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Author ID: gaines.robert-e Recent zbMATH articles by "Gaines, Robert E."
Published as: Gaines, R. E.; Gaines, Robert E.; Gaines, Robert; Gaines, R.
Documents Indexed: 26 Publications since 1968, including 2 Books
Co-Authors: 7 Co-Authors with 10 Joint Publications
239 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 1,329 times in 1,261 Documents Cited by Year
Coincidence degree, and nonlinear differential equations. Zbl 0339.47031
Gaines, Robert E.; Mawhin, Jean L.
721
1977
Ordinary differential equations with nonlinear boundary conditions. Zbl 0326.34021
Gaines, R. E.; Mawhin, J.
381
1977
Ordinary differential equations with nonlinear boundary conditions. Zbl 0326.34020
Gaines, R. E.; Mawhin, J.
49
1975
Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations. Zbl 0279.65068
Gaines, Robert
36
1974
A coincidence theorem in convex sets with applications to periodic solutions of ordinary differential equations. Zbl 0508.34030
Gaines, R. E.; Jairo Santanilla, M.
24
1982
Dependence on boundary data and a generalized boundary-value problem. Zbl 0169.10602
Bebernes, J. W.; Gaines, R.
16
1968
A priori bounds and upper and lower solutions for nonlinear second order boundary value problems. Zbl 0227.34016
Gaines, Robert E.
14
1972
Existence of solutions to Hamiltonian dynamical systems of optimal growth. Zbl 0348.90040
Gaines, R. E.
13
1976
Continuous dependence for two-point boundary value problems. Zbl 0182.11703
Gaines, R.
10
1969
A generalized two-point boundary value problem. Zbl 0162.11602
Bebernes, J. W.; Gaines, R.
9
1968
Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth. Zbl 0363.90030
Gaines, Robert E.
8
1977
Periodic solutions to differential inclusions. Zbl 0475.34023
Gaines, R. E.; Peterson, J. K.
7
1981
A priori bounds for solutions to nonlinear two-point boundary value problems. Zbl 0276.34014
Gaines, Robert E.
6
1973
Existence of periodic solutions to second order nonlinear ordinary differential equations. Zbl 0281.34033
Gaines, Robert E.
6
1974
Existence of periodic solutions for third and fourth order ordinary differential equations via coincidence degree. Zbl 0286.34056
Bebernes, J.; Gaines, R.; Schmitt, K.
6
1974
The existence of optimal consumption policies in optimal economic growth models with nonconvex technologies. Zbl 0582.90018
Gaines, R. E.; Peterson, J. K.
5
1985
Periodic solutions to nonlinear parabolic differential equations. Zbl 0366.35006
Gaines, Robert; Walter, Wolfgang
5
1977
Degree theoretic methods in optimal control. Zbl 0525.49001
Gaines, R. E.; Peterson, J. K.
3
1983
Ordinary differential systems of optimal control type with monotone reversed nonlinearities. Zbl 0387.34003
Gaines, R. E.; Gupta, Chaitan P.
3
1978
Differentiability with respect to boundary values for nonlinear ordinary differential equations. Zbl 0226.34011
Gaines, Robert
2
1971
Existence of solutions of Hamiltonian dynamical systems of economic growth with Marxian savings hypothesis. Zbl 0446.90014
Gaines, Robert E.
2
1980
Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations. Zbl 0253.65052
Gaines, Robert
1
1973
Existence of periodic solutions to second order nonlinear ordinary differential equations. Zbl 0264.34044
Gaines, Robert E.
1
1974
Degree theoretic methods in optimal control. Zbl 0497.49005
Gaines, R. E.; Peterson, J. K.
1
1982
The existence of optimal consumption policies in optimal economic growth models with nonconvex technologies. Zbl 0582.90018
Gaines, R. E.; Peterson, J. K.
5
1985
Degree theoretic methods in optimal control. Zbl 0525.49001
Gaines, R. E.; Peterson, J. K.
3
1983
A coincidence theorem in convex sets with applications to periodic solutions of ordinary differential equations. Zbl 0508.34030
Gaines, R. E.; Jairo Santanilla, M.
24
1982
Degree theoretic methods in optimal control. Zbl 0497.49005
Gaines, R. E.; Peterson, J. K.
1
1982
Periodic solutions to differential inclusions. Zbl 0475.34023
Gaines, R. E.; Peterson, J. K.
7
1981
Existence of solutions of Hamiltonian dynamical systems of economic growth with Marxian savings hypothesis. Zbl 0446.90014
Gaines, Robert E.
2
1980
Ordinary differential systems of optimal control type with monotone reversed nonlinearities. Zbl 0387.34003
Gaines, R. E.; Gupta, Chaitan P.
3
1978
Coincidence degree, and nonlinear differential equations. Zbl 0339.47031
Gaines, Robert E.; Mawhin, Jean L.
721
1977
Ordinary differential equations with nonlinear boundary conditions. Zbl 0326.34021
Gaines, R. E.; Mawhin, J.
381
1977
Existence and the Cass-Shell stability condition for Hamiltonian systems of optimal growth. Zbl 0363.90030
Gaines, Robert E.
8
1977
Periodic solutions to nonlinear parabolic differential equations. Zbl 0366.35006
Gaines, Robert; Walter, Wolfgang
5
1977
Existence of solutions to Hamiltonian dynamical systems of optimal growth. Zbl 0348.90040
Gaines, R. E.
13
1976
Ordinary differential equations with nonlinear boundary conditions. Zbl 0326.34020
Gaines, R. E.; Mawhin, J.
49
1975
Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations. Zbl 0279.65068
Gaines, Robert
36
1974
Existence of periodic solutions to second order nonlinear ordinary differential equations. Zbl 0281.34033
Gaines, Robert E.
6
1974
Existence of periodic solutions for third and fourth order ordinary differential equations via coincidence degree. Zbl 0286.34056
Bebernes, J.; Gaines, R.; Schmitt, K.
6
1974
Existence of periodic solutions to second order nonlinear ordinary differential equations. Zbl 0264.34044
Gaines, Robert E.
1
1974
A priori bounds for solutions to nonlinear two-point boundary value problems. Zbl 0276.34014
Gaines, Robert E.
6
1973
Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations. Zbl 0253.65052
Gaines, Robert
1
1973
A priori bounds and upper and lower solutions for nonlinear second order boundary value problems. Zbl 0227.34016
Gaines, Robert E.
14
1972
Differentiability with respect to boundary values for nonlinear ordinary differential equations. Zbl 0226.34011
Gaines, Robert
2
1971
Continuous dependence for two-point boundary value problems. Zbl 0182.11703
Gaines, R.
10
1969
Dependence on boundary data and a generalized boundary-value problem. Zbl 0169.10602
Bebernes, J. W.; Gaines, R.
16
1968
A generalized two-point boundary value problem. Zbl 0162.11602
Bebernes, J. W.; Gaines, R.
9
1968
all top 5

