## Zhai, Chengbo

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 Author ID: zhai.chengbo Published as: Zhai, Chengbo; Zhai, Cheng-Bo; Zhai, C. B.; Zhai, Cheng Bo more...less External Links: ORCID
 Documents Indexed: 104 Publications since 1996 Co-Authors: 43 Co-Authors with 98 Joint Publications 1,612 Co-Co-Authors
all top 5

### Co-Authors

 5 single-authored 13 Ren, Jing 10 Yang, Chen 7 Jiang, Ruiting 6 Guo, Chunmei 6 Hao, Mengru 6 Li, Shunyong 6 Zhang, Lingling 5 Wang, Weixuan 4 Marasi, H. R. 4 Wang, Li 3 Afshari, Hojjat 3 Feng, Haixing 3 Jiang, Chunrong 3 Li, Hongyu 3 Song, Ruipeng 3 Xu, Li 3 Zhao, Li 3 Zhu, Xiaolin 2 Anderson, Douglas Robert 2 Fan, Ruixiong 2 Guo, Yaru 2 Han, Qianqian 2 Jin, Zhixiang 2 Li, Pingping 2 Liang, Wenning 2 Wang, Fang 2 Zhang, Jieming 1 Auchmuty, Giles 1 Cao, Xiaomin 1 Daneshbastam, M. 1 Gholamjan, Hojjat 1 Han, Guodong 1 Li, Yongjin 1 Lian, Xiuguo 1 Liu, Yuqing 1 Ma, Yuanyuan 1 Wang, Wenxia 1 Wang, Ya 1 Wei, Lifang 1 Yamazaki, Noriaki 1 Yan, Jurang 1 Yan, Weiping 1 Yang, Cheng 1 Zhang, Xiaoqin
all top 5

### Serials

 10 Advances in Difference Equations 5 Journal of Mathematical Analysis and Applications 5 Nonlinear Analysis. Modelling and Control 5 Boundary Value Problems 3 Computers & Mathematics with Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Inequalities and Applications 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Discrete Dynamics in Nature and Society 3 Acta Analysis Functionalis Applicata. AAFA 3 Journal of Shandong University. Natural Science 3 Journal of Nonlinear Science and Applications 3 Journal of Applied Analysis and Computation 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics Letters 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Communications 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Mediterranean Journal of Mathematics 2 International Journal of Dynamical Systems and Differential Equations 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Mathematics in Practice and Theory 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Computational and Applied Mathematics 1 East-West Journal of Numerical Mathematics 1 Integral Transforms and Special Functions 1 Pure and Applied Mathematics 1 Abstract and Applied Analysis 1 Chinese Quarterly Journal of Mathematics 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 Fixed Point Theory and Applications 1 Acta Mathematica Sinica. Chinese Series 1 Journal of North University of China. Natural Science Edition 1 Differential Equations and Applications 1 Chinese Journal of Engineering Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Jiangsu Normal University. Natural Science Edition 1 AIMS Mathematics
all top 5

### Fields

 72 Ordinary differential equations (34-XX) 57 Operator theory (47-XX) 18 Real functions (26-XX) 17 Partial differential equations (35-XX) 7 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of deformable solids (74-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 705 times in 389 Documents Cited by Year
Unique solutions for a new coupled system of fractional differential equations. Zbl 1445.34030
Zhai, Chengbo; Jiang, Ruiting
2018
Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems. Zbl 1253.47037
Zhai, Chengbo; Hao, Mengru
2012
A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems. Zbl 1261.35151
Zhai, Chengbo; Yan, Weiping; Yang, Chen
2013
Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument. Zbl 1113.34048
Yang, Chen; Zhai, Chengbo; Yan, Jurang
2006
New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems. Zbl 1225.47074
Zhai, Chengbo; Zhang, Lingling
2011
A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations. Zbl 1207.47064
Zhai, Chengbo; Anderson, Douglas R.
