α-times integrated semigroups (α ∈ ℝ+)

Journal of Mathematical Analysis and Applications

Volumn 210, Issue 2, 1997, Pages 790-803

  Mijatovíc, Milorad ^a   Pilipovíc, Stevan ^a   Vajzović, Fikret ^b  

^a UNIVERSITY OF NOVI SAD   (Serbia)

^b UNIVERSITY OF SARAJEVO   (Bosnia and Herzegovina)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; MATHEMATICAL TECHNIQUES; NUMBER THEORY;

INTEGRATED EXPONENTIALLY BOUNDED SEMIGROUP;

NUMERICAL ANALYSIS;

EID: 0031152580     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5436     Document Type: Article

References (10)

1. 1. W. Arendt, Resolvent positive operators and integrated semigroups, Proc. London Math. Soc. (3) 54 (1987), 321-349.
2. 2. W. Arendt, Vector valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327-352.
3. 3. R. Beals, On the abstract Cauchy problem, J. Funct. Anal. 10 (1972), 281-299.
4. 4. E. Hille and R. S. Philips, Functional analysis and semigroups, in Amer. Math. Soc. Colloq. Publ. Vol. 31, Amer. Math. Soc., Providence, Rhode Island, 1957.
5. 5. H. Kellermann and M. Hieber, Integrated semigroups, J. Funct. Anal. 84 (1989), 160-180.
6. 6. G. Lumer, Evolution equations: Solutions for irregular evolution problems via generalized initial values, applications to periodic shocks models, Ann. Univ. Sarav. 5, No. 1 (1994).
7. 7. F. Neubrander, Integrated semigroups and their applications to the abstract Cauchy problem, Pacific J. Math. 135 (1988), 111-155.
8. 8. A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equations," Springer-Verlag, Berlin/New York, 1983.
9. 9. H. Thieme, Integrated semigroups and integrated solutions to abstract Cauchy problems, J. Math. Anal. Appl. 152 (1990), 416-447.
10. 10. V. S. Vladimirov, "Generalized Functions in Mathematical Physics," Mir, Moscow, 1979.