Compute Distance To:
 Documents Indexed: 66 Publications since 1979, including 2 Books 3 Contributions as Editor Reviewing Activity: 216 Reviews Co-Authors: 12 Co-Authors with 54 Joint Publications 261 Co-Co-Authors
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### Co-Authors

 11 single-authored 15 Villegas, Salvador 9 Gámez Ruiz, José Luis 7 Ruiz, David 5 Drábek, Pavel 5 Martinez-Amores, Pedro 5 Zertiti, Abderrahim 3 Arcoya, David 3 Fonda, Alessandro 3 Ureña, Antonio J. 2 Ortega, Rafael 1 Magal, Pierre 1 Montero-Sánchez, Juan-Aurelio
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### Serials

 7 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Mathematical Analysis and Applications 3 Discrete and Continuous Dynamical Systems 3 Handbook of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Extracta Mathematicae 2 Differential and Integral Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid 1 SIAM Journal on Mathematical Analysis 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Differential Equations and Dynamical Systems 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 La Gaceta de la Real Sociedad Matemática Española 1 Mediterranean Journal of Mathematics 1 Journal of Mathematical Inequalities 1 S$$\vec{\text{e}}$$MA Journal 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA 1 SpringerBriefs in Mathematics
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### Fields

 41 Ordinary differential equations (34-XX) 25 Partial differential equations (35-XX) 13 Operator theory (47-XX) 12 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 1 Real functions (26-XX)

