Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The purpose of this paper is to give theorems on continuity and differentiability with respect to (h,t) of the solution of the initial value problem du/dt = A(h,t)u + f(h,t), u(0) = u₀(h) with parameter $h ∈ Ω ⊂ ℝ^m$ in the "hyperbolic" case.
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
47-60
Opis fizyczny
Daty
wydano
1996
otrzymano
1994-12-08
poprawiono
1995-04-27
Twórcy
autor
- Institute of Mathematics, Technical University of Kraków, Warszawska 24, 31-155 Kraków, Poland
autor
- Institute of Mathematics, Technical University of Kraków, Warszawska 24, 31-155 Kraków, Poland
Bibliografia
- [1] T. Kato, Perturbation Theory for Linear Operators, Springer, 1980.
- [2] S. G. Krein, Linear Differential Equations in Banach Space, Transl. Amer. Math. Soc. 29, Providence, R.I., 1971.
- [3] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983.
- [4] H. Tanabe, Equations of Evolution, Pitman, 1979.
- [5] T. Winiarska, Parabolic equations with coefficients depending on t and parameters, Ann. Polon. Math. 51 (1990), 325-339.
- [6] T. Winiarska, Regularity of solutions of parabolic equations with coefficients depending on t and parameters, Ann. Polon. Math. 56 (1992), 311-317.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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