Cordaro, Giuseppe Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems. (English) Zbl 1093.34019 Abstr. Appl. Anal. 2003, No. 18, 1037-1045 (2003). The author studies the eigenvalue problem related to second-order Hamiltonian systems. The main result gives a sufficcient condition for the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions. Reviewer: Klaudiusz Wójcik (Kraków) Cited in 9 Documents MSC: 34C25 Periodic solutions to ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) Keywords:Hamiltonian systems; eigenvalue problem; periodic solutions PDF BibTeX XML Cite \textit{G. Cordaro}, Abstr. Appl. Anal. 2003, No. 18, 1037--1045 (2003; Zbl 1093.34019) Full Text: DOI EuDML