### Citations contained in zbMATH Open

51 Publications have been cited 326 times in 214 Documents Cited by Year
Existence of positive solutions for some problems with nonlinear diffusion. Zbl 0884.35039
Cañada, A.; Drábek, P.; Gámez, J. L.
1997
Lyapunov inequalities for partial differential equations. Zbl 1254.35069
Cañada, A.; Montero, J. A.; Villegas, S.
2006
Lyapunov-type inequalities and Neumann boundary value problems at resonance. Zbl 1085.34014
Cañada, A.; Montero, J. A.; Villegas, S.
2005
On semilinear problems with nonlinearities depending only on derivatives. Zbl 0852.34018
1996
Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Zbl 0982.49005
Cañada, A.; Magal, P.; Montero, J. A.
2001
Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic type. Zbl 0916.49003
Cañada, A.; Gámez, J. L.; Montero, J. A.
1998
Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues. Zbl 1201.34024
2010
Critical point theorems and applications to nonlinear boundary value problems. Zbl 0706.34019
1990
Existence and multiplicity of solutions of some conservative pendulum-type equations with homogeneous Dirichlet conditions. Zbl 0938.34013
1997
A variational approach to Lyapunov type inequalities. From ODEs to PDEs. Zbl 1360.34001
2015
Elliptic systems with nonlinear diffusion in population dynamics. Zbl 0870.35037
1995
Handbook of differential equations: Ordinary differential equations. Vol. III. Zbl 1107.34002
2006
Periodic solutions of nonlinear vector ordinary differential equations of higher order at resonance. Zbl 0516.34041
1983
Solvability of some operator equations and periodic solutions of nonlinear functional differential equations. Zbl 0476.34061
1983
Optimal Lyapunov inequalities for disfocality and Neuman boundary conditions using $$L^p$$ norms. Zbl 1162.34011
2008
Existence theorems for equations in normed spaces and boundary value problems for nonlinear vector ordinary differential equations. Zbl 0558.47046
1984
K-set contractions and nonlinear vector boundary value problems. Zbl 0604.34012
1986
Lyapunov-type inequalities and applications to PDE. Zbl 1095.34010
Cañada, A.; Montero, J. A.; Villegas, S.
2005
Systems of nonlinear delay integral equations modelling population growth in a periodic environment. Zbl 0816.45002
1994
Method of upper and lower solutions for nonlinear delay integral equations modelling epidemics and population growth. Zbl 0817.92013
1994
Multiplicity results near the principal eigenvalue for boundary-value problems with periodic nonlinearity. Zbl 1121.34025
2007
Nonlinear boundary value problems for elliptic systems. Zbl 0643.35038
1987
A note on the existence of global minimum for a noncoercive functional. Zbl 0794.34021
1993
Some new applications of the method of lower and upper solutions to elliptic problems. Zbl 0791.35049
1993
Lyapunov inequalities for partial differential equations at radial higher eigenvalues. Zbl 1262.35007
2013
Nonselfadjoint semilinear elliptic boundary value problems. Zbl 0674.35031
1987
Handbook of differential equations: Ordinary differential equations. Vol. I. Zbl 1067.34001
2004
Qualitative properties of some noncoercive functionals arising from nonlinear boundary value problems. Zbl 0929.34021
1999
Nonlinear ordinary boundary value problems under a combined effect of periodic and attractive nonlinearities. Zbl 0952.34013
2000
Solvability of some pendulum-type equations with linear damping and homogeneous Dirichlet conditions. Zbl 1019.34016
2002
The dual variational principle and discontinuous elliptic problems with strong resonance at infinity. Zbl 0758.35033
1990
Handbook of differential equations: Ordinary differential equations. Vol. II. Zbl 1074.34003
2005
Lyapunov-type inequalities for differential equations. Zbl 1115.34015
2006
Positive solutions of nonlinear elliptic systems. Zbl 0797.35044
1993
Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues. Zbl 1222.34017
2011
Asymptotic analysis of oscillating parametric integrals and ordinary boundary value problems at resonance. Zbl 1086.34016
2006
Periodic perturbations of a class of resonant problems. Zbl 1092.34009
2005
Optimal Lyapunov inequalities for boundary value problems. Zbl 1216.34017
2009
An optimal control problem for a nonlinear elliptic equation arising from population dynamics. Zbl 0828.49006
Cañada, A.; Gámez, J. L.; Montero, J. A.
1995
Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations. Zbl 1365.34042
2015
Method of upper and lower solutions for nonlinear integral equations and an application to an infectious disease model. Zbl 0638.45002
1987
K-contractions and periodic solutions to nonlinear ordinary differential equations by resonance. Zbl 0606.34028
1985
Periodic solutions of neutral functional differential equations. Zbl 0525.34052
1983
Asymptotic behaviour of the solvability set for pendulum-type equations with linear damping and homogeneous Dirichlet conditions. Zbl 0970.34011
2001
Lagrange multiplier method and nonlinear elliptic boundary value problems with periodic nonlinearity. Zbl 0922.35054
1998
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth. (Research announcement). Zbl 1032.45500
1993
Resonant problems with multidimensional kernel and periodic nonlinearities. Zbl 1056.34020
2003
Resonant nonlinear boundary value problems with almost periodic nonlinearity. Zbl 1046.34035
2002
Stability, resonance and Lyapunov inequalities for periodic conservative systems. Zbl 1229.34010
2011
Some remarks about the existence of positive solutions for elliptic systems. Zbl 0844.35030
1996
Topological methods in the study of positive solutions for some nonlinear delay integral equations. Zbl 0814.45003
