| Contents |
| This talk deals with a semi-linear evolution equation in a Banach space: x'(t) = Ax(t) + f(t, x(t)) which is the abstract formulation of many concrete differential models.
The densely defined linear part A generates a strongly continuous semigroup of contractions; the nonlinear term f is continuos and possibly
super-linear in x. A wide family of nonlocal associated boundary problems is studied, including Periodic,
anti-periodic, mean value and multipoint conditions. The investigation is based on topological techniques and suitable
Lyaponov-like functions for guaranteing the required transversality are introduced.
Applications to the study of nonlocal population diffusion models complete this discussion. |
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