Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
A new approach is developed for the solvability of nonlocal problems
in Hilbert spaces associated to nonlinear differential equations.
Periodic, anti-periodic, mean value and multipoint conditions
are included in this study.
The investigation is based on a joint combination of the degree theory with the approximation
solvability method. Hartman-type inequalities are involved.
No compactness or condensivity conditions on the nonlinearities are assumed.
Applications to the study of integro-differential equations and systems of integrodifferential
equations are showed. The method is then extended to a multivalued setting and a feedback control problem is discussed.