THE NUMBER OF PERIODIC SOLUTION OF n-DIMENSIONAL NONAUTONOMOUS DIFFENTIAL SYSTEMS
Ma Rongguo Sun Huarong (Xian Institute of Highway)
ABSTRACT In this paper,We discuss the existence of periodic solution of n-dimensional system (?)=A(t)x+(1/λ)g(t,x) x∈R~n (1) and using the theory of topological degree,a sufficient condition in which the system (1) has at least three non-trival w-periodic solution is obtained,where homogeneous equation (?)=A(t)x x∈R~n (2) hasn't non-trival ω-periodic solution.