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## Tineo, Antonio R.

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 Author ID: tineo.antonio-r Published as: Tineo, A.; Tineo, Antonio; Tineo, Antonio R.
 Documents Indexed: 86 Publications since 1975, including 11 Books
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#### Co-Authors

 50 single-authored 7 Bravo, José Luis 6 Ahmad, Shair 6 Fernandez, Manuel Jose 6 Ortega, Rafael 4 Granados, Bertha 4 Manasevich, Raul F. 4 Rivero, Jesus M. 3 Gámez, Manuel 2 Alvarez, Carlos A. 2 Lazer, Alan C. 2 Rada, Juan 1 Campos, Juan 1 López-Gómez, Julián 1 Quijada, Oscar 1 Rodriguez, Armando A.
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#### Serials

 26 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Real World Applications 5 Journal of Differential Equations 4 Nonlinear Studies 4 Nonlinear Analysis. Theory, Methods & Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Radovi Matematički 2 Applicable Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear World 2 Advanced Nonlinear Studies 1 Applied Mathematics and Computation 1 Commentationes Mathematicae Universitatis Carolinae 1 Proceedings of the American Mathematical Society 1 Extracta Mathematicae 1 Differential and Integral Equations 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 Advances in Differential Equations 1 Communications on Pure and Applied Analysis
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#### Fields

 71 Ordinary differential equations (34-XX) 28 Biology and other natural sciences (92-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 493 times in 358 Documents Cited by Year
An iterative scheme for the $$N$$-competing species problem. Zbl 0823.34048
Tineo, Antonio
1995
A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem. Zbl 0729.92025
Tineo, Antonio; Alvarez, Carlos
1991
On the asymptotic behavior of some population models. Zbl 0778.92018
Tineo, Antonio
1992
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
1996
Asymptotic behavior of solutions of a periodic reaction-diffusion system of a competitor-competitor-mutualist model. Zbl 0806.35095
Tineo, Antonio
1994
Upper and lower bounds for the energy of bipartite graphs. Zbl 1034.05034
2004
Necessary and sufficient conditions for extinction of one species. Zbl 1091.34028
Tineo, Antonio
2005
Asymptotic behaviour of positive solutions of the nonautonomous Lotka- Volterra competition equations. Zbl 0774.34037
Tineo, Antonio
1993
Existence of global coexistence state for periodic competition diffusion systems. Zbl 0779.35058
Tineo, Antonio
1992
On the asymptotic behavior of some population models. II. Zbl 0872.34027
Tineo, Antonio
1996
Existence theorems for a singular two-point Dirichlet problem. Zbl 0900.34019
Tineo, Antonio
1992
Polygonal chains with minimal energy. Zbl 1023.05094
2003
Existence theorems for the Dirichlet problem without growth restrictions. Zbl 0674.34016
Rodriguez, Armando; Tineo, Antonio
1988
Permanence and asymptotic stability for competitive and Lotka-Volterra systems with diffusion. Zbl 1088.35028
Tineo, Antonio; Rivero, Jesús
2003
Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. Zbl 0886.34025
Campos, Juan; Ortega, Rafael; Tineo, Antonio
1997
On the convexity of the carrying simplex of planar Lotka-Volterra competitive systems. Zbl 1036.34057
Tineo, Antonio
2001
An exclusion principle for periodic competitive systems in three dimensions. Zbl 0901.34049
