Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840885 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 14 Pages |
A two-point boundary value problem associated to a semilinear multivalued evolution equation is investigated, in reflexive and separable Banach spaces. To this aim, an original method is proposed based on the use of weak topologies and on a suitable continuation principle in Fréchet spaces. Lyapunov-like functions are introduced, for proving the required transversality condition. The linear part can also depend on the state variable xx and the discussion comprises the cases of a nonlinearity with sublinear growth in xx or of a noncompact valued one. Some applications are given, to the study of periodic and Floquet boundary value problems of partial integro-differential equations and inclusions appearing in dispersal population models. Comparisons are included, with recent related achievements.