematica Scientia. Series A. (Chinese Edition) 4 Journal of the Franklin Institute 4 Boundary Value Problems 3 Journal of Computational and Applied Mathematics 3 Journal of Mathematical Research & Exposition 3 Chinese Quarterly Journal of Mathematics 3 Journal of Applied Mathematics and Computing 3 Journal of Fixed Point Theory and Applications 2 Journal of Mathematics. Wuhan University 2 Acta Mathematicae Applicatae Sinica 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Applied Mathematics. Series B (English Edition) 2 Journal of Zhengzhou University. Natural Science Edition 2 Journal of Applied Mathematics 2 Acta Mathematica Sinica. Chinese Series 2 Journal of Mathematical Research with Applications 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Mathematica Slovaca 1 Results in Mathematics 1 Journal of Lanzhou University. Natural Sciences 1 Mathematics in Practice and Theory 1 Chinese Annals of Mathematics. Series A 1 Journal of East China Normal University. Natural Science Edition 1 Advances in Mathematics 1 Mathematical and Computer Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Applied Mathematics E-Notes 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Jilin University. Science Edition 1 Communications on Pure and Applied Analysis 1 Journal of Xuzhou Normal University. Natural Science Edition 1 International Journal of Contemporary Mathematical Sciences 1 Journal of Hangzhou Normal University. Natural Sciences Edition 1 International Journal of Biomathematics 1 Differential Equations and Applications 1 Chinese Journal of Engineering Mathematics 1 Advances and Applications in Mathematical Sciences 1 Advances in Nonlinear Analysis
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### Fields

 202 Ordinary differential equations (34-XX) 81 Operator theory (47-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Biology and other natural sciences (92-XX) 14 Partial differential equations (35-XX) 12 Global analysis, analysis on manifolds (58-XX) 2 Integral equations (45-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

109 Publications have been cited 1,131 times in 537 Documents Cited by Year
Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument. Zbl 1078.34048
Lu, Shiping; Ge, Weigao
2004
Periodic solutions for a kind of Liénard equation with a deviating argument. Zbl 1054.34114
Lu, Shiping; Ge, Weigao
2004
Periodic solutions for a kind of second order differential equation with multiple deviating arguments. Zbl 1037.34065
Lu, Shiping; Ge, Weigao
2003
On the existence of periodic solutions to $$p$$-Laplacian Rayleigh differential equation with a delay. Zbl 1109.34053
Lu, Shiping; Gui, Zhanjie
2007
Existence of homoclinic solutions for a class of second-order Hamiltonian systems. Zbl 1186.34059
Lv, Xiang; Lu, Shiping; Yan, Ping
2010
Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay. Zbl 1152.34388
Ren, Yong; Lu, Shiping; Xia, Ningmao
2008
On the existence of periodic solutions for neutral functional differential equation. Zbl 1037.34064
Lu, Shiping; Ge, Weigao
2003
On the existence of positive periodic solutions for neutral functional differential equation with multiple deviating arguments. Zbl 1034.34084
Lu, Shiping
2003
Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument. Zbl 1087.34048
Lu, Shiping; Ge, Weigao
2005
Periodic solutions to neutral differential equations with deviating arguments. Zbl 1070.34091
Lu, Shiping; Ge, Weigao; Zheng, Zuxiou
2004
Periodic solutions to a second order $$p$$-Laplacian neutral functional differential system. Zbl 1162.34347
Lu, Shiping
2008
On the existence of positive periodic solutions to a Lotka-Volterra cooperative population model with multiple delays. Zbl 1139.34317
Lu, Shiping
2008
Periodic solutions for a kind of Rayleigh equation with a deviating argument. Zbl 1073.34081
Lu, Shiping; Ge, Weigao; Zheng, Zuxiou
2004
Existence of positive periodic solutions for neutral logarithmic population model with multiple delays. Zbl 1061.34053
Lu, Shiping; Ge, Weigao
2004
Existence of periodic solutions for a kind of second-order neutral functional differential equation. Zbl 1059.34043
Lu, Shiping; Ge, Weigao
2004
Periodic solutions to a second-order differential equation with deviating arguments. Zbl 1027.34079
Lu, Shiping; Ge, Weigao
2002
