Filippov solutions of vector Dirichlet problems

In: Mathematica Slovaca, vol. 70, no. 2

Hana Machů

Detaily:

Rok, strany: 2020, 401 - 416

Kľúčové slová:

Dirichlet problem, Filippov solution, Green’s functions, growth restrictions, Kakutani-Ky Fan ﬁxed point theorem, solution estimates

DOI: https://doi.org/10.1515/ms-2017-0359

O článku:

If in the right-hand sides of given differential equations occur discontinuities in the state variables, then the natural notion of a solution is the one in the sense of Filippov. In our paper, we will consider this type of solutions for vector Dirichlet problems. The obtained theorems deal with the existence and localization of Filippov solutions, under effective growth restrictions. Two illustrative examples are supplied.

Ako citovať:

ISO 690:

Machů, H. 2020. Filippov solutions of vector Dirichlet problems. In Mathematica Slovaca, vol. 70, no.2, pp. 401-416. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0359

APA:

Machů, H. (2020). Filippov solutions of vector Dirichlet problems. Mathematica Slovaca, 70(2), 401-416. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0359

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 10. 3. 2020