Temat: differentiability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the quasilinear Cauchy problem for a hyperbolic functional differential equation
Autorzy:: Puźniakowska-Gałuch, E.
Powiązania:: https://bibliotekanauki.pl/articles/254975.pdf
Data publikacji:: 2015
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: functional differential equations
Haar pyramid
differentiability of solutions
Fredholm type of equation
Opis:: The Cauchy problem for hyperbolic functional differential equations is considered. Volterra and Fredholm dependence are considered. A theorem on the local existence of generalized solutions defined on the Haar pyramid is proved. A result on differentiability of a solution with respect to initial data is proved.
Źródło:: Opuscula Mathematica; 2015, 35, 6; 915-933
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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