Existence of positive periodic solutions for neutral population model with multiple delays. Zbl 1042.92026
Lu, Shiping; Ge, Weigao
2004
On the existence of $$m$$-point boundary value problem at resonance for higher order differential equation. Zbl 1046.34029
Lu, Shiping; Ge, Weigao
2003
Homoclinic solutions for a nonlinear second order differential system with $$p$$-Laplacian operator. Zbl 1229.34068
Lu, Shiping
2011
Periodic solutions for Liénard equation with an indefinite singularity. Zbl 1411.34058
Lu, Shiping; Guo, Yuanzhi; Chen, Lijuan
2019
Periodic solutions for generalized Liénard neutral equation with variable parameter. Zbl 1166.34325
Du, Bo; Guo, Lixiang; Ge, Weigao; Lu, Shiping
2009
Periodic solutions for a fourth-order $$p$$-Laplacian differential equation with a deviating argument. Zbl 1157.34347
Shan, Jin; Shiping, Lu
2008
Problems of periodic solutions for a kind of second order neutral functional differential equation. Zbl 1044.34039
Lu, Shiping; Ren, Jingli; Ge, Weigao
2003
Homoclinic solutions for a class of second-order Hamiltonian systems. Zbl 1238.34090
Lv, Xiang; Lu, Shiping; Jiang, Jifa
2012
Periodic solutions for $$p$$-Laplacian neutral functional differential equation with deviating arguments. Zbl 1120.34066
Zhu, Yanling; Lu, Shiping
2007
Periodic solutions of neutral differential equation with multiple deviating arguments. Zbl 1071.34068
Lu, Shiping; Ge, Weigao
2004
A multiplicity result for periodic solutions of Liénard equations with an attractive singularity. Zbl 1428.34057
Yu, Xingchen; Lu, Shiping
2019
Periodic solutions for $$p$$-Laplacian Rayleigh equations with singularities. Zbl 1348.34079
Lu, Shipin; Zhong, Tao; Chen, Lijuan
2016
New results on the existence of periodic solutions to a $$p$$-Laplacian differential equation with a deviating argument. Zbl 1130.34042
Lu, Shiping
2007
Periodic solutions for second order differential equations with indefinite singularities. Zbl 1431.34055
Lu, Shiping; Yu, Xingchen
2020
Homoclinic solutions for a class of second-order $$p$$-Laplacian differential systems with delay. Zbl 1216.34063
Lu, Shiping
2011
Existence of periodic solutions to a $$p$$-Laplacian Liénard differential equation with a deviating argument. Zbl 1139.34316
Lu, Shiping
2008
On the existence of periodic solutions for a kind of high-order neutral functional differential equation. Zbl 1113.34054
Wang, Kai; Lu, Shiping
2007
Bifurcation analysis and spatiotemporal patterns in a diffusive predator-prey model. Zbl 1296.35008
Hu, Guangping; Li, Xiaoling; Lu, Shiping; Wang, Yuepeng
2014
Periodic solutions to a kind of neutral functional differential equation in the critical case. Zbl 1057.34096
Lu, Shiping; Ge, Weigao; Zheng, Zuxiou
2004
Periodic solutions for a kind of Rayleigh equation with a deviating argument. Zbl 1293.34087
Lu, Shiping; Ge, Weigao; Zheng, Zuxiu
2004
Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments. Zbl 1186.34118
Lv, Xiang; Lu, Shiping; Yan, Ping
2010
Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential. Zbl 1203.34067
Lv, Xiang; Lu, Shiping; Yan, Ping
2010
Periodic solutions for a kind of second-order neutral differential systems with deviating arguments. Zbl 1069.34101
Lu, Shiping; Ge, Weigao
2004
Existence of periodic solutions for a Liénard type $$p$$-Laplacian differential equation with a deviating argument. Zbl 1159.34049
Gao, Fabao; Lu, Shiping
2008
Periodic solutions for a kind of high-orderp-Laplacian differential equation with sign-changing coefficient ahead of the non-linear term. Zbl 1161.34331
Li, Xiaojing; Lu, Shiping
2009
Existence of periodic solutions for a $$p$$-Laplacian neutral functional differential equation. Zbl 1161.34347
Lu, Shiping
2009
The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments. Zbl 1205.34084
Wang, Zhengxin; Qian, Longxia; Lu, Shiping; Cao, Jinde
2010
Existence of homoclinic solutions for a class of neutral functional differential equations. Zbl 1267.34120
Lu, Shi Ping
2012
Existence of positive periodic solutions for neutral functional differential equations with deviating arguments. Zbl 1025.34073
Lu, Shiping; Ge, Weigao
2002
New results on the existence and uniqueness of periodic solutions for Liénard type $$p$$-Laplacian equation. Zbl 1159.34343
Gao, Fabao; Lu, Shiping
2008