2011
$$\varphi$$-$$(h,e)$$-concave operators and applications. Zbl 1419.34046
Zhai, Chengbo; Wang, Li
2017
Positive solutions for nonlinear operator equations and several classes of applications. Zbl 1198.47078
Zhai, Cheng-Bo; Yang, Chen; Zhang, Xiao-Qin
2010
Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter. Zbl 07175091
Zhai, Chengbo; Xu, Li
2014
The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem. Zbl 1231.34036
Zhai, Chengbo; Song, Ruipeng; Han, Qianqian
2011
The unique solution for a fractional $$q$$-difference equation with three-point boundary conditions. Zbl 1387.39009
Zhai, Chengbo; Ren, Jing
2018
Positive and negative solutions of a boundary value problem for a fractional $$q$$-difference equation. Zbl 1422.39035
Zhai, Chengbo; Ren, Jing
2017
Positive solutions of operator equations on ordered Banach spaces and applications. Zbl 1165.47308
Zhai, Cheng-Bo; Yang, Chen; Guo, Chun-Mei
2008
On $$\alpha$$-convex operators. Zbl 1094.47047
Zhai, Chengbo; Guo, Chunmei
2006
A fractional $$q$$-difference equation with integral boundary conditions and comparison theorem. Zbl 1401.39010
Ren, Jing; Zhai, Chengbo
2017
Some existence and uniqueness results for nonlinear fractional partial differential equations. Zbl 1365.35214
Marasi, H. R.; Afshari, H.; Zhai, C. B.
2017
Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems. Zbl 1300.34024
Zhai, Chengbo; Hao, Mengru
2013
Fixed point theorems for $$\tau -\varphi$$-concave operators and applications. Zbl 1189.65122
Zhai, Cheng-Bo; Cao, Xiao-Min
2010
Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions. Zbl 1422.34072
Yang, Chen; Zhai, Chengbo; Zhang, Lingling
2017
Nonlocal $$q$$-fractional boundary value problem with Stieltjes integral conditions. Zbl 1479.39006
Ren, Jing; Zhai, Chengbo
2019
Some properties of sets, fixed point theorems in ordered product spaces and applications to a nonlinear system of fractional differential equations. Zbl 1461.47028
Zhai, Chengbo; Ren, Jing
2017
Positive solutions to semi-positone second-order three-point problems on time scales. Zbl 1188.34119
Anderson, Douglas R.; Zhai, Chengbo
2010
Fixed points of mixed monotone operators for existence and uniqueness of nonlinear fractional differential equations. Zbl 1370.34017
Marasi, H. R.; Afshari, H.; Daneshbastam, M.; Zhai, C. B.
2017
Properties of positive solutions for the operator equation $$Ax=\lambda x$$ and applications to fractional differential equations with integral boundary conditions. Zbl 1422.47059
Zhai, Chengbo; Wang, Fang
2015
New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions. Zbl 1341.34031
Li, Shunyong; Zhai, Chengbo
2015
Single upper-solution or lower-solution method for Langevin equations with two fractional orders. Zbl 1448.34028
Zhai, Chengbo; Li, Pingping; Li, Hongyu
2018
A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions. Zbl 1498.34050
Zhai, Chengbo; Wang, Weixuan; Li, Hongyu
2018
Some existence, uniqueness results on positive solutions for a fractional differential equation with infinite-point boundary conditions. Zbl 1420.34030
Zhai, Chengbo; Wang, Li
2017
Nonnegative solutions of initial value problems for Langevin equations involving two fractional orders. Zbl 1403.34009
Zhai, Chengbo; Li, Pingping
2018
Generalizations for a class of concave and convex operators. Zbl 1174.47046
Zhai, Chengbo; Wang, Wenxia; Zhang, Lingling
2008
Uniqueness of positive solutions for a fractional differential equation via a fixed point theorem of a sum operator. Zbl 1261.34011
Yang, Chen; Zhai, Chengbo
2012
An existence and uniqueness result for the singular Lane-Emden-Fowler equation. Zbl 1180.35256
Guo, Chunmei; Zhai, Chengbo; Song, Ruipeng
2010
Solutions for a system of Hadamard fractional differential equations with integral conditions. Zbl 1441.34019
Zhai, Chengbo; Wang, Weixuan
2020
Properties of positive solutions for $$m$$-point fractional differential equations on an infinite interval. Zbl 1435.34017
Zhai, Chengbo; Wang, Weixuan
2019
Uniqueness of positive solutions for several classes of sum operator equations and applications. Zbl 1370.47056
Yang, Chen; Zhai, Chengbo; Hao, Mengru
2014
On some properties of positive solutions for a third-order three-point boundary value problem with a parameter. Zbl 1444.34044
Zhai, Chengbo; Zhao, Li; Li, Shunyong; Marasi, H. R.
