- Tytuł:
- Existence and regularity of solutions for hyperbolic functional differential problems
- Autorzy:
- Kamont, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/255366.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
functional differential equations
weak solutions
Haar pyramid
differentiability with respect to initial functions - Opis:
- A generalized Cauchy problem for quasilinear hyperbolic functional differential systems is considered. A theorem on the local existence of weak solutions is proved. The initial problem is transformed into a system of functional integral equations for an unknown function and for their partial derivatives with respect to spatial variables. The existence of solutions for this system is proved by using a method of successive approximations. We show a theorem on the differentiability of solutions with respect to initial functions which is the main result of the paper.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 2; 217-242
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł