Strongly continuous integrated C-cosine operator functions

Shen Wang; Zhen Huang

Studia Mathematica (1997)

  • Volume: 126, Issue: 3, page 273-289
  • ISSN: 0039-3223

Abstract

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We extend some recent results for regularized semigroups to strongly continuous n-times integrated C-cosine operator functions. Several equivalent conditions for the existence and uniqueness of solutions of (ACP 2 ) are also presented.

How to cite

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Wang, Shen, and Huang, Zhen. "Strongly continuous integrated C-cosine operator functions." Studia Mathematica 126.3 (1997): 273-289. <http://eudml.org/doc/216455>.

@article{Wang1997,
abstract = {We extend some recent results for regularized semigroups to strongly continuous n-times integrated C-cosine operator functions. Several equivalent conditions for the existence and uniqueness of solutions of (ACP$_2$) are also presented.},
author = {Wang, Shen, Huang, Zhen},
journal = {Studia Mathematica},
keywords = {regularized semigroups; strongly continuous -times integrated -cosine operator functions; abstract Cauchy problem},
language = {eng},
number = {3},
pages = {273-289},
title = {Strongly continuous integrated C-cosine operator functions},
url = {http://eudml.org/doc/216455},
volume = {126},
year = {1997},
}

TY - JOUR
AU - Wang, Shen
AU - Huang, Zhen
TI - Strongly continuous integrated C-cosine operator functions
JO - Studia Mathematica
PY - 1997
VL - 126
IS - 3
SP - 273
EP - 289
AB - We extend some recent results for regularized semigroups to strongly continuous n-times integrated C-cosine operator functions. Several equivalent conditions for the existence and uniqueness of solutions of (ACP$_2$) are also presented.
LA - eng
KW - regularized semigroups; strongly continuous -times integrated -cosine operator functions; abstract Cauchy problem
UR - http://eudml.org/doc/216455
ER -

References

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  7. [L-S2] Y.-C. Li and S.-Y. Shaw, Integrated C-cosine functions and the abstract Cauchy problem, preprint. 
  8. [S-L1] S.-Y. Shaw and Y.-C. Li, On N-times integrated C-cosine functions, in: Evolution Equations, Marcel Dekker, New York, 1994, 393-406. Zbl0935.47032
  9. [S-L2] S.-Y. Shaw and Y.-C. Li, N-times integrated C-semigroups and the abstract Cauchy problem, Taiwanese J. Math. 1 (1997), 75-102. Zbl0892.47042
  10. [So] M. Sova, Cosine operator functions, Rozprawy Mat. 49 (1966), 1-47. 
  11. [W-Wa] H. Wang and S. Wang, C-cosine operator functions and the applications to the second order abstract Cauchy problem, in: Functional Analysis in China, Kluwer Acad. Publ., Dordrecht, 1996, 333-350. Zbl0908.47039
  12. [Wa] S. Wang, Mild integrated C-existence families, Studia Math. 112 (1995), 251-266. Zbl0819.47054

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