2017
Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions. Zbl 1420.34011
Feng, Haixing; Zhai, Chengbo
2017
Optimal control problem of positive solutions to second order impulsive differential equations. Zbl 1238.49052
Zhang, Lingling; Yamazaki, Noriaki; Zhai, Chengbo
2012
New applications of concave operators to existence and uniqueness of solutions for fractional differential equations. Zbl 07200861
Afshari, Hojjat; Gholamjan, Hojjat; Zhai, Chengbo
2020
Unique solutions for fractional $$q$$-difference boundary value problems via a fixed point method. Zbl 1417.39025
Ren, Jing; Zhai, Chengbo
2019
Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method. Zbl 1369.34042
Zhai, Chengbo; Jiang, Chunrong; Li, Shunyong
2017
Fixed point theorems for a class of mixed monotone operators with convexity. Zbl 1428.47021
Zhai, Chengbo
2013
Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order. Zbl 1477.34012
Hao, Mengru; Zhai, Chengbo
2014
Existence and uniqueness of convex monotone positive solutions for boundary value problems of an elastic beam equation with a parameter. Zbl 1349.34090
Zhai, Chengbo; Jiang, Chunrong
2015
Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters. Zbl 1420.34049
Jiang, Ruiting; Zhai, Chengbo
2018
Multi-point boundary value problems for a coupled system of nonlinear fractional differential equations. Zbl 1422.34077
Zhai, Chengbo; Hao, Mengru
2015
Positive solutions for semi-positone three-point boundary value problems. Zbl 1182.34036
Zhai, Chengbo
2009
Existence and uniqueness of positive periodic solutions for a first-order functional differential equation. Zbl 1350.34056
Yang, Chen; Zhai, Chengbo; Hao, Mengru
2015
Existence and uniqueness results for perturbed Neumann boundary value problems. Zbl 1215.34033
Zhang, Jieming; Zhai, Chengbo
2010
Solutions to a gauged Schrödinger equation with concave-convex nonlinearities without (AR) condition. Zbl 1465.35141
Liang, Wenning; Zhai, Chengbo
2021
Computation of rotating wave solutions of reaction-diffusion equations on a circle. Zbl 0866.65062
Auchmuty, G.; Zhai, C.
1996
Existence and uniqueness of positive solutions for Neumann problems of second order impulsive differential equations. Zbl 1211.34035
Zhai, Chengbo; Song, Ruipeng
2010
Solvability for two forms of nonlinear matrix equations. Zbl 1471.15011
Zhai, Chengbo; Jin, Zhixiang
2021
Unique solutions for new fractional differential equations with $$p$$-Laplacian and infinite-point boundary conditions. Zbl 1428.34024
Wang, Li; Zhai, Chengbo
2019
Existence of bound state solutions for the generalized Chern-Simons-Schrödinger system in $$H^1(\mathbb{R}^2)$$. Zbl 1430.35080
Liang, Wenning; Zhai, Chengbo
2020
Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method. Zbl 1345.34033
Zhai, Chengbo; Jiang, Chunrong
2016
Existence and uniqueness of monotone positive solutions for a third-order three-point boundary value problem. Zbl 1411.34041
Zhao, Li; Wang, Weixuan; Zhai, Chengbo
2018
Existence and uniqueness of positive solutions to nonlinear second order impulsive differential equations with concave or convex nonlinearities. Zbl 1417.34043
Zhang, Lingling; Zhai, Chengbo
2013
Positive solutions for third-order Sturm-Liouville boundary-value problems with $$p$$-Laplacian. Zbl 1186.34035
Zhai, Chengbo; Guo, Chunmei
2009
