کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840885 908493 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-point b.v.p. for multivalued equations with weakly regular r.h.s.
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Two-point b.v.p. for multivalued equations with weakly regular r.h.s.
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 11, July 2011, Pages 3657–3670
نویسندگان
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