1994
A variational approach to Lyapunov type inequalities. From ODEs to PDEs. Zbl 1360.34001
2015
Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations. Zbl 1365.34042
2015
Lyapunov inequalities for partial differential equations at radial higher eigenvalues. Zbl 1262.35007
2013
Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues. Zbl 1222.34017
2011
Stability, resonance and Lyapunov inequalities for periodic conservative systems. Zbl 1229.34010
2011
Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues. Zbl 1201.34024
2010
Optimal Lyapunov inequalities for boundary value problems. Zbl 1216.34017
2009
Optimal Lyapunov inequalities for disfocality and Neuman boundary conditions using $$L^p$$ norms. Zbl 1162.34011
2008
Multiplicity results near the principal eigenvalue for boundary-value problems with periodic nonlinearity. Zbl 1121.34025
2007
Lyapunov inequalities for partial differential equations. Zbl 1254.35069
Cañada, A.; Montero, J. A.; Villegas, S.
2006
Handbook of differential equations: Ordinary differential equations. Vol. III. Zbl 1107.34002
2006
Lyapunov-type inequalities for differential equations. Zbl 1115.34015
2006
Asymptotic analysis of oscillating parametric integrals and ordinary boundary value problems at resonance. Zbl 1086.34016
2006
Lyapunov-type inequalities and Neumann boundary value problems at resonance. Zbl 1085.34014
Cañada, A.; Montero, J. A.; Villegas, S.
2005
Lyapunov-type inequalities and applications to PDE. Zbl 1095.34010
Cañada, A.; Montero, J. A.; Villegas, S.
2005
Handbook of differential equations: Ordinary differential equations. Vol. II. Zbl 1074.34003
2005
Periodic perturbations of a class of resonant problems. Zbl 1092.34009
2005
Handbook of differential equations: Ordinary differential equations. Vol. I. Zbl 1067.34001
2004
Resonant problems with multidimensional kernel and periodic nonlinearities. Zbl 1056.34020
2003
Solvability of some pendulum-type equations with linear damping and homogeneous Dirichlet conditions. Zbl 1019.34016
2002
Resonant nonlinear boundary value problems with almost periodic nonlinearity. Zbl 1046.34035
2002
Optimal control of harvesting in a nonlinear elliptic system arising from population dynamics. Zbl 0982.49005
Cañada, A.; Magal, P.; Montero, J. A.
2001
Asymptotic behaviour of the solvability set for pendulum-type equations with linear damping and homogeneous Dirichlet conditions. Zbl 0970.34011
2001
Nonlinear ordinary boundary value problems under a combined effect of periodic and attractive nonlinearities. Zbl 0952.34013
2000
Qualitative properties of some noncoercive functionals arising from nonlinear boundary value problems. Zbl 0929.34021
1999
Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic type. Zbl 0916.49003
Cañada, A.; Gámez, J. L.; Montero, J. A.
1998
Lagrange multiplier method and nonlinear elliptic boundary value problems with periodic nonlinearity. Zbl 0922.35054
1998
Existence of positive solutions for some problems with nonlinear diffusion. Zbl 0884.35039
Cañada, A.; Drábek, P.; Gámez, J. L.
1997
Existence and multiplicity of solutions of some conservative pendulum-type equations with homogeneous Dirichlet conditions. Zbl 0938.34013
1997
On semilinear problems with nonlinearities depending only on derivatives. Zbl 0852.34018
1996
Some remarks about the existence of positive solutions for elliptic systems. Zbl 0844.35030
1996
Elliptic systems with nonlinear diffusion in population dynamics. Zbl 0870.35037
1995
An optimal control problem for a nonlinear elliptic equation arising from population dynamics. Zbl 0828.49006
Cañada, A.; Gámez, J. L.; Montero, J. A.
1995
Systems of nonlinear delay integral equations modelling population growth in a periodic environment. Zbl 0816.45002
1994
Method of upper and lower solutions for nonlinear delay integral equations modelling epidemics and population growth. Zbl 0817.92013
1994
Topological methods in the study of positive solutions for some nonlinear delay integral equations. Zbl 0814.45003
1994
A note on the existence of global minimum for a noncoercive functional. Zbl 0794.34021
1993
Some new applications of the method of lower and upper solutions to elliptic problems. Zbl 0791.35049
1993
Positive solutions of nonlinear elliptic systems. Zbl 0797.35044
1993
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth. (Research announcement). Zbl 1032.45500
1993
Critical point theorems and applications to nonlinear boundary value problems. Zbl 0706.34019
1990
The dual variational principle and discontinuous elliptic problems with strong resonance at infinity. Zbl 0758.35033
1990
Nonlinear boundary value problems for elliptic systems. Zbl 0643.35038
1987
Nonselfadjoint semilinear elliptic boundary value problems. Zbl 0674.35031
1987
Method of upper and lower solutions for nonlinear integral equations and an application to an infectious disease model. Zbl 0638.45002
1987
K-set contractions and nonlinear vector boundary value problems. Zbl 0604.34012
1986
K-contractions and periodic solutions to nonlinear ordinary differential equations by resonance. Zbl 0606.34028
1985
Existence theorems for equations in normed spaces and boundary value problems for nonlinear vector ordinary differential equations. Zbl 0558.47046
1984
Periodic solutions of nonlinear vector ordinary differential equations of higher order at resonance. Zbl 0516.34041
1983
Solvability of some operator equations and periodic solutions of nonlinear functional differential equations. Zbl 0476.34061
1983
Periodic solutions of neutral functional differential equations. Zbl 0525.34052
1983
all top 5