Solvability for $$p$$-Laplacian generalized fractional coupled systems with two-sided memory effects. Zbl 1466.34009
Ren, Jing; Zhai, Chengbo
2020
A fractional $$q$$-difference equation eigenvalue problem with $$p(t)$$-Laplacian operator. Zbl 1467.39007
Zhai, Chengbo; Ren, Jing
2021
Stability analysis for generalized fractional differential systems and applications. Zbl 1490.34010
Ren, Jing; Zhai, Chengbo
2020
Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations. Zbl 1413.35017
Jiang, Ruiting; Zhai, Chengbo
2018
The existence of positive solutions for mixed boundary value problems of $$p$$-Laplace equations. Zbl 1048.34053
Zhai, Chengbo
2003
Properties of unique positive solution for a class of nonlocal semilinear elliptic equation. Zbl 1387.35240
Jiang, Ruiting; Zhai, Chengbo
2017
Characteristic of unique positive solution for a fractional q-difference equation with multistrip boundary conditions. Zbl 1428.39013
Ren, Jing; Zhai, Chengbo
2019
Existence of positive solutions for mixed boundary value of $$p$$-Laplacian equations. Zbl 1130.34308
Zhai, Chengbo
2006
Uniqueness and properties of positive solutions for infinite-point fractional differential equation with $$p$$-Laplacian and a parameter. Zbl 1415.34029
Wang, Li; Zhai, Chengbo
2017
Fixed point theorems of $$u_0$$-concave operators and applications. Zbl 1199.47230
Zhai, Chengbo; Li, Yongjin
2008
Stability analysis of generalized neutral fractional differential systems with time delays. Zbl 1461.93456
Ren, Jing; Zhai, Chengbo
2021
Some extension results on cone $$b$$-metric spaces over Banach algebras via $$\varphi$$-operator. Zbl 1460.54064
Zhu, Xiaolin; Zhai, Chengbo
2021
Positive solutions for a new class of Hadamard fractional differential equations on infinite intervals. Zbl 1499.34067
Li, Shunyong; Zhai, Chengbo
2019
Solutions to a gauged Schrödinger equation with concave-convex nonlinearities without (AR) condition. Zbl 1465.35141
Liang, Wenning; Zhai, Chengbo
2021
Solvability for two forms of nonlinear matrix equations. Zbl 1471.15011
Zhai, Chengbo; Jin, Zhixiang
2021
A fractional $$q$$-difference equation eigenvalue problem with $$p(t)$$-Laplacian operator. Zbl 1467.39007
Zhai, Chengbo; Ren, Jing
2021
Stability analysis of generalized neutral fractional differential systems with time delays. Zbl 1461.93456
Ren, Jing; Zhai, Chengbo
2021
Some extension results on cone $$b$$-metric spaces over Banach algebras via $$\varphi$$-operator. Zbl 1460.54064
Zhu, Xiaolin; Zhai, Chengbo
2021
Solutions for a system of Hadamard fractional differential equations with integral conditions. Zbl 1441.34019
Zhai, Chengbo; Wang, Weixuan
2020
New applications of concave operators to existence and uniqueness of solutions for fractional differential equations. Zbl 07200861
Afshari, Hojjat; Gholamjan, Hojjat; Zhai, Chengbo
2020
Existence of bound state solutions for the generalized Chern-Simons-Schrödinger system in $$H^1(\mathbb{R}^2)$$. Zbl 1430.35080
Liang, Wenning; Zhai, Chengbo
2020
Solvability for $$p$$-Laplacian generalized fractional coupled systems with two-sided memory effects. Zbl 1466.34009
Ren, Jing; Zhai, Chengbo
2020
Stability analysis for generalized fractional differential systems and applications. Zbl 1490.34010
Ren, Jing; Zhai, Chengbo
2020
Nonlocal $$q$$-fractional boundary value problem with Stieltjes integral conditions. Zbl 1479.39006