Limit cycle bifurcations near a generalized homoclinic loop in piecewise smooth systems with a hyperbolic saddle on a switch line. Zbl 1335.34074
Wei, Lijun; Liang, Feng; Lu, Shiping
2014
Existence of periodic solutions for a fourth-order $$p$$-Laplacian equation with a deviating argument. Zbl 1176.34083
Lu, Shiping; Jin, Shan
2009
Periodic solutions for $$p$$-Laplacian neutral functional differential equation with multiple deviating arguments. Zbl 1129.34047
Zhu, Yanling; Lu, Shiping
2007
On the existence of periodic solutions for a kind of second order neutral functional differential equation. Zbl 1095.34044
Lu, Shiping; Ge, Weigao
2005
New properties of the D-operator and its applications on the problem of periodic solutions to neutral functional differential system. Zbl 1226.34078
Lu, Shiping; Xu, Yan; Xia, Dafeng
2011
Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation. Zbl 1375.34072
Liang, Zaitao; Lu, Shiping
2013
Homoclinic solutions for a second-order singular differential equation. Zbl 1409.34041
Lu, Shiping; Jia, Xuewen
2018
Periodic solutions for a kind of prescribed mean curvature Liénard equation with a singularity and a deviating argument. Zbl 1422.34141
Lu, Shiping; Kong, Fanchao
2015
Periodic solutions for $$p$$-Laplacian neutral Liénard equation with a sign-variable coefficient. Zbl 1298.34070
Gao, Fabao; Lu, Shiping; Zhang, Wei
2009
Periodic solutions for a singular Liénard equation with indefinite weight. Zbl 1472.34080
Lu, Shiping; Xue, Runyu
2019
A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type. Zbl 1358.34046
Lu, Shiping
2017
New results of periodic solutions for Rayleigh type $$p$$-Laplacian equation with a variable coefficient ahead of the nonlinear term. Zbl 1163.34385
Feng, Liang; Lixiang, Guo; Lu, Shiping
2009
Existence of periodic solutions for a $$p$$-Laplacian neutral functional differential equation with multiple variable parameters. Zbl 1182.34092
Wang, Zhengxin; Lu, Shiping; Cao, Jinde
2010
Existence of periodic solutions of a Liénard equation with a singularity of repulsive type. Zbl 1373.34066
Lu, Shiping; Wang, Yajiao; Guo, Yuanzhi
2017
Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case. Zbl 1103.34063
Lu, Shiping; Gui, Zhanjie; Ge, Weigao
2006
Two homoclinic solutions for a nonperiodic fourth-order differential equation without coercive condition. Zbl 1369.34066
Lu, Shiping; Zhong, Tao
2017
Existence of positive periodic solutions for neutral Liénard differential equations with a singularity. Zbl 1336.34099
Kong, Fanchao; Lu, Shiping; Liang, Zaitao
2015
Homoclinic solutions for ordinary $$p$$-Laplacian systems. Zbl 1252.34049
Lv, Xiang; Lu, Shiping
2012
Existence and uniqueness of periodic solutions for a $$p$$-Laplacian Duffing equation with a deviating argument. Zbl 1173.34341
Gao, Fabao; Lu, Shiping; Zhang, Wei
2009
On the existence of periodic solutions to a $$p$$-Laplacian neutral differential equation in the critical case. Zbl 1191.34087
Lu, Shiping
2009
Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments. Zbl 1200.34102
Lv, Xiang; Yan, Ping; Lu, Shiping
2010
On the existence of periodic solutions to a $$p$$-Laplacian Rayleigh equation. Zbl 1188.34089
Du, Bo; Lu, Shiping
2009
Positive periodic solutions for singular higher order delay differential equations. Zbl 1419.34186
Kong, Fanchao; Lu, Shiping; Luo, Zhiguo
2017
Periodic solutions for a Rayleigh type equation with a variable coefficient ahead of the nonlinear term. Zbl 1154.34371
Gao, Fabao; Lu, Shiping
2009
Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator. Zbl 1380.34107
Lu, Shi Ping
2016
A new result on the existence of periodic solutions for Rayleigh equations with a singularity of repulsive type. Zbl 1422.34138
Chen, Lijuan; Lu, Shiping
2017
Homoclinic solutions for a class of second order neutral functional differential systems. Zbl 1299.34235
Lu, Shiping; Zheng, Liang; Chen, Lijuan
2013
Homoclinic orbits for a class of second-order Hamiltonian systems without a coercive potential. Zbl 1303.34035
Lv, Xiang; Lu, Shiping
2012
Existence of periodic solutions for a $$p$$-Laplacian neutral functional differential equation. Zbl 1190.34082
Feng, Liang; Lixiang, Guo; Shiping, Lu
2009
Periodic solutions for a Rayleigh type p-Laplacian equation with sign-variable coefficient of nonlinear term. Zbl 1201.34104
Gao, F. B.; Lu, S. P.; Zhang, W.