Ortega, Rafael; Tineo, Antonio
1998
Resonance and non-resonance in a problem of boundedness. Zbl 0858.34018
Ortega, Rafael; Tineo, Antonio
1996
Iterative schemes for some population models. Zbl 0901.34050
Tineo, Antonio
1996
On the number of positive periodic solutions for planar competing Lotka-Volterra systems. Zbl 0903.34037
Ortega, Rafael; Tineo, Antonio
1995
Existence of a polycycle in non-Lipschitz Gause-type predator-prey models. Zbl 1216.34038
Bravo, José Luis; Fernández, Manuel; Gámez, Manuel; Granados, Bertha; Tineo, Antonio
2011
May Leonard systems. Zbl 1154.34357
Tineo, Antonio
2008
On a class of singular boundary value problems which contains the boundary conditions $$x'(0)=x(1)=0$$. Zbl 0810.34019
Tineo, Antonio
1994
Existence of solutions for a class of boundary value problems for the equation $$x''=F(t,x,x',x'')$$. Zbl 0667.34026
Tineo, Antonio
1988
Permanence of a large class of periodic predator-prey systems. Zbl 0961.34022
Tineo, Antonio
2000
Traveling waves for a system of equations. Zbl 1153.34325
Ahmad, Shair; Lazer, Alan C.; Tineo, Antonio
2008
Existence of global attractors for a class of periodic Kolmogorov systems. Zbl 1014.37049
Tineo, Antonio
2003
Existence of coexistence states: A generic property for cyclic 3-dimensional competitive systems. Zbl 0985.34032
Tineo, Antonio
2001
A result of Ambrosetti-Prodi type for first-order ODEs with cubic nonlinearities. II. Zbl 1223.34051
Tineo, Antonio
2003
The number of bifurcation points of a periodic ordinary differential equation with cubic nonlinearities. Zbl 1003.34033
Bravo, José L.; Tineo, Antonio
2001
Existence of two periodic solutions for the periodic equation $$\ddot x=g(t,x)$$. Zbl 0734.34034
Tineo, Antonio
1991
The number of bifurcation points of a periodic one-parameter ODE with at most two periodic solutions. Zbl 1082.34034
Bravo, José L.; Fernández, Manuel; Tineo, Antonio
2004
First-order ordinary differential equations with several bounded separate solutions. Zbl 0914.34033
Tineo, Antonio
1998
A comparison theorem for second order ODEs and applications to singular problems. Zbl 0821.34021
Tineo, Antonio
1995
Asymptotically stable solutions of Lotka-Volterra equations. Zbl 0662.34052
Alvarez, Carlos; Tineo, Antonio
1988
On tridiagonal predator-prey systems and a conjecture. Zbl 1200.34059
2010
Three-dimensional population systems. Zbl 1154.34356
2008
Asymptotic behavior of an invading species. Zbl 1202.34089
Tineo, Antonio
2008
A result of Ambrosetti-Prodi type for first-order ODEs with cubic nonlinearities. I. Zbl 1223.34050
Tineo, Antonio
2003
Persistence of a class of periodic Kolmogorov systems. Zbl 0955.92038
Tineo, Antonio
2000
Oscillatory and nonoscillatory results for first order neutral differential equations. Zbl 0798.34078
1993
Globally stable Kolmogorov systems. Zbl 1016.34054
Tineo, Antonio; Gámez, Manuel
2002
The closed graph theorem for nonlinear maps. Zbl 0929.47032
Tineo, Antonio
1999
Cooperative systems and time-varying discrete diffusion for single species. Zbl 0921.34049
Tineo, Antonio; Rivero, Jesus
1998
Asymptotic classification of the positive solutions of the nonautonomous two-competing species problem. Zbl 0994.34037
Tineo, Antonio
1997
Almost periodic solutions of second order systems. Zbl 0883.34051
1996
Existence theorems for a class of singular two-point B.V.P. of second order differential equations. Zbl 0761.34021
Tineo, Antonio
1992
Two point boundary value problems for the equation $$({\Psi{}}(T,X'))'=F(T,X,X')$$. Zbl 0755.34019
Tineo, Antonio
1992
The Sturm-Liouville problem for the equation $$X''=P(T,X)Q(X')$$. Zbl 0705.34021
Tineo, Antonio
1990
Global inversion. Zbl 0482.54006
Tineo, Antonio
1980
Existence of a polycycle in non-Lipschitz Gause-type predator-prey models. Zbl 1216.34038
Bravo, José Luis; Fernández, Manuel; Gámez, Manuel; Granados, Bertha; Tineo, Antonio
2011
On tridiagonal predator-prey systems and a conjecture. Zbl 1200.34059
2010
May Leonard systems. Zbl 1154.34357
Tineo, Antonio
2008
Traveling waves for a system of equations. Zbl 1153.34325
Ahmad, Shair; Lazer, Alan C.; Tineo, Antonio
2008
Three-dimensional population systems. Zbl 1154.34356
2008
Asymptotic behavior of an invading species. Zbl 1202.34089
Tineo, Antonio
2008
Necessary and sufficient conditions for extinction of one species. Zbl 1091.34028
Tineo, Antonio
2005
Upper and lower bounds for the energy of bipartite graphs. Zbl 1034.05034
2004
The number of bifurcation points of a periodic one-parameter ODE with at most two periodic solutions. Zbl 1082.34034
Bravo, José L.; Fernández, Manuel; Tineo, Antonio
2004
Polygonal chains with minimal energy. Zbl 1023.05094
2003
Permanence and asymptotic stability for competitive and Lotka-Volterra systems with diffusion. Zbl 1088.35028
Tineo, Antonio; Rivero, Jesús
2003
Existence of global attractors for a class of periodic Kolmogorov systems. Zbl 1014.37049
Tineo, Antonio
2003
A result of Ambrosetti-Prodi type for first-order ODEs with cubic nonlinearities. II. Zbl 1223.34051
Tineo, Antonio
2003
A result of Ambrosetti-Prodi type for first-order ODEs with cubic nonlinearities. I. Zbl 1223.34050
Tineo, Antonio
2003
Globally stable Kolmogorov systems. Zbl 1016.34054
Tineo, Antonio; Gámez, Manuel
2002
On the convexity of the carrying simplex of planar Lotka-Volterra competitive systems. Zbl 1036.34057
Tineo, Antonio
2001
Existence of coexistence states: A generic property for cyclic 3-dimensional competitive systems. Zbl 0985.34032
Tineo, Antonio
2001
The number of bifurcation points of a periodic ordinary differential equation with cubic nonlinearities. Zbl 1003.34033
Bravo, José L.; Tineo, Antonio
2001
Permanence of a large class of periodic predator-prey systems. Zbl 0961.34022
Tineo, Antonio
2000
Persistence of a class of periodic Kolmogorov systems. Zbl 0955.92038
Tineo, Antonio
2000
The closed graph theorem for nonlinear maps. Zbl 0929.47032
Tineo, Antonio
1999
An exclusion principle for periodic competitive systems in three dimensions. Zbl 0901.34049
Ortega, Rafael; Tineo, Antonio
1998
First-order ordinary differential equations with several bounded separate solutions. Zbl 0914.34033
Tineo, Antonio
1998
Cooperative systems and time-varying discrete diffusion for single species. Zbl 0921.34049
Tineo, Antonio; Rivero, Jesus
1998
Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems. Zbl 0886.34025
Campos, Juan; Ortega, Rafael; Tineo, Antonio
1997
Asymptotic classification of the positive solutions of the nonautonomous two-competing species problem. Zbl 0994.34037
Tineo, Antonio
1997
The periodic predator-prey Lotka-Volterra model. Zbl 0849.34026
López-Gómez, Julián; Ortega, Rafael; Tineo, Antonio
1996
On the asymptotic behavior of some population models. II. Zbl 0872.34027
Tineo, Antonio
1996
