Multiple solutions with prescribed minimal period for second order odd Newtonian systems with symmetries (Q519473)

The authors explore the title subject in detail. The objective is to demonstrate the existence of multiple periodic solutions with a given minimal period for Newtonian systems, where the \(n\)-fold accelerations are equal to the gradient of a tightly restricted functional. The paper is very specialized and theoretical. It assumes that the reader already has some knowledge of the subject matter. Even so, the paper is well-written and concise with several proofs. It represents an advancement of the knowledge of second order odd Newtonian systems. The paper is likely to be of greatest interest to theoreticians working with the title problem and with ordinary differential equations.