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## Lazer, Alan C.

Compute Distance To:
 Author ID: lazer.alan-c Published as: Lazer, A. C.; Lazer, Alan C.; Lazer, Alan; Lazer, A. External Links: MGP · dblp
 Documents Indexed: 113 Publications since 1965, including 2 Books Biographic References: 2 Publications
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#### Co-Authors

 15 single-authored 39 McKenna, Patrick Joseph 28 Ahmad, Shair 4 Castro, Alfonso 3 Bhatia, Nam Parshad 3 Landesman, Edward M. 3 Solimini, Sergio 2 Choi, Yung-Sze 2 Hart, D. C. 2 Korman, Philip L. 2 Leach, D. E. 2 Sanchez, David A. 2 Szegö, Giorgio 2 Tineo, Antonio R. 1 Anderson, Larry R. 1 Berkey, Dennis D. 1 Cac, Nguyen Phuong 1 Cosner, Chris 1 Fonda, Alessandro 1 Garcia, Felix L. 1 Hastings, Stuart P. 1 Jiang, Jifa 1 Keener, Marvin S. 1 Leckband, Mark 1 Leighton, Walter jun. 1 Leung, Anthony Wing-Kwok 1 Li, Yi 1 Meyers, David R. 1 Murio, Diego A. 1 Paul, Jerome L. 1 Pellico, R. H. 1 Zhao, Jiandong
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#### Serials

 12 Journal of Mathematical Analysis and Applications 12 Nonlinear Analysis. Theory, Methods & Applications 8 Proceedings of the American Mathematical Society 6 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Differential and Integral Equations 4 SIAM Journal on Mathematical Analysis 3 Pacific Journal of Mathematics 3 Transactions of the American Mathematical Society 2 Mathematics Magazine 2 Journal of Computational and Applied Mathematics 2 Michigan Mathematical Journal 2 Communications in Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Bollettino della Unione Matemàtica Italiana. Serie VI. B 2 Electronic Journal of Differential Equations (EJDE) 1 American Mathematical Monthly 1 Applicable Analysis 1 Houston Journal of Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Revista Colombiana de Matemáticas 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista de Matemáticas Aplicadas 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Nonlinear World 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Mathematical Sciences Research Journal 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics
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#### Fields

 55 Ordinary differential equations (34-XX) 40 Partial differential equations (35-XX) 14 Biology and other natural sciences (92-XX) 9 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

100 Publications have been cited 3,371 times in 2,456 Documents Cited by Year
Nonlinear perturbations of linear elliptic boundary value problems at resonance. Zbl 0193.39203
Landesman, E. M.; Lazer, A. C.
1970
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057
Lazer, A. C.; McKenna, P. J.
1990
On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057
Lazer, A. C.; McKenna, P. J.
1991
On periodic solutions of nonlinear differential equations with singularities. Zbl 0616.34033
Lazer, A. C.; Solimini, S.
1987
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010
Lazer, A. C.; McKenna, P. J.
1994
Elementary critical point theory and perturbations of elliptic boundary value problems at resonance. Zbl 0351.35036
Ahmad, S.; Lazer, A. C.; Paul, J. L.
1976
Stable coexistence states in the Volterra-Lotka competition model with diffusion. Zbl 0562.92012
Cosner, Chris; Lazer, A. C.
1984
Bounded perturbations of forced harmonic oscillators at resonance. Zbl 0194.12003
Lazer, A. C.; Leach, D. E.
1969
On a problem of Bieberbach and Rademacher. Zbl 0833.35052
Lazer, A. C.; McKenna, P. J.
1993
Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Zbl 0426.35038
Castro, Alfonso; Lazer, A. C.
1979
Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. Zbl 0955.34041
Ahmad, Shair; Lazer, Alan C.
2000
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0667.47036
Lazer, A. C.; Solimini, S.
1988
An application of topological degree to the periodic competings species problem. Zbl 0625.92018
Alvarez, Carlos; Lazer, Alan C.
1986
The behavior of solutions of the differential equation $$y'''+p(x)y'+q(x)y = 0$$. Zbl 0143.31501
Lazer, A. C.
1966
On the number of solutions of a nonlinear Dirichlet problem. Zbl 0496.35039
Lazer, A. C.; McKenna, P. J.
1981
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0155.14001
Lazer, A. C.
1968
On singular boundary value problems for the Monge-Ampère operator. Zbl 0856.35042
Lazer, A. C.; McKenna, P. J.
1996
Application of a lemma on bilinear forms to a problem in nonlinear oscillations. Zbl 0257.34041
Lazer, A. C.
1972
On an abstract competition model and applications. Zbl 0743.35033
Hess, Peter; Lazer, Alan C.
