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自动化与信息科学期刊
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v40.i9.10
pages 1-19

Periodic Solutions of Evolutionary Equations in the Class of Nonreflexive Banach Spaces

Pavel O. Kasyanov
Kiev National Taras Shevchenko University, Ukraine
Valeriy S. Melnik
Institute of Applied System Analysis of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev
Sperantsa Toscano
Salerno University, Italy
Nina V. Zadoyanchuk
Kiev National Taras Shevchenko University, Ukraine

ABSTRACT

We consider the differential-operator equations with nonlinear mappings of the wλ0-pseudomonotone type in the class of nonreflexive Banach spaces. On the basis of the Dubinsky method the theorem about the existence of a periodic solution is proved. A priori estimates of solutions are obtained.