### Cited by 283 Authors

 18 Cañada Villar, Antonio 7 Afrouzi, Ghasem Alizadeh 7 Guo, Zongming 6 Samet, Bessem 6 Villegas, Salvador 5 Girg, Petr 5 Abreu Goncalves, Jose Valdo 5 Jleli, Mohamed Boussairi 5 Lu, Yanqiong 5 Ma, Ruyun 5 Miyagaki, Olimpio Hiroshi 5 Roca, Francisco 5 Shakeri, Saleh 4 Agarwal, Ravi P. 4 Chen, Ruipeng 4 Drábek, Pavel 4 Lenhart, Suzanne M. 4 Zhang, Meirong 3 Coclite, Giuseppe Maria 3 Gámez Ruiz, José Luis 3 Girejko, Ewa 3 Kirane, Mokhtar 3 Mahdavi, Somayeh 3 Mozyrska, Dorota 3 Naghizadeh, Zohreh 3 Rasouli, Sayyed Hashem 3 Ruiz, David 3 Stegliński, Robert 3 Takeuchi, Shingo 3 Wang, Miansen 3 Wyrwas, Małgorzata 3 Zhao, Chun 3 Zhao, Ping 2 Ahn, Inkyung 2 Aktaş, Mustafa Fahri 2 Alves, Claudianor Oliveira 2 Brunner, Hermann 2 da Silva Rodrigues Rodrigues, Rodrigo 2 Del Toro, Naira 2 Delgado, Manuel 2 Ding, Wandi 2 Firouzjai, A. 2 Garavello, Mauro 2 Hashizume, Masato 2 He, Zerong 2 Hei, Lijun 2 Hung, Kuo-Chih 2 Kannan, Rangachary 2 Khafagy, Salah Abdelnaby 2 Li, Yong 2 Marques, Ilma 2 Nguyen Phuoc Tai 2 O’Regan, Donal 2 Ortega, Rafael 2 Pardo, Rosa M. 2 Rădulescu, Vicenţiu D. 2 Ryu, Kimun 2 Sánchez, Justino 2 Santanilla, Jairo 2 Suárez, Antonio 2 Timoshin, Sergey A. 2 Vo, Hoang-Hung 2 Wang, Mingxin 2 Webb, Jeffrey Ronald Leslie 2 Wen, Zhiyuan 2 Yang, Xiaojing 2 Yang, Xue 2 Zahmatkesh, Hossein 2 Zertiti, Abderrahim 1 Abdal, Syed Mohammad 1 Abdeljawad, Thabet 1 Abreu, Emerson A. M. 1 Ahmetoğlu, Abdullah 1 Althiabi, A. M. 1 Alzabut, Jehad O. 1 Amen, Azad I. 1 Andres, Jan 1 Anichini, Giuseppe 1 Arcoya, David 1 Arino, Ovide 1 Arrieta, José M. 1 Bellomo, Nicola 1 Belmekki, Mohammed 1 Benchohra, Mouffak 1 Bhatti, Harbax Singh 1 Bobylev, Nikolaĭ Antonovich 1 Bognár, Gabriella 1 Bonheure, Denis 1 Bouali, Tahar 1 Bouguima, Sidi Mohamed 1 Boulaaras, Salah Mahmoud 1 Brown, Kenneth J. 1 Bu, Yucheng 1 Çakmak, Devrim 1 Carl, Siegfried 1 Carrião, Paulo Cesar 1 Castro, Alfonso 1 Čepička, Jan 1 Chang, Zhengbo 1 Chen, Caisheng ...and 183 more Authors
all top 5

### Cited in 86 Serials

 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Journal of Mathematical Analysis and Applications 11 Journal of Differential Equations 10 Applied Mathematics and Computation 8 Journal of Inequalities and Applications 8 Nonlinear Analysis. Theory, Methods & Applications 7 Applied Mathematics Letters 6 Nonlinear Analysis. Real World Applications 4 Computers & Mathematics with Applications 4 Mathematical and Computer Modelling 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Acta Mathematica Sinica. English Series 3 Boundary Value Problems 3 Discrete and Continuous Dynamical Systems. Series S 3 S$$\vec{\text{e}}$$MA Journal 2 Applicable Analysis 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Calculus of Variations and Partial Differential Equations 2 Acta Mathematica et Informatica Universitatis Ostraviensis 2 Abstract and Applied Analysis 2 Natural Resource Modeling 2 Applied Mathematics E-Notes 2 Hacettepe Journal of Mathematics and Statistics 2 Frontiers of Mathematics in China 2 International Journal of Biomathematics 2 International Journal of Differential Equations 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Glasgow Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Forum Mathematicum 1 Applications of Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 Complex Variables and Elliptic Equations 1 Journal of Nonlinear Science and Applications 1 Differential Equations and Applications 1 Science China. Mathematics 1 Caspian Journal of Mathematical Sciences 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics
all top 5

### Cited in 21 Fields

 111 Partial differential equations (35-XX) 87 Ordinary differential equations (34-XX) 28 Biology and other natural sciences (92-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Operator theory (47-XX) 11 Integral equations (45-XX) 11 Numerical analysis (65-XX) 9 Real functions (26-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Difference and functional equations (39-XX) 5 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX)