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Amster, P.; De Nápoli, P.; Mariani, M.C. "Periodic solutions of a resonant third-order equation" (2005) Nonlinear Analysis, Theory, Methods and Applications. 60(3):399-410
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Abstract:

We study the existence of periodic solutions for a third-order equation of resonant type. Under suitable conditions we prove the existence of at least one periodic solution of the problem applying Mawhin coincidence degree theory. © 2004 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:Periodic solutions of a resonant third-order equation
Autor:Amster, P.; De Nápoli, P.; Mariani, M.C.
Filiación:Departamento de Mátematica, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina
CONICET, Rivadavia 1917, C1033AAJ Buenos Aires, Argentina
Department of Mathematical Sciences, New Mexico State Universtiy, Las Cruces, NM 88003-0001, United States
Palabras clave:Coincidence degree; Periodic conditions; Resonant equations; Functions; Hamiltonians; Integration; Mapping; Problem solving; Theorem proving; Coincidence degree; Periodic conditions; Resonant equations; Third-order equations; Nonlinear systems
Año:2005
Volumen:60
Número:3
Página de inicio:399
Página de fin:410
DOI: http://dx.doi.org/10.1016/j.na.2003.03.001
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v60_n3_p399_Amster

Referencias:

  • Ezeilo, J., Nkashama, M., Resonant and nonresonant oscillations of some third order ordinary differential equations (1988) Nonlinear Anal. Theory Appl., 12 (10), pp. 1029-1049
  • Ezeilo, J., Omari, P., Nonresonant oscillations for some third-order differential equations (1989) J. Math. Anal. Appl., 143 (1), p. 56
  • Fang, H., Wang, Z.C., Periodic boundary value problems of impulsive differential equations (2001) Appl. Math. E-Notes, 1, pp. 77-85
  • Gaines, R., Mawhin, J., (1997) Lecture Notes in Mathematics, 586. , Springer, Berlin
  • Lyase, S., Non-resonant oscillations for some fourth-order differential equations with delay (1999) Math. Proc. Roy. Irish Acad., 99 A (1), pp. 113-121
  • Lazer, A., A Second look at the first result of Landesman-lazer type (2000) Electron. J. Differential Equations, Conf., 5, pp. 113-119
  • Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF-CBMS Regional Conference in Mathematics, 40. , American Mathematical Society, Providence, RI
  • Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. de la Sociedad Española de Mat. Aplicada, 16, pp. 45-65
  • Minhós, F., Periodic solutions for a third order differential equation under conditions on the potential (1998) Portugal. Math., 55 (4)
  • Ortega, R., Sanchez, L., Periodic solutions of a forced oscillator with several degrees of freedom (2002) Bull. London Math. Soc., 34, pp. 308-318

Citas:

---------- APA ----------
Amster, P., De Nápoli, P. & Mariani, M.C. (2005) . Periodic solutions of a resonant third-order equation. Nonlinear Analysis, Theory, Methods and Applications, 60(3), 399-410.
http://dx.doi.org/10.1016/j.na.2003.03.001
---------- CHICAGO ----------
Amster, P., De Nápoli, P., Mariani, M.C. "Periodic solutions of a resonant third-order equation" . Nonlinear Analysis, Theory, Methods and Applications 60, no. 3 (2005) : 399-410.
http://dx.doi.org/10.1016/j.na.2003.03.001
---------- MLA ----------
Amster, P., De Nápoli, P., Mariani, M.C. "Periodic solutions of a resonant third-order equation" . Nonlinear Analysis, Theory, Methods and Applications, vol. 60, no. 3, 2005, pp. 399-410.
http://dx.doi.org/10.1016/j.na.2003.03.001
---------- VANCOUVER ----------
Amster, P., De Nápoli, P., Mariani, M.C. Periodic solutions of a resonant third-order equation. Nonlinear Anal Theory Methods Appl. 2005;60(3):399-410.
http://dx.doi.org/10.1016/j.na.2003.03.001