PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
1996 | 64 | 1 | 37-45
Tytuł artykułu

Generalized telegraph equation and the Sova-Kurtz version of the Trotter-Kato theorem

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Sova-Kurtz approximation theorem for semigroups is applied to prove convergence of solutions of the telegraph equation with small parameter. Convergence of the solutions of the diffusion equation with varying boundary conditions is also considered.
Rocznik
Tom
64
Numer
1
Strony
37-45
Opis fizyczny
Daty
wydano
1996
otrzymano
1994-07-18
Twórcy
  • Department of Mathematics, Technical University of Lublin, Nadbystrzycka 38a, 20-618 Lublin, Poland
Bibliografia
  • [1] A. Bobrowski, Degenerate convergence of semigroups, Semigroup Forum 49 (1994), 303-327.
  • [2] A. Bobrowski, Examples of pointwise convergence of semigroups, Ann. Univ. Mariae Curie-Skłodowska Sect. A 49 (1995), to appear.
  • [3] E. B. Davies, One-Parameter Semigroups, Academic Press, London, 1980.
  • [4] S. N. Ethier and T. G. Kurtz, Markov Processes. Characterization and Convergence, Wiley Ser. Probab. Math. Statist., Wiley, New York, 1986.
  • [5] H. O. Fattorini, Ordinary differential equations in topological vector spaces I, J. Differential Equations 5 (1969), 72-105.
  • [6] H. O. Fattorini, Ordinary differential equations in topological vector spaces II, J. Differential Equations 6 (1969), 50-70.
  • [7] H. O. Fattorini, The hyperbolic singular perturbation problem: an operator theoretic approach, J. Differential Equations 70 (1987), 1-41.
  • [8] J. A. Goldstein, Semigroups of Linear Operators and Applications, Oxford Math. Monographs, Oxford Univ. Press, 1985.
  • [9] J. Kisyński, On cosine operator functions and one-parameter groups of operators, Studia Math. 44 (1972), 93-105.
  • [10] J. Kisyński, On the connection between cosine operator functions and one parameter semi-groups and groups of operators, Wydawnictwo U.W., 1972, 1-9.
  • [11] T. G. Kurtz, Extensions of Trotter's operator semigroup approximation theorems, J. Funct. Anal. 3 (1969), 354-375.
  • [12] R. S. Phillips, Perturbation theory for semi-groups of operators, Trans. Amer. Math. Soc. 74 (1953), 199-221.
  • [13] M. Sova, Cosine operator functions, Dissertationes Math. 49 (1966).
  • [14] M. Sova, Convergence d'opérations linéaires non bornées, Rev. Roumaine Math. Pures Appl. 12 (1967), 373-389.
  • [15] H. F. Trotter, Approximation of semi-groups of operators, Pacific J. Math. 8 (1958), 887-919.
  • [16] K. Yosida, Functional Analysis, Springer, Berlin, 1968.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-apmv64z1p37bwm
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.