2017年9月
WELL-POSEDNESS AND FLOW INVARIANCE FOR SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS GOVERNED BY NON-DENSELY DEFINED OPERATORS
DIFFERENTIAL AND INTEGRAL EQUATIONS
- ,
- 巻
- 30
- 号
- 9-10
- 開始ページ
- 695
- 終了ページ
- 734
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- KHAYYAM PUBL CO INC
The well-posedness and the flow invariance are studied for a semilinear functional differential equation governed by a family of non densely defined operators in a general Banach space. The notion of mild solutions is introduced through a new type of variation of constants formula and the well-posedness is established under a semilinear stability condition with respect to a metric-like functional and a subtangential condition. The abstract result is applied to a size-structured model with birth delay.
- リンク情報
- ID情報
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- ISSN : 0893-4983
- Web of Science ID : WOS:000406354100003