Global analysis and periodic solutions of second order systems of nonlinear differential equations

David Westreich

Vol. 67 (1976), No. 2, 537–554

DOI: 10.2140/pjm.1976.67.537

Abstract

We establish the existence of global closed connected sets of solutions of nonlinear operator equations with linearized part a polynomial in λ, bifurcating from characteristic values of odd multiplicity. These results are then applied to finding large periodic solutions of systems of second order nonlinear differential equations.

Mathematical Subject Classification 2000

Primary: 47H15

Secondary: 58F99, 34C25

Milestones

Received: 2 September 1975

Revised: 9 September 1976

Published: 1 December 1976