2010
The problem of existence of periodic solutions for neutral functional differential system with nonlinear difference operator. Zbl 1253.34064
Lu, Shiping; Chen, Lijuan
2012
Periodic solutions of $$p$$-Laplacian equations with singularities. Zbl 1419.35053
Lu, Shipin; Zhong, Tao; Gao, Yajing
2016
On the existence of periodic solutions for a kind of second-order $$n$$-dimensional neutral differential systems. Zbl 1040.34090
Lu, Shi Ping; Ge, Wei Gao
2003
Existence of solutions for a third-order multipoint boundary value problem with $$p$$-Laplacian. Zbl 1298.34043
Jin, Shan; Lu, Shiping
2010
Solitary wave and periodic wave solutions for a non-Newtonian filtration equation. Zbl 1304.35193
Liang, Zaitao; Chu, Jifeng; Lu, Shiping
2014
Existence and stability of periodic solutions for relativistic singular equations. Zbl 1366.34058
Chu, Jifeng; Liang, Zaitao; Liao, Fangfang; Lu, Shiping
2017
Homoclinic solutions for a second-order $$p$$-Laplacian functional differential system with local condition. Zbl 1351.34076
Lu, Shiping; Lu, Ming
2014
Existence of positive periodic solutions for a neutral Liénard equation with a singularity of repulsive type. Zbl 1412.34207
Lu, Shiping; Yu, Xingchen
2019
Homoclinic solutions for a class of prescribed mean curvature Liénard equations. Zbl 1422.34143
Lu, Shiping
2015
A kind of singularly perturbed boundary value problem for Volterra functional-differential equations. Zbl 0968.34066
Lu, Shiping
1998
Periodic solutions of non-autonomous ordinary $$p$$-Laplacian systems. Zbl 1219.34054
Lv, Xiang; Lu, Shiping; Yan, Ping
2011
Homoclinic solutions for $$n$$-dimensional prescribed mean curvature $$p$$-Laplacian equations. Zbl 06580561
Lu, Shiping; Kong, Fanchao
2015
Existence and global attractivity of positive periodic solutions of competition systems. Zbl 1368.34055
Zhu, Min; Lu, Shiping
2011
Periodic solutions for third order $$p$$-Laplacian equation with a deviating argument. Zbl 1169.34047
Jin, Shan; Lu, Shiping
2009
On the existence of periodic solutions to Rayleigh differential equation of neutral type in the critical case. Zbl 1121.34072
Lu, Shiping; Gui, Zhanjie
2007
The existence, uniqueness and global attractivity of periodic solution for a type of neutral functional differential system with delays. Zbl 1128.34044
Wang, Kai; Lu, Shiping
2007
A priori bounds for periodic solutions of a kind of second order neutral functional differential equation with multiple deviating arguments. Zbl 1107.34058
Lu, Shi Ping; Ge, Wei Gao
2005
On the existence of periodic solutions to a fourth-order $$p$$-Laplacian differential equation with a deviating argument. Zbl 1194.34132
Wang, Zhengxin; Qian, Longxia; Lu, Shiping
2010
A kind of singularly perturbed boundary value problem for nonlinear Volterra functional-differential equations. Zbl 0956.34055
Lu, Shiping
2000
On the existence of positive periodic solutions for neutral functional differential equation with multiple deviating arguments. Zbl 1063.34062
Lu, Shiping; Ge, Weigao
2003
Limit cycle bifurcations near a homoclinic loop in piecewise smooth systems. Zbl 1313.34045
Wei, Lijun; Liang, Feng; Lu, Shiping
2014
Positive periodic solutions for singular high-order neutral functional differential equations. Zbl 06856348
Kong, Fanchao; Luo, Zhiguo; Lu, Shiping
2018
Existence of solutions for a fourth order boundary value problem with $$p$$-Laplacian at resonance. Zbl 1240.34057
Jin, Shan; Lu, Shiping
2011
Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity. Zbl 1437.34053
Lu, Shiping; Jia, Xuewen
2020
A singular periodic Ambrosetti-Prodi problem of Rayleigh equations without coercivity conditions. Zbl 1503.34090
Yu, Xingchen; Lu, Shiping
2022
Periodic solutions for second order differential equations with indefinite singularities. Zbl 1431.34055
Lu, Shiping; Yu, Xingchen
2020
Existence and uniqueness of homoclinic solution for a Rayleigh equation with a singularity. Zbl 1437.34053
Lu, Shiping; Jia, Xuewen
2020
Periodic solutions for Liénard equation with an indefinite singularity. Zbl 1411.34058
Lu, Shiping; Guo, Yuanzhi; Chen, Lijuan
2019
A multiplicity result for periodic solutions of Liénard equations with an attractive singularity. Zbl 1428.34057
Yu, Xingchen; Lu, Shiping
2019
Periodic solutions for a singular Liénard equation with indefinite weight. Zbl 1472.34080
Lu, Shiping; Xue, Runyu
2019
Existence of positive periodic solutions for a neutral Liénard equation with a singularity of repulsive type. Zbl 1412.34207
Lu, Shiping; Yu, Xingchen
2019
Homoclinic solutions for a second-order singular differential equation. Zbl 1409.34041
Lu, Shiping; Jia, Xuewen
2018
Positive periodic solutions for singular high-order neutral functional differential equations. Zbl 06856348
Kong, Fanchao; Luo, Zhiguo; Lu, Shiping
2018
Existence of positive periodic solutions for neutral Lienard equations with a singularity of repulsive type. Zbl 1424.34128
Lu, Shiping; Niu, Liang; Guo, Yuanzhi; Chen, Lijuan
2018
A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type. Zbl 1358.34046
Lu, Shiping
2017
Existence of periodic solutions of a Liénard equation with a singularity of repulsive type. Zbl 1373.34066
Lu, Shiping; Wang, Yajiao; Guo, Yuanzhi
2017
Two homoclinic solutions for a nonperiodic fourth-order differential equation without coercive condition. Zbl 1369.34066