1991
Global bifurcation and a theorem of Tarantello. Zbl 0797.34021
Lazer, A. C.; McKenna, P. J.
1994
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037
Lazer, A. C.; McKenna, P. J.
1983
Large scale oscillatory behaviour in loaded asymmetric systems. Zbl 0633.34037
Lazer, A. C.; McKenna, P. J.
1987
Necessary and sufficient average growth in a Lotka-Volterra system. Zbl 0934.34037
Ahmad, Shair; Lazer, Alan C.
1998
Asymptotic behaviour of solutions of periodic competition diffusion system. Zbl 0686.35060
Ahmad, Shair; Lazer, Alan C.
1989
Existence and stability of large scale nonlinear oscillations in suspension bridges. Zbl 0677.73046
Glover, J.; Lazer, A. C.; McKenna, P. J.
1989
On periodically perturbed conservative systems. Zbl 0187.34501
Lazer, A. C.; Sanchez, D. A.
1969
The permanence and global attractivity in a nonautonomous Lotka–Volterra system. Zbl 1085.34040
Zhao, Jiandong; Jiang, Jifa; Lazer, Alan C.
2004
On steady state solutions of a system of reaction-diffusion equations from biology. Zbl 0488.35039
Lazer, A. C.; McKenna, P. J.
1982
Linear eigenvalues and a nonlinear boundary value problem. Zbl 0204.12002
Landesman, E. M.; Lazer, A. C.
1970
Homoclinic orbits for a class of symmetric Hamiltonian systems. Zbl 0788.34042
Korman, Philip; Lazer, Alan C.
1994
Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Zbl 0725.34042
Lazer, A. C.; McKenna, P. J.
1989
On a nonlinear two-point boundary value problem. Zbl 0195.37701
Lazer, A. C.; Leach, D. E.
1969
On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence. Zbl 0354.35004
Lazer, A. C.; Landesman, E. M.; Meyers, David R.
1975
A symmetry theorem and applications to nonlinear partial differential equations. Zbl 0666.47038
Lazer, A. C.; McKenna, P. J.
1988
Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. Zbl 0584.35053
Lazer, A. C.; McKenna, P. J.
1985
Average growth and extinction in a competitive Lotka–Volterra system. Zbl 1088.34047
Ahmad, Shair; Lazer, Alan C.
2005
Characteristic exponents and diagonally dominant linear differential systems. Zbl 0215.43901
Lazer, A. C.
1971
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. Zbl 0572.35036
Lazer, A. C.; McKenna, P. J.
1985
Subharmonic solutions of conservative systems with nonconvex potentials. Zbl 0752.34027
Fonda, A.; Lazer, A. C.
1992
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II. Zbl 0654.35082
Lazer, A. C.; McKenna, P. J.
1986
A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities. Zbl 0683.34027
Lazer, A. C.; Mckenna, P. J.
1989
Average growth and total permanence in a competitive Lotka-Volterra System. Zbl 1162.34329
Ahmad, Shair; Lazer, Alan C.
2006
An elementary approach to traveling front solutions to a system of $$N$$ competition-diffusion equations. Zbl 0737.35029
Ahmad, Shair; Lazer, A. C.
1991
On nonautonomous $$n$$-competing species problems. Zbl 0859.34033
Ahmad, Shair; Lazer, A. C.
1995
On species extinction in an autonomous competition model. Zbl 0846.34043
Ahmad, Shair; Lazer, Alan C.
1996
Multiple solutions of two point boundary value problems with jumping nonlinearities. Zbl 0576.34017
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
1985
An $$n$$-dimensional extension of the Sturm separation and comparison theory to a class of nonselfadjoint systems. Zbl 0409.34029
Ahmad, Shair; Lazer, A. C.
1978
On the existence of stable periodic solutions of differential equations of Duffing type. Zbl 0714.34067
Lazer, A. C.; McKenna, P. J.
1990
Some remarks on a singular elliptic boundary value problem. Zbl 0940.35089
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
1998
On a singular quasilinear anisotropic elliptic boundary value problem. Zbl 0835.35049
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
1995
Results on periodic solutions of parabolic equations suggested by elliptic theory. Zbl 0501.35005
Castro, Alfonso; Lazer, Alan C.
1982
Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues. Zbl 0582.35049
Lazer, A. C.; McKenna, P. J.
1985
On homoclinic and heteroclinic orbits of Hamiltonian systems. Zbl 0897.34045
Korman, P.; Lazer, A. C.; Li, Y.
1997
On periodic solutions of weakly coupled systems of differential equations. Zbl 0487.34037
Castro, Alfonso; Lazer, Alan C.
1981
On the components of extremal solutions of second order systems. Zbl 0384.34021
Ahmad, Shair; Lazer, Alan C.
1977
Multiplicity of solutions of nonlinear boundary value problems. Zbl 0615.34011
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
1986
Applications of a max-min principle. Zbl 0356.35073
Castro, Alfonso; Lazer, A. C.
1976
Periodic bouncing for a forced linear spring with obstacle. Zbl 0757.34033
Lazer, A. C.; McKenna, P. J.
1992
Critical point theory and a theorem of Amaral and Pera. Zbl 0603.34036
Ahmad, S.; Lazer, A.
1984
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues. Zbl 0588.35036
Lazer, A. C.; McKenna, P. J.
1986
Monotone scheme for finite difference equations concerning steady-state prey-predator interactions. Zbl 0494.65052
Lazer, Alan C.; Leung, Anthony W.; Murio, Diego A.
1982
A stability for the differential equation $$y''+p(x) y = 0$$. Zbl 0125.32501
Lazer, A. C.
1965
Small periodic perturbations of a class of conservative systems. Zbl 0287.34039
Lazer, A. C.
1973
On global weak attractors in dynamical systems. Zbl 0147.23101
Bhatia, Nam P.; Lazer, Alan C.; Szegö, George P.
1966
On the oscillatory behavior of a class of linear third order differential equations. Zbl 0167.07903
Ahmad, S.; Lazer, A. C.
1969
On a property of nonautonomous Lotka-Volterra competition model. Zbl 0930.34038
Ahmad, Shair; Lazer, A. C.
1999
Non-linear flexings in a periodically forced floating beam. Zbl 0723.35079
Lazer, A. C.; McKenna, P. J.
1991
Periodic equilibria under periodic harvesting. Zbl 0539.92026
Lazer, A. C.; Sanchez, D. A.
1984
On nth-order Sturmian theory. Zbl 0444.34036
Ahmad, Shair; Lazer, Alan C.
1980
On an extension of Sturm’s comparison theorem to a class of nonselfadjoint second-order systems. Zbl 0454.34031
Ahmad, Shair; Lazer, Alan C.
1980
A new generalization of the Sturm comparison theorem to selfadjoint systems. Zbl 0379.34006
Ahmad, Shair; Lazer, Alan C.
1978
On travelling waves in a suspension bridge model as the wave speed goes to zero. Zbl 1228.34065
Lazer, A. C.; McKenna, P. J.
2011
A second look at the first result of Landesman-Lazer type. Zbl 0970.34033
Lazer, Alan C.
2000
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0619.58011
Lazer, A. C.; Solimini, S.
1986
Traveling waves for a system of equations. Zbl 1153.34325
Ahmad, Shair; Lazer, Alan C.; Tineo, Antonio
2008
On second order, periodic, symmetric, differential systems having subharmonics of all sufficiently large orders. Zbl 0853.34039
Các, N. P.; Lazer, A. C.
1996
Component properties of second order linear systems. Zbl 0362.34007
Ahmad, Shair; Lazer, A. C.
1976
On the asymptotic behavior of solutions of the differential equation $$y^{(4)} = p(t)y$$. Zbl 0157.14901
Hastings, S. P.; Lazer, A. C.
1968
A singular elliptic boundary value problem. Zbl 0817.35027
Lazer, A. C.; McKenna, P. J.
1994
Separated solutions of logistic equation with nonperiodic harvesting. Zbl 1366.34020
Ahmad, Shair; Lazer, Alan C.
2017
Recent multiplicity results for nonlinear boundary value problems. Zbl 0559.35029
Lazer, A. C.; McKenna, P. J.
1984
On an extension of the Sturm comparison theorem. Zbl 0479.34015
Ahmad, Shair; Lazer, Alan C.
1981
Topological degree and symmetric families of periodic solutions of nondissipative second-order systems. Zbl 0346.34022
Lazer, A. C.
1975
Application of the Poincaré-Bendixson theorem. Zbl 0144.22403
Bhatia, N. P.; Lazer, A. C.; Leighton, W.
1966
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0189.39001
Lazer, A. C.
1967
On a property of a generalized Kolmogorov population model. Zbl 1270.34040
Ahmad, Shair; Lazer, Alan C.
2013
Some remarks on parabolic solutions of parabolic differential equations. Zbl 0551.35044
Lazer, Alan C.
1982
On the asymptotic behavior of solutions of the differential equation $$y''+ p(x)y = 0$$. Zbl 0134.30404
Lazer, A. C.
1965
Nonlinear periodic flexing in a floating beam. Zbl 0810.73024
Lazer, Alan C.; McKenna, P. J.
1994
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges. Zbl 0847.34024
Lazer, A. C.; McKenna, P. J.
