Counting periodic solutions of the forced pendulum equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 6, 2000, Pages 1055-1062

  Ortega, Rafael ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; PROBLEM SOLVING; THEOREM PROVING;

FORCED PENDULUM EQUATION; JENSEN INEQUALITY;

NONLINEAR EQUATIONS;

EID: 0343006810     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00169-8     Document Type: Article

References (8)

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3. M. Lavrentiev, B. Chavat, Méthodes de la théorie des fonctions d'une variable complexe, Mir, Moscou.
4. A.I. Markushevich, Theory of Functions of a Complex Variable, vol II, Prentice-Hall, Englewood Cliffs, NJ, 1965.
5. J. Mawhin, Seventy-five years of global analysis around the forced pendulum equation, in: Agarwal, Neuman, Vosmanský (Eds.), Proceedings of the Conference Equadiff 9 (Brno, 1997 ), Masanyk Univ., 1998, pp. 115-145.
6. Ortega R. A forced pendulum equation with many periodic solutions. Rocky Mountain J. Math. 27:1997;861-876.
7. Serra E., Tarallo M., Terracini S. On the structure of the solution set of forced pendulum-type equations. J. Differential Equations. 131:1996;189-208.
8. Tarantello G. On the number of solutions for the forced pendulum equation. J. Differential Equations. 80:1989;79-93.