FOURIER PROBLEM FOR WEAKLY NONLINEAR EVOLUTION INCLUSIONS WITH FUNCTIONALS
| Autor: | Iryna Skira, Mykola Bokalo |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Control and Optimization
lcsh:Mathematics Applied Mathematics Mathematical analysis Fourier problem lcsh:QA1-939 Set (abstract data type) symbols.namesake Fourier transform Modeling and Simulation symbols problem without initial condition Time moment Nonlinear evolution evolution inclusion subdifferential of functional Mathematical Physics Mathematics |
| Zdroj: | Journal of Optimization, Differential Equations and Their Applications, Vol 27, Iss 1, Pp 3-22 (2019) |
| ISSN: | 2663-6824 2617-0108 |
| DOI: | 10.15421/141901 |
| Popis: | The Fourier problem or, in other words, the problem without initial conditions for evolution equations and inclusions arise in modeling different nonstationary processes in nature, that started a long time ago and initial conditions do not affect on them in the actual time moment. The Fourier problem for evolution variational inequalities (inclusions) with functionals is considered in this paper. The conditions for existence and uniqueness of weak solutions of the problem are set. Also the estimates of weak solutions are obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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