1996
Fredholm theory for periodic solutions of some semilinear p.d.e.s with homogeneous nonlinearities. Zbl 0712.35065
Lazer, A. C.; McKenna, P. J.
1990
Positive operators and Sturmian theory of nonselfadjoint second-order systems. Zbl 0454.34029
Ahmad, Shair; Lazer, Alan C.
1978
On the computation of periodic solutions of weakly nonlinear differential equations. Zbl 0173.18003
Lazer, A. C.
1967
Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities. Zbl 0674.35032
Lazer, Alan
1988
On limitations to the solution set of some nonlinear problems. Zbl 0551.35040
Lazer, Alan C.; McKenna, P. J.
1982
An abstract theorem in nonlinear analysis. Zbl 1319.35042
Lazer, A. C.; McKenna, P. J.
2014
The fundamental theorem of algebra via the Fourier inversion formula. Zbl 1208.30008
Lazer, Alan C.; Leckband, Mark
2010
On the role of Hopf’s maximum principle in elliptic Sturmian theory. Zbl 0424.35032
Ahmad, Shair; Lazer, Alan C.
1979
Nonresonance conditions for the existence, uniqueness, and stability of periodic solutions of differential equations with a symmetric nonlinearities. Zbl 0731.34039
Lazer, A. C.; McKenna, P. J.
1991
On the solutions of a class of linear selfadjoint differential equations. Zbl 0211.39801
Anderson, Larry R.; Lazer, A. C.
1970
Separated solutions of logistic equation with nonperiodic harvesting. Zbl 1366.34020
Ahmad, Shair; Lazer, Alan C.
2017
An abstract theorem in nonlinear analysis. Zbl 1319.35042
Lazer, A. C.; McKenna, P. J.
2014
On a property of a generalized Kolmogorov population model. Zbl 1270.34040
Ahmad, Shair; Lazer, Alan C.
2013
On travelling waves in a suspension bridge model as the wave speed goes to zero. Zbl 1228.34065
Lazer, A. C.; McKenna, P. J.
2011
The fundamental theorem of algebra via the Fourier inversion formula. Zbl 1208.30008
Lazer, Alan C.; Leckband, Mark
2010
Traveling waves for a system of equations. Zbl 1153.34325
Ahmad, Shair; Lazer, Alan C.; Tineo, Antonio
2008
Average growth and total permanence in a competitive Lotka-Volterra System. Zbl 1162.34329
Ahmad, Shair; Lazer, Alan C.
2006
Average growth and extinction in a competitive Lotka–Volterra system. Zbl 1088.34047
Ahmad, Shair; Lazer, Alan C.
2005
The permanence and global attractivity in a nonautonomous Lotka–Volterra system. Zbl 1085.34040
Zhao, Jiandong; Jiang, Jifa; Lazer, Alan C.
2004
Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. Zbl 0955.34041
Ahmad, Shair; Lazer, Alan C.
2000
A second look at the first result of Landesman-Lazer type. Zbl 0970.34033
Lazer, Alan C.
2000
On a property of nonautonomous Lotka-Volterra competition model. Zbl 0930.34038
Ahmad, Shair; Lazer, A. C.
1999
Necessary and sufficient average growth in a Lotka-Volterra system. Zbl 0934.34037
Ahmad, Shair; Lazer, Alan C.
1998
Some remarks on a singular elliptic boundary value problem. Zbl 0940.35089
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
1998
On homoclinic and heteroclinic orbits of Hamiltonian systems. Zbl 0897.34045
Korman, P.; Lazer, A. C.; Li, Y.
1997
On singular boundary value problems for the Monge-Ampère operator. Zbl 0856.35042
Lazer, A. C.; McKenna, P. J.
1996
On species extinction in an autonomous competition model. Zbl 0846.34043
Ahmad, Shair; Lazer, Alan C.
1996
On second order, periodic, symmetric, differential systems having subharmonics of all sufficiently large orders. Zbl 0853.34039
Các, N. P.; Lazer, A. C.
1996
Open problems in nonlinear ordinary boundary value problems arising from the study of large-amplitude periodic oscillations in suspension bridges. Zbl 0847.34024
Lazer, A. C.; McKenna, P. J.
1996
On nonautonomous $$n$$-competing species problems. Zbl 0859.34033
Ahmad, Shair; Lazer, A. C.
1995
On a singular quasilinear anisotropic elliptic boundary value problem. Zbl 0835.35049
Choi, Y. S.; Lazer, A. C.; McKenna, P. J.
1995
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010
Lazer, A. C.; McKenna, P. J.
1994
Global bifurcation and a theorem of Tarantello. Zbl 0797.34021
Lazer, A. C.; McKenna, P. J.