Lu, Shiping; Zhong, Tao
2017
Positive periodic solutions for singular higher order delay differential equations. Zbl 1419.34186
Kong, Fanchao; Lu, Shiping; Luo, Zhiguo
2017
A new result on the existence of periodic solutions for Rayleigh equations with a singularity of repulsive type. Zbl 1422.34138
Chen, Lijuan; Lu, Shiping
2017
Existence and stability of periodic solutions for relativistic singular equations. Zbl 1366.34058
Chu, Jifeng; Liang, Zaitao; Liao, Fangfang; Lu, Shiping
2017
Periodic solutions for $$p$$-Laplacian Rayleigh equations with singularities. Zbl 1348.34079
Lu, Shipin; Zhong, Tao; Chen, Lijuan
2016
Existence of periodic solutions for neutral functional differential equations with nonlinear difference operator. Zbl 1380.34107
Lu, Shi Ping
2016
Periodic solutions of $$p$$-Laplacian equations with singularities. Zbl 1419.35053
Lu, Shipin; Zhong, Tao; Gao, Yajing
2016
Periodic solutions for a kind of prescribed mean curvature Liénard equation with a singularity and a deviating argument. Zbl 1422.34141
Lu, Shiping; Kong, Fanchao
2015
Existence of positive periodic solutions for neutral Liénard differential equations with a singularity. Zbl 1336.34099
Kong, Fanchao; Lu, Shiping; Liang, Zaitao
2015
Homoclinic solutions for a class of prescribed mean curvature Liénard equations. Zbl 1422.34143
Lu, Shiping
2015
Homoclinic solutions for $$n$$-dimensional prescribed mean curvature $$p$$-Laplacian equations. Zbl 06580561
Lu, Shiping; Kong, Fanchao
2015
Periodic solutions for Liénard type equation with time-variable coefficient. Zbl 1422.34201
Gao, Fabao; Lu, Shiping; Yao, Minghui
2015
Bifurcation analysis and spatiotemporal patterns in a diffusive predator-prey model. Zbl 1296.35008
Hu, Guangping; Li, Xiaoling; Lu, Shiping; Wang, Yuepeng
2014
Limit cycle bifurcations near a generalized homoclinic loop in piecewise smooth systems with a hyperbolic saddle on a switch line. Zbl 1335.34074
Wei, Lijun; Liang, Feng; Lu, Shiping
2014
Solitary wave and periodic wave solutions for a non-Newtonian filtration equation. Zbl 1304.35193
Liang, Zaitao; Chu, Jifeng; Lu, Shiping
2014
Homoclinic solutions for a second-order $$p$$-Laplacian functional differential system with local condition. Zbl 1351.34076
Lu, Shiping; Lu, Ming
2014
Limit cycle bifurcations near a homoclinic loop in piecewise smooth systems. Zbl 1313.34045
Wei, Lijun; Liang, Feng; Lu, Shiping
2014
Stationary patterns for a Leslie-Gower type three species model with diffusion. Zbl 1309.35022
Hu, Guangping; Li, Xiaoling; Lu, Shiping
2014
Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation. Zbl 1375.34072
Liang, Zaitao; Lu, Shiping
2013
Homoclinic solutions for a class of second order neutral functional differential systems. Zbl 1299.34235
Lu, Shiping; Zheng, Liang; Chen, Lijuan
2013
Homoclinic solutions for a class of second-order Hamiltonian systems. Zbl 1238.34090
Lv, Xiang; Lu, Shiping; Jiang, Jifa
2012
Existence of homoclinic solutions for a class of neutral functional differential equations. Zbl 1267.34120
Lu, Shi Ping
2012
Homoclinic solutions for ordinary $$p$$-Laplacian systems. Zbl 1252.34049
Lv, Xiang; Lu, Shiping
2012
Homoclinic orbits for a class of second-order Hamiltonian systems without a coercive potential. Zbl 1303.34035
Lv, Xiang; Lu, Shiping
2012
The problem of existence of periodic solutions for neutral functional differential system with nonlinear difference operator. Zbl 1253.34064
Lu, Shiping; Chen, Lijuan
2012
Homoclinic solutions for a nonlinear second order differential system with $$p$$-Laplacian operator. Zbl 1229.34068
Lu, Shiping
2011
Homoclinic solutions for a class of second-order $$p$$-Laplacian differential systems with delay. Zbl 1216.34063
Lu, Shiping
2011
New properties of the D-operator and its applications on the problem of periodic solutions to neutral functional differential system. Zbl 1226.34078
Lu, Shiping; Xu, Yan; Xia, Dafeng
2011
Periodic solutions of non-autonomous ordinary $$p$$-Laplacian systems. Zbl 1219.34054
Lv, Xiang; Lu, Shiping; Yan, Ping
2011
Existence and global attractivity of positive periodic solutions of competition systems. Zbl 1368.34055
Zhu, Min; Lu, Shiping
2011
Existence of solutions for a fourth order boundary value problem with $$p$$-Laplacian at resonance. Zbl 1240.34057
Jin, Shan; Lu, Shiping
2011
Existence of homoclinic solutions for a class of second-order Hamiltonian systems. Zbl 1186.34059
Lv, Xiang; Lu, Shiping; Yan, Ping
2010
Existence and global attractivity of positive periodic solutions of Lotka-Volterra predator-prey systems with deviating arguments. Zbl 1186.34118
Lv, Xiang; Lu, Shiping; Yan, Ping
2010
Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential. Zbl 1203.34067
Lv, Xiang; Lu, Shiping; Yan, Ping
2010
The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments. Zbl 1205.34084
Wang, Zhengxin; Qian, Longxia; Lu, Shiping; Cao, Jinde
2010
Existence of periodic solutions for a $$p$$-Laplacian neutral functional differential equation with multiple variable parameters. Zbl 1182.34092
Wang, Zhengxin; Lu, Shiping; Cao, Jinde
2010
Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments. Zbl 1200.34102
Lv, Xiang; Yan, Ping; Lu, Shiping
2010
Periodic solutions for a Rayleigh type p-Laplacian equation with sign-variable coefficient of nonlinear term. Zbl 1201.34104
Gao, F. B.; Lu, S. P.; Zhang, W.