Ren, Jing; Zhai, Chengbo
2019
Properties of positive solutions for $$m$$-point fractional differential equations on an infinite interval. Zbl 1435.34017
Zhai, Chengbo; Wang, Weixuan
2019
Unique solutions for fractional $$q$$-difference boundary value problems via a fixed point method. Zbl 1417.39025
Ren, Jing; Zhai, Chengbo
2019
Unique solutions for new fractional differential equations with $$p$$-Laplacian and infinite-point boundary conditions. Zbl 1428.34024
Wang, Li; Zhai, Chengbo
2019
Characteristic of unique positive solution for a fractional q-difference equation with multistrip boundary conditions. Zbl 1428.39013
Ren, Jing; Zhai, Chengbo
2019
Positive solutions for a new class of Hadamard fractional differential equations on infinite intervals. Zbl 1499.34067
Li, Shunyong; Zhai, Chengbo
2019
Unique solutions for a new coupled system of fractional differential equations. Zbl 1445.34030
Zhai, Chengbo; Jiang, Ruiting
2018
The unique solution for a fractional $$q$$-difference equation with three-point boundary conditions. Zbl 1387.39009
Zhai, Chengbo; Ren, Jing
2018
Single upper-solution or lower-solution method for Langevin equations with two fractional orders. Zbl 1448.34028
Zhai, Chengbo; Li, Pingping; Li, Hongyu
2018
A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions. Zbl 1498.34050
Zhai, Chengbo; Wang, Weixuan; Li, Hongyu
2018
Nonnegative solutions of initial value problems for Langevin equations involving two fractional orders. Zbl 1403.34009
Zhai, Chengbo; Li, Pingping
2018
Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters. Zbl 1420.34049
Jiang, Ruiting; Zhai, Chengbo
2018
Existence and uniqueness of monotone positive solutions for a third-order three-point boundary value problem. Zbl 1411.34041
Zhao, Li; Wang, Weixuan; Zhai, Chengbo
2018
Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations. Zbl 1413.35017
Jiang, Ruiting; Zhai, Chengbo
2018
$$\varphi$$-$$(h,e)$$-concave operators and applications. Zbl 1419.34046
Zhai, Chengbo; Wang, Li
2017
Positive and negative solutions of a boundary value problem for a fractional $$q$$-difference equation. Zbl 1422.39035
Zhai, Chengbo; Ren, Jing
2017
A fractional $$q$$-difference equation with integral boundary conditions and comparison theorem. Zbl 1401.39010
Ren, Jing; Zhai, Chengbo
2017
Some existence and uniqueness results for nonlinear fractional partial differential equations. Zbl 1365.35214
Marasi, H. R.; Afshari, H.; Zhai, C. B.
2017
Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions. Zbl 1422.34072
Yang, Chen; Zhai, Chengbo; Zhang, Lingling
2017
Some properties of sets, fixed point theorems in ordered product spaces and applications to a nonlinear system of fractional differential equations. Zbl 1461.47028
Zhai, Chengbo; Ren, Jing
2017
Fixed points of mixed monotone operators for existence and uniqueness of nonlinear fractional differential equations. Zbl 1370.34017
Marasi, H. R.; Afshari, H.; Daneshbastam, M.; Zhai, C. B.
2017
Some existence, uniqueness results on positive solutions for a fractional differential equation with infinite-point boundary conditions. Zbl 1420.34030
Zhai, Chengbo; Wang, Li
2017
On some properties of positive solutions for a third-order three-point boundary value problem with a parameter. Zbl 1444.34044
Zhai, Chengbo; Zhao, Li; Li, Shunyong; Marasi, H. R.
