Abstract:
We prove a theorem on the existence of a nonzero periodic solution of a system of differential equations using the fixed-point method for a nonlinear operator defined on the product of two compact sets.
Keywords:nonzero periodic solution, nonlinear operator, fixed-point method, vector-valued function, vector-valued parameter, fundamental matrix of solutions, minor, rank of matrix, Lipschitz condition, vector-valued form, Jacobi matrix.
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