کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840885 | 908493 | 2011 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Two-point b.v.p. for multivalued equations with weakly regular r.h.s. Two-point b.v.p. for multivalued equations with weakly regular r.h.s.](/preview/png/840885.png)
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.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 11, July 2011, Pages 3657–3670