2017
Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions. Zbl 1420.34011
Feng, Haixing; Zhai, Chengbo
2017
Approximating monotone positive solutions of a nonlinear fourth-order boundary value problem via sum operator method. Zbl 1369.34042
Zhai, Chengbo; Jiang, Chunrong; Li, Shunyong
2017
Properties of unique positive solution for a class of nonlocal semilinear elliptic equation. Zbl 1387.35240
Jiang, Ruiting; Zhai, Chengbo
2017
Uniqueness and properties of positive solutions for infinite-point fractional differential equation with $$p$$-Laplacian and a parameter. Zbl 1415.34029
Wang, Li; Zhai, Chengbo
2017
Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method. Zbl 1345.34033
Zhai, Chengbo; Jiang, Chunrong
2016
Properties of positive solutions for the operator equation $$Ax=\lambda x$$ and applications to fractional differential equations with integral boundary conditions. Zbl 1422.47059
Zhai, Chengbo; Wang, Fang
2015
New existence and uniqueness results for an elastic beam equation with nonlinear boundary conditions. Zbl 1341.34031
Li, Shunyong; Zhai, Chengbo
2015
Existence and uniqueness of convex monotone positive solutions for boundary value problems of an elastic beam equation with a parameter. Zbl 1349.34090
Zhai, Chengbo; Jiang, Chunrong
2015
Multi-point boundary value problems for a coupled system of nonlinear fractional differential equations. Zbl 1422.34077
Zhai, Chengbo; Hao, Mengru
2015
Existence and uniqueness of positive periodic solutions for a first-order functional differential equation. Zbl 1350.34056
Yang, Chen; Zhai, Chengbo; Hao, Mengru
2015
Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter. Zbl 07175091
Zhai, Chengbo; Xu, Li
2014
Uniqueness of positive solutions for several classes of sum operator equations and applications. Zbl 1370.47056
Yang, Chen; Zhai, Chengbo; Hao, Mengru
2014
Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order. Zbl 1477.34012
Hao, Mengru; Zhai, Chengbo
2014
A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems. Zbl 1261.35151
Zhai, Chengbo; Yan, Weiping; Yang, Chen
2013
Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems. Zbl 1300.34024
Zhai, Chengbo; Hao, Mengru
2013
Fixed point theorems for a class of mixed monotone operators with convexity. Zbl 1428.47021
Zhai, Chengbo
2013
Existence and uniqueness of positive solutions to nonlinear second order impulsive differential equations with concave or convex nonlinearities. Zbl 1417.34043
Zhang, Lingling; Zhai, Chengbo
2013
Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems. Zbl 1253.47037
Zhai, Chengbo; Hao, Mengru
2012
Uniqueness of positive solutions for a fractional differential equation via a fixed point theorem of a sum operator. Zbl 1261.34011
Yang, Chen; Zhai, Chengbo
2012
Optimal control problem of positive solutions to second order impulsive differential equations. Zbl 1238.49052
Zhang, Lingling; Yamazaki, Noriaki; Zhai, Chengbo
2012
New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems. Zbl 1225.47074
Zhai, Chengbo; Zhang, Lingling
2011
A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations. Zbl 1207.47064
Zhai, Chengbo; Anderson, Douglas R.
2011
The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem. Zbl 1231.34036
Zhai, Chengbo; Song, Ruipeng; Han, Qianqian
2011
Positive solutions for nonlinear operator equations and several classes of applications. Zbl 1198.47078
Zhai, Cheng-Bo; Yang, Chen; Zhang, Xiao-Qin
2010
Fixed point theorems for $$\tau -\varphi$$-concave operators and applications. Zbl 1189.65122
Zhai, Cheng-Bo; Cao, Xiao-Min
2010
Positive solutions to semi-positone second-order three-point problems on time scales. Zbl 1188.34119
Anderson, Douglas R.; Zhai, Chengbo
2010
An existence and uniqueness result for the singular Lane-Emden-Fowler equation. Zbl 1180.35256
Guo, Chunmei; Zhai, Chengbo; Song, Ruipeng
2010
Existence and uniqueness results for perturbed Neumann boundary value problems. Zbl 1215.34033
Zhang, Jieming; Zhai, Chengbo
2010
Existence and uniqueness of positive solutions for Neumann problems of second order impulsive differential equations. Zbl 1211.34035
Zhai, Chengbo; Song, Ruipeng
2010