2010
Existence of solutions for a third-order multipoint boundary value problem with $$p$$-Laplacian. Zbl 1298.34043
Jin, Shan; Lu, Shiping
2010
On the existence of periodic solutions to a fourth-order $$p$$-Laplacian differential equation with a deviating argument. Zbl 1194.34132
Wang, Zhengxin; Qian, Longxia; Lu, Shiping
2010
Periodic solutions for generalized Liénard neutral equation with variable parameter. Zbl 1166.34325
Du, Bo; Guo, Lixiang; Ge, Weigao; Lu, Shiping
2009
Periodic solutions for a kind of high-orderp-Laplacian differential equation with sign-changing coefficient ahead of the non-linear term. Zbl 1161.34331
Li, Xiaojing; Lu, Shiping
2009
Existence of periodic solutions for a $$p$$-Laplacian neutral functional differential equation. Zbl 1161.34347
Lu, Shiping
2009
Existence of periodic solutions for a fourth-order $$p$$-Laplacian equation with a deviating argument. Zbl 1176.34083
Lu, Shiping; Jin, Shan
2009
Periodic solutions for $$p$$-Laplacian neutral Liénard equation with a sign-variable coefficient. Zbl 1298.34070
Gao, Fabao; Lu, Shiping; Zhang, Wei
2009
New results of periodic solutions for Rayleigh type $$p$$-Laplacian equation with a variable coefficient ahead of the nonlinear term. Zbl 1163.34385
Feng, Liang; Lixiang, Guo; Lu, Shiping
2009
Existence and uniqueness of periodic solutions for a $$p$$-Laplacian Duffing equation with a deviating argument. Zbl 1173.34341
Gao, Fabao; Lu, Shiping; Zhang, Wei
2009
On the existence of periodic solutions to a $$p$$-Laplacian neutral differential equation in the critical case. Zbl 1191.34087
Lu, Shiping
2009
On the existence of periodic solutions to a $$p$$-Laplacian Rayleigh equation. Zbl 1188.34089
Du, Bo; Lu, Shiping
2009
Periodic solutions for a Rayleigh type equation with a variable coefficient ahead of the nonlinear term. Zbl 1154.34371
Gao, Fabao; Lu, Shiping
2009
Existence of periodic solutions for a $$p$$-Laplacian neutral functional differential equation. Zbl 1190.34082
Feng, Liang; Lixiang, Guo; Shiping, Lu
2009
Periodic solutions for third order $$p$$-Laplacian equation with a deviating argument. Zbl 1169.34047
Jin, Shan; Lu, Shiping
2009
Remarks on the existence and uniqueness of the solutions to stochastic functional differential equations with infinite delay. Zbl 1152.34388
Ren, Yong; Lu, Shiping; Xia, Ningmao
2008
Periodic solutions to a second order $$p$$-Laplacian neutral functional differential system. Zbl 1162.34347
Lu, Shiping
2008
On the existence of positive periodic solutions to a Lotka-Volterra cooperative population model with multiple delays. Zbl 1139.34317
Lu, Shiping
2008
Periodic solutions for a fourth-order $$p$$-Laplacian differential equation with a deviating argument. Zbl 1157.34347
Shan, Jin; Shiping, Lu
2008
Existence of periodic solutions to a $$p$$-Laplacian Liénard differential equation with a deviating argument. Zbl 1139.34316
Lu, Shiping
2008
Existence of periodic solutions for a Liénard type $$p$$-Laplacian differential equation with a deviating argument. Zbl 1159.34049
Gao, Fabao; Lu, Shiping
2008
New results on the existence and uniqueness of periodic solutions for Liénard type $$p$$-Laplacian equation. Zbl 1159.34343
Gao, Fabao; Lu, Shiping
2008
On the existence of periodic solutions to $$p$$-Laplacian Rayleigh differential equation with a delay. Zbl 1109.34053
Lu, Shiping; Gui, Zhanjie
2007
Periodic solutions for $$p$$-Laplacian neutral functional differential equation with deviating arguments. Zbl 1120.34066
Zhu, Yanling; Lu, Shiping
2007
New results on the existence of periodic solutions to a $$p$$-Laplacian differential equation with a deviating argument. Zbl 1130.34042
Lu, Shiping
2007
On the existence of periodic solutions for a kind of high-order neutral functional differential equation. Zbl 1113.34054
Wang, Kai; Lu, Shiping
2007
Periodic solutions for $$p$$-Laplacian neutral functional differential equation with multiple deviating arguments. Zbl 1129.34047
Zhu, Yanling; Lu, Shiping
2007
On the existence of periodic solutions to Rayleigh differential equation of neutral type in the critical case. Zbl 1121.34072
Lu, Shiping; Gui, Zhanjie
2007
The existence, uniqueness and global attractivity of periodic solution for a type of neutral functional differential system with delays. Zbl 1128.34044