1994
Homoclinic orbits for a class of symmetric Hamiltonian systems. Zbl 0788.34042
Korman, Philip; Lazer, Alan C.
1994
A singular elliptic boundary value problem. Zbl 0817.35027
Lazer, A. C.; McKenna, P. J.
1994
Nonlinear periodic flexing in a floating beam. Zbl 0810.73024
Lazer, Alan C.; McKenna, P. J.
1994
On a problem of Bieberbach and Rademacher. Zbl 0833.35052
Lazer, A. C.; McKenna, P. J.
1993
Subharmonic solutions of conservative systems with nonconvex potentials. Zbl 0752.34027
Fonda, A.; Lazer, A. C.
1992
Periodic bouncing for a forced linear spring with obstacle. Zbl 0757.34033
Lazer, A. C.; McKenna, P. J.
1992
On a singular nonlinear elliptic boundary-value problem. Zbl 0727.35057
Lazer, A. C.; McKenna, P. J.
1991
On an abstract competition model and applications. Zbl 0743.35033
Hess, Peter; Lazer, Alan C.
1991
An elementary approach to traveling front solutions to a system of $$N$$ competition-diffusion equations. Zbl 0737.35029
Ahmad, Shair; Lazer, A. C.
1991
Non-linear flexings in a periodically forced floating beam. Zbl 0723.35079
Lazer, A. C.; McKenna, P. J.
1991
Nonresonance conditions for the existence, uniqueness, and stability of periodic solutions of differential equations with a symmetric nonlinearities. Zbl 0731.34039
Lazer, A. C.; McKenna, P. J.
1991
Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis. Zbl 0725.73057
Lazer, A. C.; McKenna, P. J.
1990
On the existence of stable periodic solutions of differential equations of Duffing type. Zbl 0714.34067
Lazer, A. C.; McKenna, P. J.
1990
Fredholm theory for periodic solutions of some semilinear p.d.e.s with homogeneous nonlinearities. Zbl 0712.35065
Lazer, A. C.; McKenna, P. J.
1990
Asymptotic behaviour of solutions of periodic competition diffusion system. Zbl 0686.35060
Ahmad, Shair; Lazer, Alan C.
1989
Existence and stability of large scale nonlinear oscillations in suspension bridges. Zbl 0677.73046
Glover, J.; Lazer, A. C.; McKenna, P. J.
1989
Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities. Zbl 0725.34042
Lazer, A. C.; McKenna, P. J.
1989
A semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities. Zbl 0683.34027
Lazer, A. C.; Mckenna, P. J.
1989
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0667.47036
Lazer, A. C.; Solimini, S.
1988
A symmetry theorem and applications to nonlinear partial differential equations. Zbl 0666.47038
Lazer, A. C.; McKenna, P. J.
1988
Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities. Zbl 0674.35032
Lazer, Alan
1988
On periodic solutions of nonlinear differential equations with singularities. Zbl 0616.34033
Lazer, A. C.; Solimini, S.
1987
Large scale oscillatory behaviour in loaded asymmetric systems. Zbl 0633.34037
Lazer, A. C.; McKenna, P. J.
1987
An application of topological degree to the periodic competings species problem. Zbl 0625.92018
Alvarez, Carlos; Lazer, Alan C.
1986
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. II. Zbl 0654.35082
Lazer, A. C.; McKenna, P. J.
1986
Multiplicity of solutions of nonlinear boundary value problems. Zbl 0615.34011
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
1986
Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues. Zbl 0588.35036
Lazer, A. C.; McKenna, P. J.
1986
Nontrivial solutions of operator equations and Morse indices of critical points of min-max type. Zbl 0619.58011
Lazer, A. C.; Solimini, S.
1986
Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems. Zbl 0584.35053
Lazer, A. C.; McKenna, P. J.
1985
Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues. Zbl 0572.35036
Lazer, A. C.; McKenna, P. J.
1985
Multiple solutions of two point boundary value problems with jumping nonlinearities. Zbl 0576.34017
Hart, D. C.; Lazer, A. C.; McKenna, P. J.
1985
Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues. Zbl 0582.35049
Lazer, A. C.; McKenna, P. J.
1985
Stable coexistence states in the Volterra-Lotka competition model with diffusion. Zbl 0562.92012
Cosner, Chris; Lazer, A. C.
1984
Critical point theory and a theorem of Amaral and Pera. Zbl 0603.34036
Ahmad, S.; Lazer, A.
1984
Periodic equilibria under periodic harvesting. Zbl 0539.92026
Lazer, A. C.; Sanchez, D. A.
