Causal relations in support of implicit evolution equations

Causal relations in support of implicit evolution equations

Автор: Sauer N., Banasiak J., Wha-Suck Lee

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Математическое моделирование

Статья в выпуске: 3 т.11, 2018 года.

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This is a brief exposition of dynamic systems approaches that form the basis for linear implicit evolution equations with some indication of interesting applications. Examples in infinite-dimensional dissipative systems and stochastic processes illustrate the fundamental notions underlying the use of double families of evolution equations intertwined by the empathy relation. Kisynski's equivalent formulation of the Hille-Yosida theorem highlights the essential differences between semigroup theory and the theory of empathy. The notion of K-bounded semigroups, a more direct approach to implicit equations, and related to empathy in a different way, is included in the survey.

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Implicit equations, empathy theory, semigroups

Короткий адрес: https://sciup.org/147232902

IDR: 147232902   |   DOI: 10.14529/mmp180307

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