Cited by 1,208 Authors

58 Lu, Shiping
41 Ge, Weigao
39 Li, Yongkun
31 Zhang, Zhengqiu
30 Huang, Lihong
23 Du, Bo
21 Liu, Bingwen
21 Zanolin, Fabio
20 Chen, Lansun
20 Fan, Meng
18 Cao, Jinde
18 Li, Wan-Tong
18 Xia, Yonghui
17 Cheng, Zhibo
17 Liu, Yuji
16 Rachůnková, Irena
15 Huo, Hai-Feng
15 Mawhin, Jean
14 Tiwari, Pankaj Kumar
13 Chen, Fengde
13 Ding, Xiaoquan
13 Liu, Zhijun
13 Wang, Ke
13 Xu, Rui
12 Dai, Binxiang
12 Ren, Jingli
12 Xin, Yun
11 Wang, Zhi-Cheng
11 Zhao, Kaihong
10 Agarwal, Ravi P.
10 Du, Zengji
10 Gaines, Robert E.
10 Gui, Zhanji
10 Saker, Samir H.
10 Wang, Linlin
9 Andres, Jan
9 Benchohra, Mouffak
9 Chaplain, Mark A. J.
9 Davidson, Fordyce A.
9 Feltrin, Guglielmo
9 Kiguradze, Ivan Tarielovich
9 Moussaoui, Ali
9 Thompson, Harold Bevan
9 Tisdell, Christopher C.
9 Wang, Kai
9 Wang, Qi
8 Kong, Fanchao
8 Krawcewicz, Wieslaw Z.
8 Li, Yong
8 Liu, Gui Rong
8 Nieto Roig, Juan Jose
8 Obukhovskiĭ, Valeriĭ Vladimirovich
8 Shao, Yuanfu
8 Yan, Jurang
8 Yang, Zhihui
7 Bouriah, Soufyane
7 Fan, Yonghong
7 Fang, Hui
7 Fečkan, Michal
7 Huang, Chuangxia
7 Lu, Chun
7 Malaguti, Luisa
7 O’Regan, Donal
7 Pal, Samaresh
7 Papageorgiou, Nikolaos S.
7 Petryshyn, Walter Wolodymyr
7 Teng, Zhi-dong
7 Xu, Changjin
7 Zhang, Tianwei
7 Zhu, Yanling
6 Chen, Shihua
6 Erbe, Lynn Harry
6 Gao, Shang
6 Gupta, Chaitan P.
6 Kang, Yun
6 Luo, Zhenguo
6 Muhammadhaji, Ahmadjan
6 Shi, Jinlin
6 Wang, Genqiang
6 Yang, Zhilin
6 Zhou, Tiejun
5 Alzabut, Jehad O.
5 Amster, Pablo
5 Baxley, John V.
5 Chen, Anping
5 Chen, Yuming
5 Cheung, Wingsum
5 Ding, Xiaohua
5 Foukrach, Djamal
5 Gao, Fabao
5 Gholami, Yousef
5 Jana, Debaldev
5 Jiang, Daqing
5 Jiang, Jifa
5 Lin, Xiaojie
5 Nguyen Van Loi
5 Peng, Shiguo
5 Santanilla, Jairo
5 Shao, Jianying
5 Tian, Desheng
...and 1,108 more Authors
all top 5