1984
Recent multiplicity results for nonlinear boundary value problems. Zbl 0559.35029
Lazer, A. C.; McKenna, P. J.
1984
On a conjecture related to the number of solutions of a nonlinear Dirichlet problem. Zbl 0533.35037
Lazer, A. C.; McKenna, P. J.
1983
On steady state solutions of a system of reaction-diffusion equations from biology. Zbl 0488.35039
Lazer, A. C.; McKenna, P. J.
1982
Results on periodic solutions of parabolic equations suggested by elliptic theory. Zbl 0501.35005
Castro, Alfonso; Lazer, Alan C.
1982
Monotone scheme for finite difference equations concerning steady-state prey-predator interactions. Zbl 0494.65052
Lazer, Alan C.; Leung, Anthony W.; Murio, Diego A.
1982
Some remarks on parabolic solutions of parabolic differential equations. Zbl 0551.35044
Lazer, Alan C.
1982
On limitations to the solution set of some nonlinear problems. Zbl 0551.35040
Lazer, Alan C.; McKenna, P. J.
1982
On the number of solutions of a nonlinear Dirichlet problem. Zbl 0496.35039
Lazer, A. C.; McKenna, P. J.
1981
On periodic solutions of weakly coupled systems of differential equations. Zbl 0487.34037
Castro, Alfonso; Lazer, Alan C.
1981
On an extension of the Sturm comparison theorem. Zbl 0479.34015
Ahmad, Shair; Lazer, Alan C.
1981
On nth-order Sturmian theory. Zbl 0444.34036
Ahmad, Shair; Lazer, Alan C.
1980
On an extension of Sturm’s comparison theorem to a class of nonselfadjoint second-order systems. Zbl 0454.34031
Ahmad, Shair; Lazer, Alan C.
1980
Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Zbl 0426.35038
Castro, Alfonso; Lazer, A. C.
1979
On the role of Hopf’s maximum principle in elliptic Sturmian theory. Zbl 0424.35032
Ahmad, Shair; Lazer, Alan C.
1979
An $$n$$-dimensional extension of the Sturm separation and comparison theory to a class of nonselfadjoint systems. Zbl 0409.34029
Ahmad, Shair; Lazer, A. C.
1978
A new generalization of the Sturm comparison theorem to selfadjoint systems. Zbl 0379.34006
Ahmad, Shair; Lazer, Alan C.
1978
Positive operators and Sturmian theory of nonselfadjoint second-order systems. Zbl 0454.34029
Ahmad, Shair; Lazer, Alan C.
1978
On the components of extremal solutions of second order systems. Zbl 0384.34021
Ahmad, Shair; Lazer, Alan C.
1977
Elementary critical point theory and perturbations of elliptic boundary value problems at resonance. Zbl 0351.35036
Ahmad, S.; Lazer, A. C.; Paul, J. L.
1976
Applications of a max-min principle. Zbl 0356.35073
Castro, Alfonso; Lazer, A. C.
1976
Component properties of second order linear systems. Zbl 0362.34007
Ahmad, Shair; Lazer, A. C.
1976
On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence. Zbl 0354.35004
Lazer, A. C.; Landesman, E. M.; Meyers, David R.
1975
Topological degree and symmetric families of periodic solutions of nondissipative second-order systems. Zbl 0346.34022
Lazer, A. C.
1975
Small periodic perturbations of a class of conservative systems. Zbl 0287.34039
Lazer, A. C.
1973
Application of a lemma on bilinear forms to a problem in nonlinear oscillations. Zbl 0257.34041
Lazer, A. C.
1972
Characteristic exponents and diagonally dominant linear differential systems. Zbl 0215.43901
Lazer, A. C.
1971
Nonlinear perturbations of linear elliptic boundary value problems at resonance. Zbl 0193.39203
Landesman, E. M.; Lazer, A. C.
1970
Linear eigenvalues and a nonlinear boundary value problem. Zbl 0204.12002
Landesman, E. M.; Lazer, A. C.
1970
On the solutions of a class of linear selfadjoint differential equations. Zbl 0211.39801
Anderson, Larry R.; Lazer, A. C.
1970
Bounded perturbations of forced harmonic oscillators at resonance. Zbl 0194.12003
Lazer, A. C.; Leach, D. E.
1969
On periodically perturbed conservative systems. Zbl 0187.34501
Lazer, A. C.; Sanchez, D. A.
1969
On a nonlinear two-point boundary value problem. Zbl 0195.37701
Lazer, A. C.; Leach, D. E.
1969
On the oscillatory behavior of a class of linear third order differential equations. Zbl 0167.07903
Ahmad, S.; Lazer, A. C.
1969
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0155.14001
Lazer, A. C.