Positive solutions for semi-positone three-point boundary value problems. Zbl 1182.34036
Zhai, Chengbo
2009
Positive solutions for third-order Sturm-Liouville boundary-value problems with $$p$$-Laplacian. Zbl 1186.34035
Zhai, Chengbo; Guo, Chunmei
2009
Positive solutions of operator equations on ordered Banach spaces and applications. Zbl 1165.47308
Zhai, Cheng-Bo; Yang, Chen; Guo, Chun-Mei
2008
Generalizations for a class of concave and convex operators. Zbl 1174.47046
Zhai, Chengbo; Wang, Wenxia; Zhang, Lingling
2008
Fixed point theorems of $$u_0$$-concave operators and applications. Zbl 1199.47230
Zhai, Chengbo; Li, Yongjin
2008
Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument. Zbl 1113.34048
Yang, Chen; Zhai, Chengbo; Yan, Jurang
2006
On $$\alpha$$-convex operators. Zbl 1094.47047
Zhai, Chengbo; Guo, Chunmei
2006
Existence of positive solutions for mixed boundary value of $$p$$-Laplacian equations. Zbl 1130.34308
Zhai, Chengbo
2006
The existence of positive solutions for mixed boundary value problems of $$p$$-Laplace equations. Zbl 1048.34053
Zhai, Chengbo
2003
Computation of rotating wave solutions of reaction-diffusion equations on a circle. Zbl 0866.65062
Auchmuty, G.; Zhai, C.
1996
all top 5

all top 5

### Cited in 107 Serials

 58 Advances in Difference Equations 44 Boundary Value Problems 26 AIMS Mathematics 15 Journal of Function Spaces 12 Nonlinear Analysis. Modelling and Control 11 Journal of Inequalities and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Abstract and Applied Analysis 7 Computers & Mathematics with Applications 7 Discrete Dynamics in Nature and Society 7 Fixed Point Theory and Applications 7 Journal of Applied Analysis and Computation 6 Journal of Mathematical Analysis and Applications 6 Filomat 6 Journal of Applied Mathematics and Computing 6 Mediterranean Journal of Mathematics 5 Topological Methods in Nonlinear Analysis 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Qualitative Theory of Dynamical Systems 4 Journal of Nonlinear Science and Applications 4 Open Mathematics 3 Applicable Analysis 3 Applied Mathematics Letters 3 Journal of Difference Equations and Applications 3 Chaos 3 Thai Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Differential Equations and Applications 3 Advances in Mathematical Physics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Elliptic and Parabolic Equations 2 Chaos, Solitons and Fractals 2 Journal of Optimization Theory and Applications 2 Monatshefte für Mathematik 2 Bulletin of the Iranian Mathematical Society 2 Russian Journal of Mathematical Physics 2 Complexity 2 Differential Equations and Dynamical Systems 2 Journal of Function Spaces and Applications 2 Mathematical Biosciences and Engineering 2 Journal of Applied Mathematics & Informatics 1 Inverse Problems 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Kyungpook Mathematical Journal 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Indagationes Mathematicae. New Series 1 The Journal of Analysis 1 Turkish Journal of Mathematics 1 Fractals 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Advances in Differential Equations 1 Integral Transforms and Special Functions 1 Positivity 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 Fixed Point Theory 1 Cubo 1 Complex Variables and Elliptic Equations 1 Mathematical Modelling of Natural Phenomena 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 International Journal of Differential Equations 1 Applied General Topology 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Functional Analysis, Approximation and Computation 1 Symmetry 1 Analysis and Mathematical Physics 1 Afrika Matematika 1 Journal of Mathematical Extension ...and 7 more Serials
all top 5

### Cited in 27 Fields

 292 Ordinary differential equations (34-XX) 179 Operator theory (47-XX) 84 Real functions (26-XX) 47 Partial differential equations (35-XX) 34 Difference and functional equations (39-XX) 21 Numerical analysis (65-XX) 20 Integral equations (45-XX) 16 General topology (54-XX) 12 Biology and other natural sciences (92-XX) 10 Mechanics of deformable solids (74-XX) 8 Special functions (33-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)