Cited in 184 Serials

108 Journal of Mathematical Analysis and Applications
92 Applied Mathematics and Computation
89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
73 Nonlinear Analysis. Real World Applications
53 Nonlinear Analysis. Theory, Methods & Applications
50 Advances in Difference Equations
45 Journal of Differential Equations
41 Computers & Mathematics with Applications
31 Chaos, Solitons and Fractals
31 Boundary Value Problems
25 Journal of Computational and Applied Mathematics
25 Applied Mathematics Letters
23 Mathematical and Computer Modelling
23 Abstract and Applied Analysis
19 Applied Mathematical Modelling
19 Journal of Applied Mathematics and Computing
17 Discrete Dynamics in Nature and Society
16 Applied Mathematics. Series B (English Edition)
15 Proceedings of the American Mathematical Society
14 Physics Letters. A
14 Acta Mathematicae Applicatae Sinica. English Series
13 International Journal of Biomathematics
11 Rocky Mountain Journal of Mathematics
11 Journal of Difference Equations and Applications
11 Qualitative Theory of Dynamical Systems
10 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
9 Acta Mathematica Sinica. English Series
9 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Biological Systems
8 Journal of the Franklin Institute
8 AIMS Mathematics
7 Mathematical Methods in the Applied Sciences
7 Mathematica Slovaca
7 Journal of Applied Analysis and Computation
6 Applicable Analysis
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Economic Theory
6 Results in Mathematics
6 Neural Networks
6 Topological Methods in Nonlinear Analysis
6 Journal of Fixed Point Theory and Applications
5 Archiv der Mathematik
5 Journal of Soviet Mathematics
5 Transactions of the American Mathematical Society
5 Zeitschrift für Analysis und ihre Anwendungen
5 Applied Mathematics and Mechanics. (English Edition)
5 Acta Applicandae Mathematicae
5 Differential Equations and Dynamical Systems
5 Nonlinear Dynamics
5 Journal of Inequalities and Applications
5 Journal of Applied Mathematics
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematics and Computers in Simulation
4 Mathematische Nachrichten
4 Applications of Mathematics
4 NoDEA. Nonlinear Differential Equations and Applications
4 Differential Equations
4 Mathematical Biosciences and Engineering
4 Journal of Function Spaces
3 International Journal of Systems Science
3 Physica A
3 Monatshefte für Mathematik
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Bulletin des Sciences Mathématiques
3 Discrete and Continuous Dynamical Systems
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications on Pure and Applied Analysis
3 Mediterranean Journal of Mathematics
3 Journal of Biological Dynamics
3 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
3 International Journal of Differential Equations
3 Afrika Matematika
2 International Journal of Control
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Biology
2 Mathematical Biosciences
2 Mathematical Notes
2 Ukrainian Mathematical Journal
2 Journal of Mathematical Economics
2 Quarterly of Applied Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Tôhoku Mathematical Journal. Second Series
2 Physica D
2 Science in China. Series A
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Filomat
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Communications in Contemporary Mathematics
2 The ANZIAM Journal
2 Differentsial’nye Uravneniya i Protsessy Upravleniya
2 Journal of Systems Science and Complexity
2 Portugaliae Mathematica. Nova Série
2 Advanced Nonlinear Studies
2 Advances in Complex Systems
2 Analysis and Applications (Singapore)
...and 84 more Serials

Citations by Year