1968
On the asymptotic behavior of solutions of the differential equation $$y^{(4)} = p(t)y$$. Zbl 0157.14901
Hastings, S. P.; Lazer, A. C.
1968
On Schauder’s fixed point theorem and forced second-order nonlinear oscillations. Zbl 0189.39001
Lazer, A. C.
1967
On the computation of periodic solutions of weakly nonlinear differential equations. Zbl 0173.18003
Lazer, A. C.
1967
The behavior of solutions of the differential equation $$y'''+p(x)y'+q(x)y = 0$$. Zbl 0143.31501
Lazer, A. C.
1966
On global weak attractors in dynamical systems. Zbl 0147.23101
Bhatia, Nam P.; Lazer, Alan C.; Szegö, George P.
1966
Application of the Poincaré-Bendixson theorem. Zbl 0144.22403
Bhatia, N. P.; Lazer, A. C.; Leighton, W.
1966
A stability for the differential equation $$y''+p(x) y = 0$$. Zbl 0125.32501
Lazer, A. C.
1965
On the asymptotic behavior of solutions of the differential equation $$y''+ p(x)y = 0$$. Zbl 0134.30404
Lazer, A. C.
1965
all top 5

#### Cited by 1,995 Authors

 46 Papageorgiou, Nikolaos S. 42 McKenna, Patrick Joseph 41 Lazer, Alan C. 39 Zhang, Zhijun 38 Zanolin, Fabio 35 Ahmad, Shair 26 Mawhin, Jean L. 25 Fonda, Alessandro 23 Schechter, Martin 22 Ma, Ruyun 21 Drábek, Pavel 20 Rădulescu, Vicenţiu D. 19 Dancer, Edward Norman 19 Yang, Zuodong 18 Chen, Fengde 16 Chu, Jifeng 16 Tang, Chun-Lei 16 Torres, Pedro José 16 Wang, Zaihong 15 López-Gómez, Julián 15 Su, Jiabao 15 Tang, Xianhua 15 Teng, Zhi-dong 14 Abreu Goncalves, Jose Valdo 14 Kannan, Rangachary 14 Korman, Philip L. 14 Lu, Shiping 14 Omari, Pierpaolo 14 Tineo, Antonio R. 13 Amster, Pablo 13 Choi, Q-Heung 13 Du, Yihong 13 Ma, Qiaozhen 13 Mohammed, Ahmed 13 Zhang, Ziheng 12 Gasiński, Leszek 12 Li, Shujie 12 Wang, Yuanming 11 Agarwal, Ravi P. 11 Castro, Alfonso 11 Cheng, Zhibo 11 Jung, Tacksun 11 Li, Xiong 11 Mâagli, Habib 11 Santos, Carlos Alberto P. 11 Solimini, Sergio 11 Xia, Yonghui 10 Cosner, Chris 10 Costa, David Goldstein 10 Feng, Meiqiang 10 Han, Zhiqing 10 Hirano, Norimichi 10 Krasnosel’skiĭ, Aleksandr Markovich 10 Nieto Roig, Juan Jose 10 Porru, Giovanni 10 Sanchez, Luís 10 Ward, James Robert jun. 10 Zhang, Jihui 10 Zhao, Xiao-Qiang 9 Cantrell, Robert Stephen 9 Cesari, Lamberto 9 Choi, Yung-Sze 9 García-Melián, Jorge 9 Hou, Zhanyuan 9 Li, Shengjun 9 Nkashama, Mubenga N. 9 Ortega, Rafael 9 Terracini, Susanna 9 Zhang, Xuemei 8 An, Yukun 8 Cañada Villar, Antonio 8 Chen, Lansun 8 Cîrstea, Florica-Corina Şt. 8 Guedes de Figueiredo, Djairo 8 Feng, Wei 8 Garrione, Maurizio 8 Gazzola, Filippo 8 Guo, Zongming 8 Holubová, Gabriela 8 Liu, Bin 8 Mi, Ling 8 Oliva, Francescantonio 8 O’Regan, Donal 8 Pao, Chia-Ven 8 Parhi, Narahari 8 Qian, Dingbian 8 Ramos, Miguel 8 Robinson, Stephen B. 8 Smith, Hal Leslie 8 Yang, Xiaojing 8 Yuan, Rong 8 Zhao, Peihao 7 Alves, Claudianor Oliveira 7 Canino, Annamaria 7 Chen, Jinhai 7 Conti, Monica C. 7 Da Silva, Edcarlos Domingos 7 Džurina, Jozef 7 Garain, Prashanta 7 Giarrusso, Ester ...and 1,895 more Authors
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#### Cited in 251 Serials

 345 Journal of Mathematical Analysis and Applications 242 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 205 Journal of Differential Equations 179 Nonlinear Analysis. Theory, Methods & Applications 73 Applied Mathematics and Computation 68 Nonlinear Analysis. Real World Applications 58 Proceedings of the American Mathematical Society 54 Boundary Value Problems 41 Applied Mathematics Letters 39 Annali di Matematica Pura ed Applicata. Serie Quarta 31 Advanced Nonlinear Studies 29 Transactions of the American Mathematical Society 28 Calculus of Variations and Partial Differential Equations 28 Abstract and Applied Analysis 27 Applicable Analysis 27 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Journal of Functional Analysis 23 Mediterranean Journal of Mathematics 22 Computers & Mathematics with Applications 22 Journal of Computational and Applied Mathematics 21 Discrete and Continuous Dynamical Systems 21 Complex Variables and Elliptic Equations 18 Czechoslovak Mathematical Journal 18 Acta Mathematica Sinica. English Series 18 