Majorant Method for the Evolution Differential Equations in Sequence Spaces


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Abstract

We consider evolution differential equations in sequence spaces and construct a version of the majorant function method to prove existence theorems. We also develop a theory of lower estimates. This theory allows us to study instability and blowups. Applications to stability theory are discussed.

About the authors

O. Zubelevich

Lomonosov Moscow State University

Author for correspondence.
Email: ozubel@yandex.ru
Russian Federation, Moscow

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