Wang, Kai; Lu, Shiping
2007
Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case. Zbl 1103.34063
Lu, Shiping; Gui, Zhanjie; Ge, Weigao
2006
Sufficient conditions for the existence of periodic solutions to some second order differential equations with a deviating argument. Zbl 1087.34048
Lu, Shiping; Ge, Weigao
2005
On the existence of periodic solutions for a kind of second order neutral functional differential equation. Zbl 1095.34044
Lu, Shiping; Ge, Weigao
2005
A priori bounds for periodic solutions of a kind of second order neutral functional differential equation with multiple deviating arguments. Zbl 1107.34058
Lu, Shi Ping; Ge, Wei Gao
2005
Periodic solutions to a kind of second order neutral functional differential equation in the critical case. Zbl 1087.34049
Lu, Shiping; Ge, Weigao; Zheng, Zuxiu
2005
On the existence of positive periodic solutions for $$n$$-species Lotka-Volterra population model with multiple deviating arguments. Zbl 1124.34348
Lu, Shi Ping; Ge, Wei Gao
2005
Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument. Zbl 1078.34048
Lu, Shiping; Ge, Weigao
2004
Periodic solutions for a kind of Liénard equation with a deviating argument. Zbl 1054.34114
Lu, Shiping; Ge, Weigao
2004
Periodic solutions to neutral differential equations with deviating arguments. Zbl 1070.34091
Lu, Shiping; Ge, Weigao; Zheng, Zuxiou
2004
Periodic solutions for a kind of Rayleigh equation with a deviating argument. Zbl 1073.34081
Lu, Shiping; Ge, Weigao; Zheng, Zuxiou
2004
Existence of positive periodic solutions for neutral logarithmic population model with multiple delays. Zbl 1061.34053
Lu, Shiping; Ge, Weigao
2004
Existence of periodic solutions for a kind of second-order neutral functional differential equation. Zbl 1059.34043
Lu, Shiping; Ge, Weigao
2004
Existence of positive periodic solutions for neutral population model with multiple delays. Zbl 1042.92026
Lu, Shiping; Ge, Weigao
2004
Periodic solutions of neutral differential equation with multiple deviating arguments. Zbl 1071.34068
Lu, Shiping; Ge, Weigao
2004
Periodic solutions to a kind of neutral functional differential equation in the critical case. Zbl 1057.34096
Lu, Shiping; Ge, Weigao; Zheng, Zuxiou
2004
Periodic solutions for a kind of Rayleigh equation with a deviating argument. Zbl 1293.34087
Lu, Shiping; Ge, Weigao; Zheng, Zuxiu
2004
Periodic solutions for a kind of second-order neutral differential systems with deviating arguments. Zbl 1069.34101
Lu, Shiping; Ge, Weigao
2004
Periodic solutions for a kind of second order differential equation with multiple deviating arguments. Zbl 1037.34065
Lu, Shiping; Ge, Weigao
2003
On the existence of periodic solutions for neutral functional differential equation. Zbl 1037.34064
Lu, Shiping; Ge, Weigao
2003
On the existence of positive periodic solutions for neutral functional differential equation with multiple deviating arguments. Zbl 1034.34084
Lu, Shiping
2003
On the existence of $$m$$-point boundary value problem at resonance for higher order differential equation. Zbl 1046.34029
Lu, Shiping; Ge, Weigao
2003
Problems of periodic solutions for a kind of second order neutral functional differential equation. Zbl 1044.34039
Lu, Shiping; Ren, Jingli; Ge, Weigao
2003
...and 9 more Documents
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### Cited by 559 Authors

 82 Lu, Shiping 31 Cheng, Zhibo 27 Ge, Weigao 25 Du, Bo 19 Xin, Yun 16 Liu, Bingwen 15 Kong, Fanchao 12 Ren, Jingli 11 Huang, Lihong 9 Gao, Fabao 9 Pei, Minghe 9 Ren, Yong 9 Yao, Shaowen 8 Luo, Zhiguo 8 Lv, Xiang 8 Tang, Chun-Lei 8 Tang, Xianhua 8 Yu, Xingchen 7 Cao, Jinde 7 Dai, Binxiang 7 Du, Zengji 7 Timoumi, Mohsen 7 Wang, Kai 7 Zhang, Ziheng 6 Jiang, Weihua 6 Li, Yongkun 6 Wang, Libo 5 Bi, Zhonghua 5 Chen, Fengde 5 Chen, Lijuan 5 Cheung, Wing-Sum 5 Kim, Youngho 5 Liang, Zaitao 5 Luo, Zhenguo 5 Muhammadhaji, Ahmadjan 5 Shao, Jianying 5 Wang, Qi 5 Wang, Zhengxin 5 Wu, Dong-Lun 5 Wu, Jun 5 Xia, Yonghui 5 Xu, Changjin 5 Yuan, Rong 5 Zhang, Wei 5 Zhu, Yanling 4 Agarwal, Ravi P. 4 Chen, Lansun 4 He, Zhimin 4 Hu, Xueping 4 Liu, Hongmin 4 Liu, Zhijun 4 Lv, Ying 4 Tang, Meilan 4 Wang, Wentao 4 