Advances in Difference Equations 16 Rocky Mountain Journal of Mathematics 15 Bulletin of the Australian Mathematical Society 15 Results in Mathematics 15 Mathematical and Computer Modelling 15 NoDEA. Nonlinear Differential Equations and Applications 15 Communications on Pure and Applied Analysis 14 Mathematical Methods in the Applied Sciences 14 Mathematische Nachrichten 13 Communications in Partial Differential Equations 13 Journal of Dynamics and Differential Equations 13 Journal of Fixed Point Theory and Applications 11 Journal of Applied Mathematics and Computing 10 Chaos, Solitons and Fractals 10 Mathematica Slovaca 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Discrete Dynamics in Nature and Society 10 Advances in Nonlinear Analysis 9 Mathematische Annalen 9 Monatshefte für Mathematik 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Zeitschrift für Analysis und ihre Anwendungen 9 Acta Applicandae Mathematicae 9 Electronic Journal of Differential Equations (EJDE) 9 Journal of Difference Equations and Applications 9 Discrete and Continuous Dynamical Systems. Series B 8 Mathematische Zeitschrift 8 Applications of Mathematics 8 Positivity 8 Journal of Function Spaces 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Acta Mathematicae Applicatae Sinica. English Series 7 Topological Methods in Nonlinear Analysis 7 Applied Mathematics. Series B (English Edition) 7 Mathematical Problems in Engineering 7 Differential Equations and Dynamical Systems 6 Archive for Rational Mechanics and Analysis 6 Manuscripta Mathematica 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Nonlinear Dynamics 6 Journal of Inequalities and Applications 6 Journal of Applied Mathematics 6 International Journal of Differential Equations 5 Journal d’Analyse Mathématique 5 Mathematical Biosciences 5 Advances in Mathematics 5 Numerische Mathematik 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Rendiconti del Seminario Matematico della Università di Padova 5 Applied Mathematics and Mechanics. (English Edition) 5 Applied Numerical Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Milan Journal of Mathematics 5 Science China. Mathematics 5 SN Partial Differential Equations and Applications 4 Journal of Mathematical Physics 4 Applied Mathematics and Optimization 4 Ricerche di Matematica 4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 4 Japan Journal of Industrial and Applied Mathematics 4 Applied Mathematical Modelling 4 Linear Algebra and its Applications 4 Bulletin of the American Mathematical Society. New Series 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Qualitative Theory of Dynamical Systems 4 The ANZIAM Journal 4 Journal of the Australian Mathematical Society 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Matematický Časopis, Slovenskej Akadémie Vied 4 Differential Equations and Applications 4 Korean Journal of Mathematics 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Journal of Mathematical Biology 3 Mathematical Notes ...and 151 more Serials
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#### Cited in 42 Fields

 1,333 Partial differential equations (35-XX) 1,027 Ordinary differential equations (34-XX) 350 Operator theory (47-XX) 316 Biology and other natural sciences (92-XX) 215 Global analysis, analysis on manifolds (58-XX) 182 Dynamical systems and ergodic theory (37-XX) 86 Mechanics of deformable solids (74-XX) 81 Calculus of variations and optimal control; optimization (49-XX) 63 Numerical analysis (65-XX) 53 Mechanics of particles and systems (70-XX) 44 Difference and functional equations (39-XX) 21 Systems theory; control (93-XX) 20 Integral equations (45-XX) 19 Functional analysis (46-XX) 17 Potential theory (31-XX) 10 Probability theory and stochastic processes (60-XX) 10 Fluid mechanics (76-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Differential geometry (53-XX) 8 Algebraic topology (55-XX) 7 General topology (54-XX) 7 Quantum theory (81-XX) 6 Real functions (26-XX) 6 Manifolds and cell complexes (57-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)