Vista site - Almost periodic solutions of evolution equations associated with C-semigroups; an approach via implicit difference equations

Almost periodic solutions of evolution equations associated with C-semigroups; an approach via implicit difference equations [Các nghiệm gần tuần hoàn của các phương trình tiến hoá liên kết với các nửa nhóm-C: Một cách tiếp cận thông qua các phương trình vi phân ẩn] / Nguyễn Minh Mẫn // Vietnam Journal of Mathematics . -2005. -Vol 33. -No 1. -p. 63-72. -(eng). -ISSN 0866-7179.
Classification (rubrics): 27.31
Key words: Evolution equations; Periodic solution; C-Semigroups;

The paper is concerned with the existence of almost periodic mild solutions to evolution equations of the form u(t) = Au(t) + f(t) (*), where A generates a C-semigroup and f is almost periodic. The author investigate the existence of almost periodic solutions of (*) by means of associated implicit difference equations which are well-studied in recent works on the subject. As results we obtain various sufficient conditions for the existence of almost periodic solutions to (*) which extend previous ones to a more general class of ill-posed equations involving C.semigroups. The paper is supported by a research grant of the Vietnam National University, Hanoi.

Location: TTKHCNQG, CLv 2394

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