Existence of solutions to N-dimensional pendulum-like equations

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-8

  Amster, Pablo ^a,b   De Nápoli, Pablo L ^a   Mariani, María Cristina ^c  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b Facultad de Ciencias Naturales e Instituto M Lillo   (Argentina)

^c NEW MEXICO STATE UNIVERSITY   (United States)

Author keywords

Boundary value problems; Pendulum like equations; Topological methods

Indexed keywords

EID: 6944228927     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Alonso J.; Nonexistence of periodic solutions for a damped pendulum equation. Diff. and Integral Equations, 10 (1997), 1141-1148.
2. Berestycki B., Brezis H.; On a free boundary problem arising in plasma physics. Nonlinear Analysis 4, 3 (1980), pp 415-436.
3. Castro A.; Periodic solutions of the forced pendulum equation. Differential equations (Proc. Eighth Fall Conf., Oklahoma State Univ., Stillwater, Okla., 1979), pp. 149-160, Academic Press, New York-London-Toronto, Ont., 1980.
4. Fournier G., Mawhin J.; On periodic solutions of forced pendulum-like equations. Journal of Differential Equations 60 (1985) 381-395.
5. Kesavan, S.; Topics in Functional Analysis and Applications. John Wiley & Sons, Inc., New York, NY, 1989.
6. Mawhin J.; Periodic oscillations of forced pendulum-like equations, Lecture Notes in Math, 964, Springer, Berlin 1982, 458-476.
7. Mawhin J.; Seventy-five years of global analysis around the forced pendulum equation, Proc. Equadiff 9, Brno 1997.
8. Ortega R.; A counterexample for the damped pendulum equation. Bull. de la Classe des Sciences, Ac. Roy. Belgique, LXXIII (1987), 405-409.
9. Ortega R.; Nonexistence of radial solutions of two elliptic boundary value problems. Proc. of the Royal Society of Edinburgh 114A (1990) 27-31.
10. Ortega R., Serra E., Tarallo M.; Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction. Proc. of Am. Math. Soc. Vol. 128, 9 (2000), 2659-2665.