Wang, Yong 4 Yi, Xuejun 4 Zhang, Qiongfen 4 Zhang, Zhengqiu 4 Zheng, Zuxiu 3 Chen, Haibo 3 Chen, Wenbin 3 Chu, Jifeng 3 Feng, Meiqiang 3 Gui, Zhanjie 3 Guo, Chengjun 3 Guo, Yuanzhi 3 Hu, Guangping 3 Kumar Upadhyay, Ranjit 3 Li, Jin 3 Li, Wenxue 3 Li, Xiaoling 3 Li, Yaqiong 3 Li, Zhiyan 3 Lin, Xiaojie 3 Liu, Gui Rong 3 Liu, Xinge 3 Liu, Xiping 3 Long, Fei 3 Luo, Liping 3 Roy, Parimita 3 Sakthivel, Rathinasamy 3 Shen, Chunfang 3 Shen, Jianhua 3 Sun, Juntao 3 Teng, Zhi-dong 3 Wan, Lili 3 Wang, Lijuan 3 Wang, Zaihong 3 Wang, Zhi-Cheng 3 Wu, Xingping 3 Wu, Yusen 3 Xiao, Bing 3 Xiong, Wanmin 3 Yan, Jurang 3 Yang, Liu 3 Zhang, Qiming 3 Zhou, Jinglei 3 Zhou, Qiyuan 3 Zhou, Yinggao 2 Abouagwa, Mahmoud ...and 459 more Authors
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### Cited in 116 Serials

 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 48 Advances in Difference Equations 34 Applied Mathematics and Computation 34 Boundary Value Problems 31 Journal of Mathematical Analysis and Applications 28 Nonlinear Analysis. Real World Applications 23 Abstract and Applied Analysis 16 Journal of Computational and Applied Mathematics 16 Qualitative Theory of Dynamical Systems 13 Journal of Applied Mathematics and Computing 10 Journal of Inequalities and Applications 9 Applied Mathematics Letters 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Journal of Applied Analysis and Computation 7 Computers & Mathematics with Applications 7 Mathematical Methods in the Applied Sciences 7 Discrete Dynamics in Nature and Society 6 Journal of the Franklin Institute 6 Acta Mathematica Sinica. English Series 6 Journal of Applied Mathematics 6 Journal of Fixed Point Theory and Applications 5 Journal of Mathematical Physics 4 Results in Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Applications of Mathematics 4 Applied Mathematical Modelling 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 4 International Journal of Biomathematics 3 Physica A 3 Chaos, Solitons and Fractals 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Topological Methods in Nonlinear Analysis 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Mediterranean Journal of Mathematics 3 AIMS Mathematics 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Filomat 2 Complexity 2 Differential Equations and Dynamical Systems 2 Nonlinear Dynamics 2 Positivity 2 Chaos 2 Communications of the Korean Mathematical Society 2 Journal of Dynamical and Control Systems 2 Journal of Biological Systems 2 Stochastics and Dynamics 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Differential Equations 2 ISRN Mathematical Analysis 2 Analysis and Mathematical Physics 2 Journal of Function Spaces 2 Journal of Nonlinear and Variational Analysis 1 Bulletin of the Australian Mathematical Society 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Automatica 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Science in China. Series A 1 Numerical Algorithms 1 Journal of the Egyptian Mathematical Society 1 Georgian Mathematical Journal 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 Vietnam Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Analysis (München) 1 Communications in Contemporary Mathematics 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Nonlinear Functional Analysis and Applications 1 Mathematical Modelling and Analysis 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Function Spaces and Applications 1 Fixed Point Theory and Applications 1 Mathematical Biosciences and Engineering 1 Stochastics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Asian-European Journal of Mathematics ...and 16 more Serials
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### Cited in 26 Fields

 468 Ordinary differential equations (34-XX) 194 Operator theory (47-XX) 80 Biology and other natural sciences (92-XX) 69 Dynamical systems and ergodic theory (37-XX) 39 Partial differential equations (35-XX) 32 Global analysis, analysis on manifolds (58-XX) 29 Probability theory and stochastic processes (60-XX) 14 Systems theory; control (93-XX) 11 Mechanics of particles and systems (70-XX) 8 Difference and functional equations (39-XX) 7 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)