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Abstract:

We study the existence of solutions for a nonlinear second order system of ordinary differential equations under various boundary conditions. Assuming suitable Nagumo type conditions we prove the existence of at least one solution applying the method of upper and lower solutions. Moreover, using topological degree methods we prove the existence of solutions under Landesman-Lazer type conditions. © 2006 Birkhäuser Verlag, Basel.

Registro:

Documento: Artículo
Título:Nagumo and Landesman-Lazer type conditions for nonlinear second order systems
Autor:Amster, P.
Filiación:FCEyN - Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina
Consejo Nacional de Investigaciones, Científicas y Técnicas (CONICET), Buenos Aires, Argentina
Palabras clave:Landesman-Lazer conditions; Nagumo condition; Nonlinear systems; Topological degree methods
Año:2007
Volumen:13
Número:5-6
Página de inicio:699
Página de fin:711
DOI: http://dx.doi.org/10.1007/s00030-006-4042-8
Título revista:Nonlinear Differential Equations and Applications
Título revista abreviado:Nonlinear Diff. Equ. Appl.
ISSN:10219722
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v13_n5-6_p699_Amster

Referencias:

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  • FABRY, C.H., HABETS, P., Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions (1986) Nonlinear Analysis, 10, pp. 985-1007
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Citas:

---------- APA ----------
(2007) . Nagumo and Landesman-Lazer type conditions for nonlinear second order systems. Nonlinear Differential Equations and Applications, 13(5-6), 699-711.
http://dx.doi.org/10.1007/s00030-006-4042-8
---------- CHICAGO ----------
Amster, P. "Nagumo and Landesman-Lazer type conditions for nonlinear second order systems" . Nonlinear Differential Equations and Applications 13, no. 5-6 (2007) : 699-711.
http://dx.doi.org/10.1007/s00030-006-4042-8
---------- MLA ----------
Amster, P. "Nagumo and Landesman-Lazer type conditions for nonlinear second order systems" . Nonlinear Differential Equations and Applications, vol. 13, no. 5-6, 2007, pp. 699-711.
http://dx.doi.org/10.1007/s00030-006-4042-8
---------- VANCOUVER ----------
Amster, P. Nagumo and Landesman-Lazer type conditions for nonlinear second order systems. Nonlinear Diff. Equ. Appl. 2007;13(5-6):699-711.
http://dx.doi.org/10.1007/s00030-006-4042-8