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Volumn 166, Issue 2, 2005, Pages 171-180

Almost-distribution cosine functions and integrated cosine functions

Author keywords

Cosine convolution product; Cosine transform; Fractional calculus; Integrated cosine function

Indexed keywords


EID: 15844391670     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm166-2-3     Document Type: Article
Times cited : (11)

References (12)
  • 1
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    • W. Arendt and H. Kellerman, Integrated solutions of Volterra integrodifferential equations and applications, in: Integrodifferential Equations (Trento, 1987), G. Da Prato and M. Iannelli (eds.), Pitman Res. Notes Math. Ser. 190, Longman Sci. Tech., Harlow, 1987, 21-51.
    • (1987) Pitman Res. Notes Math. Ser. , vol.190 , pp. 21-51
    • Arendt, W.1    Kellerman, H.2
  • 3
    • 51249166047 scopus 로고
    • On generators of integrated C-semigroups and C-cosine functions
    • Y.-C. Li and S.-Y. Shaw, On generators of integrated C-semigroups and C-cosine functions, Semigroup Forum 47 (1993), 29-35.
    • (1993) Semigroup Forum , vol.47 , pp. 29-35
    • Li, Y.-C.1    Shaw, S.-Y.2
  • 4
    • 0000184024 scopus 로고
    • Semi-groupes distributions
    • J.-L. Lions, Semi-groupes distributions, Portugal. Math. 19 (1960), 141-164.
    • (1960) Portugal. Math. , vol.19 , pp. 141-164
    • Lions, J.-L.1
  • 5
    • 51249173266 scopus 로고
    • On the functional-calculus of non-quasianalytic groups of operators and cosine functions
    • E. Marschall, On the functional-calculus of non-quasianalytic groups of operators and cosine functions, Rend. Circ. Mat. Palermo 35 (1986), 58-81.
    • (1986) Rend. Circ. Mat. Palermo , vol.35 , pp. 58-81
    • Marschall, E.1
  • 7
    • 0036109822 scopus 로고    scopus 로고
    • α-Times integrated semigroups and fractional derivation
    • _, α-Times integrated semigroups and fractional derivation, Forum Math. 14 (2002), 23-46.
    • (2002) Forum Math. , vol.14 , pp. 23-46
  • 9
    • 0001817529 scopus 로고
    • On N-times integrated C-cosine functions
    • Evolution Equations, G. Ferreyra et al. (eds.), Dekker, New York
    • S.-Y. Shaw and Y.-C. Li, On N-times integrated C-cosine functions, in: Evolution Equations, G. Ferreyra et al. (eds.), Lecture Notes in Pure and Appl. Math. 168, Dekker, New York, 1995, 393-406.
    • (1995) Lecture Notes in Pure and Appl. Math. , vol.168 , pp. 393-406
    • Shaw, S.-Y.1    Li, Y.-C.2
  • 11
    • 0003294457 scopus 로고    scopus 로고
    • The cauchy problem for higher-order abstract differential equations
    • Springer, Berlin
    • T. J. Xiao and J. Liang, The Cauchy Problem for Higher-Order Abstract Differential Equations, Lecture Notes in Math. 1701, Springer, Berlin, 1998.
    • (1998) Lecture Notes in Math. , vol.1701
    • Xiao, T.J.1    Liang, J.2
  • 12
    • 15844364124 scopus 로고    scopus 로고
    • α-Times integrated cosine function
    • Recent Advances in Differential Equations, Addison-Wesley and Longman
    • G. Yang, α-Times integrated cosine function, in: Recent Advances in Differential Equations, Pitman Res. Notes in Math. Ser. 386, Addison-Wesley and Longman, 1998, 199-212.
    • (1998) Pitman Res. Notes in Math. Ser. , vol.386 , pp. 199-212
    • Yang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.