Jack Macki - Academia.edu (original) (raw)

Papers by Jack Macki

Rocky Mountain Journal of Mathematics, 1992

Proceedings of the American Mathematical Society, 1988

For an m-dimensional differential inclusion of the form ie A(t)x(t) + F[t,x(t)], with A and F T-p... more For an m-dimensional differential inclusion of the form ie A(t)x(t) + F[t,x(t)], with A and F T-periodic in t, we prove the existence of a nonconstant periodic solution. Our hypotheses require m to be odd, and require F to have different growth behavior for |i| small and |i| large (often the case in applications). The idea is to guarantee that the topological degree associated with the system has different values on two distinct neighborhoods of the origin.

Annali di Matematica Pura ed Applicata, 1988

Rocky Mountain Journal of Mathematics, 1992

Proceedings of the American Mathematical Society, 1988

For an m-dimensional differential inclusion of the form ie A(t)x(t) + F[t,x(t)], with A and F T-p... more For an m-dimensional differential inclusion of the form ie A(t)x(t) + F[t,x(t)], with A and F T-periodic in t, we prove the existence of a nonconstant periodic solution. Our hypotheses require m to be odd, and require F to have different growth behavior for |i| small and |i| large (often the case in applications). The idea is to guarantee that the topological degree associated with the system has different values on two distinct neighborhoods of the origin.

Annali di Matematica Pura ed Applicata, 1988