Resonance and non-resonance in a problem of boundedness. Zbl 0858.34018
Ortega, Rafael; Tineo, Antonio
1996
Iterative schemes for some population models. Zbl 0901.34050
Tineo, Antonio
1996
Almost periodic solutions of second order systems. Zbl 0883.34051
1996
An iterative scheme for the $$N$$-competing species problem. Zbl 0823.34048
Tineo, Antonio
1995
On the number of positive periodic solutions for planar competing Lotka-Volterra systems. Zbl 0903.34037
Ortega, Rafael; Tineo, Antonio
1995
A comparison theorem for second order ODEs and applications to singular problems. Zbl 0821.34021
Tineo, Antonio
1995
Asymptotic behavior of solutions of a periodic reaction-diffusion system of a competitor-competitor-mutualist model. Zbl 0806.35095
Tineo, Antonio
1994
On a class of singular boundary value problems which contains the boundary conditions $$x'(0)=x(1)=0$$. Zbl 0810.34019
Tineo, Antonio
1994
Asymptotic behaviour of positive solutions of the nonautonomous Lotka- Volterra competition equations. Zbl 0774.34037
Tineo, Antonio
1993
Oscillatory and nonoscillatory results for first order neutral differential equations. Zbl 0798.34078
1993
On the asymptotic behavior of some population models. Zbl 0778.92018
Tineo, Antonio
1992
Existence of global coexistence state for periodic competition diffusion systems. Zbl 0779.35058
Tineo, Antonio
1992
Existence theorems for a singular two-point Dirichlet problem. Zbl 0900.34019
Tineo, Antonio
1992
Existence theorems for a class of singular two-point B.V.P. of second order differential equations. Zbl 0761.34021
Tineo, Antonio
1992
Two point boundary value problems for the equation $$({\Psi{}}(T,X'))'=F(T,X,X')$$. Zbl 0755.34019
Tineo, Antonio
1992
A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem. Zbl 0729.92025
Tineo, Antonio; Alvarez, Carlos
1991
Existence of two periodic solutions for the periodic equation $$\ddot x=g(t,x)$$. Zbl 0734.34034
Tineo, Antonio
1991
The Sturm-Liouville problem for the equation $$X''=P(T,X)Q(X')$$. Zbl 0705.34021
Tineo, Antonio
1990
Existence theorems for the Dirichlet problem without growth restrictions. Zbl 0674.34016
Rodriguez, Armando; Tineo, Antonio
1988
Existence of solutions for a class of boundary value problems for the equation $$x''=F(t,x,x',x'')$$. Zbl 0667.34026
Tineo, Antonio
1988
Asymptotically stable solutions of Lotka-Volterra equations. Zbl 0662.34052
Alvarez, Carlos; Tineo, Antonio
1988
Global inversion. Zbl 0482.54006
Tineo, Antonio
1980
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#### Cited by 399 Authors

 25 Tineo, Antonio R. 19 Chen, Fengde 18 Teng, Zhi-dong 13 Chen, Lansun 11 Ahmad, Shair 11 Xia, Yonghui 10 O’Regan, Donal 9 Agarwal, Ravi P. 8 Jiang, Jifa 7 Baigent, Stephen A. 7 Cui, Jingan 7 Hou, Zhanyuan 7 Pao, Chia-Ven 7 Staněk, Svatoslav 6 Li, Zhong 6 Liu, Shengqiang 6 Rachůnková, Irena 6 Zhao, Jiandong 5 Cao, Jinde 5 Fu, Shengmao 5 Gutman, Ivan M. 5 Lazer, Alan C. 5 Muroya, Yoshiaki 5 Ortega, Rafael 5 Yin, Jingxue 5 Zhang, Jianbin 5 Zhou, Bo 4 Bravo, José Luis 4 Fernandez, Manuel Jose 4 Jiang, Daqing 4 Kelevedjiev, Petio S. 4 Li, Xueliang 4 Lisena, Benedetta 4 López-Gómez, Julián 4 Mierczyński, Janusz 4 Ruiz-Herrera, Alfonso 4 Wang, Yi 4 Wang, Yifu 4 Yan, Jurang 3 Ching, Atheeta 3 Fan, Meng 3 Gao, Shujing 3 Jia, Yunfeng 3 Lin, Zhigui 3 Ma, Ruyun 3 Montes de Oca, Francisco 3 Niu, Lei 3 Shi, Jinlin 3 Stamov, Gani Trendafilov 3 Stamova, Ivanka Milkova 3 Sun, Jiebao 3 