For an m-dimensional differential inclusion of the for;…#x220A;A(t)x(t;…[t, x(t)], wit;…n;…-periodic in t, we prove the existence o;…onconstant periodic solution. Our hypotheses requir;…o be odd, and requir;…o have different growth behavior for |x| small and |x| 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. © 1988 American Mathematical Society.
Macki, J., Nistri, P., Zecca, P. (1988). The existence of periodic solutions to non autonomous differential inclusions. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 104(3), 840-844 [10.1090/S0002-9939-1988-0931741-X].
The existence of periodic solutions to non autonomous differential inclusions
NISTRI, PAOLO;
1988-01-01
Abstract
For an m-dimensional differential inclusion of the for;…#x220A;A(t)x(t;…[t, x(t)], wit;…n;…-periodic in t, we prove the existence o;…onconstant periodic solution. Our hypotheses requir;…o be odd, and requir;…o have different growth behavior for |x| small and |x| 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. © 1988 American Mathematical Society.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/28416
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