Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
37-45
Opis fizyczny
Daty
wydano
1996
otrzymano
1994-07-18
Twórcy
autor
- 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
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