Takeuchi, Yasuhiro 3 Wang, Ke 3 Wong, Fu-Hsiang 3 Wu, Jianhua 3 Yu, Yuan-hong 3 Zanolin, Fabio 3 Zhang, Long 2 Andres, Jan 2 Bai, Dingyong 2 Barge Yáñez, Héctor 2 Campos, Juan 2 Cui, Shangbin 2 Fan, Yonghong 2 Gámez, Manuel 2 Ge, Weigao 2 González-Olivares, Eduardo 2 Granados, Bertha 2 Hu, Hongxiao 2 Kokocki, Piotr 2 Li, Jinxian 2 Li, Wan-Tong 2 Li, Xuezhi 2 Lin, Guo 2 Liu, Gui Rong 2 Liu, Zhaoli 2 Lu, Hongying 2 Luo, Guilie 2 Miyazaki, Rinko 2 Muñoz-Hernández, Eduardo 2 Negreanu, Mihaela 2 Nie, Hua 2 Nie, Linfei 2 Nikiforov, Vladimir S. 2 Norbury, John W. 2 Obaya, Rafael 2 Pennequin, Denis 2 Rojas-Palma, Alejandro 2 Saito, Yasuhisa 2 Sanjurjo, José M. R. 2 Šenkyřík, Martin 2 Shen, Jianhua 2 Shparlinski, Igor E. 2 Tanaka, Satoshi 2 van Vuuren, Jan Harm 2 Wang, Weibing 2 Wang, Wendi 2 Wong, Dein 2 Wu, Boying 2 Xu, Yong ...and 299 more Authors
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#### Cited in 82 Serials

 62 Journal of Mathematical Analysis and Applications 34 Nonlinear Analysis. Real World Applications 24 Applied Mathematics and Computation 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Linear Algebra and its Applications 14 Journal of Differential Equations 13 Nonlinear Analysis. Theory, Methods & Applications 11 Computers & Mathematics with Applications 9 Applied Mathematics Letters 8 Journal of Computational and Applied Mathematics 7 Applicable Analysis 6 Journal of Difference Equations and Applications 6 Discrete Dynamics in Nature and Society 5 Mathematical and Computer Modelling 5 Journal of Mathematical Chemistry 5 Abstract and Applied Analysis 5 Advances in Difference Equations 4 Chaos, Solitons and Fractals 4 Proceedings of the American Mathematical Society 4 Discrete and Continuous Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Biomathematics 3 Linear and Multilinear Algebra 3 Mathematica Slovaca 3 Acta Mathematicae Applicatae Sinica. English Series 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Applied Mathematics. Series B (English Edition) 3 Discrete and Continuous Dynamical Systems. Series B 3 Boundary Value Problems 3 Journal of Biological Dynamics 2 Nonlinearity 2 Czechoslovak Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Nonlinear Dynamics 2 Acta Mathematica Sinica. English Series 2 Qualitative Theory of Dynamical Systems 2 Advanced Nonlinear Studies 2 Journal of Applied Mathematics and Computing 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Mathematical Notes 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 Journal of Dynamical and Control Systems 1 Methodology and Computing in Applied Probability 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Dynamical Systems 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Advances in Complex Systems 1 Stochastics and Dynamics 1 Communications on Pure and Applied Analysis 1 Journal of Fixed Point Theory and Applications 1 Applicable Analysis and Discrete Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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#### Cited in 27 Fields

 236 Ordinary differential equations (34-XX) 201 Biology and other natural sciences (92-XX) 57 Partial differential equations (35-XX) 55 Dynamical systems and ergodic theory (37-XX) 34 Combinatorics (05-XX) 17 Difference and functional equations (39-XX) 12 Operator theory (47-XX) 8 Systems theory; control (93-XX) 7 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)