In: Mathematica Slovaca, vol. 70, no. 2
Hana Machů
Details:
Year, pages: 2020, 401 - 416
Keywords:
Dirichlet problem, Filippov solution, Green’s functions, growth restrictions, Kakutani-Ky Fan fixed point theorem, solution estimates
About article:
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.
How to cite:
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
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 10. 3. 2020