| Title:
|
A representation theorem for time-scale functionals (English) |
| Author:
|
Leitman, Marshall J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
13 |
| Issue:
|
3 |
| Year:
|
1972 |
| Pages:
|
493-502 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28A10 |
| MSC:
|
28A25 |
| MSC:
|
46E30 |
| MSC:
|
46N05 |
| MSC:
|
46N99 |
| MSC:
|
74-00 |
| idZBL:
|
Zbl 0239.28005 |
| idMR:
|
MR0317030 |
| . |
| Date available:
|
2008-06-05T20:39:26Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105436 |
| . |
| Reference:
|
[1] COLEMAN B. D., MIZEL V. J.: Norms and semi-groups in the theory of fading memory.Archive for Rational Mechanics and Analysis, 23 (1966), 87. Zbl 0146.46104, MR 0210343 |
| Reference:
|
[2] CROCHET M. J., P. M. NAGHDI: A class of simple solids with fading memory.International Journal of Engineering Science 7 (1969), 1173-1198. Zbl 0185.53507, MR 0260253 |
| Reference:
|
[3] CROCHET M. J., P. M. NAGHDI: On thermorheologically simple solids.Proceedings of the I. U. T. A. M. Symposium, East Kilbride, June 5-28 (1968), Springer Verlag, Wien 1969. |
| Reference:
|
[4] CROCHET M. J., M. J. LEITMAN: On time-scale functional and thermorheologically simple materials.Bell Telephone Laboratories, Technical report, Whippany, N. J. 1969. |
| Reference:
|
[5] HALMOS P. R.: Measure Theory.D. Van Nostrand, Princeton, N. J., 1950. Zbl 0040.16802, MR 0033869 |
| Reference:
|
[6] LEITMAN M. J., V. J. MIZEL: On linear hereditary laws.Archive for Rational Mechanics and Analysis 38, 1 (1970), 46-58. Zbl 0201.27703, MR 0260254 |
| Reference:
|
[7] MARTIN A. D., V. J. MIZEL: A representation theorem for certain non-linear functionals.Archive for Rational Mechanics and Analysis, 15 (1964), 353. MR 0162131 |
| Reference:
|
[8] MIZEL V. J., K. SUNDARESAN: Representation of additive and bi-additive functionals.Archive for Rational Mechanics and Analysis, 30 (1968), 102. MR 0227757 |
| Reference:
|
[9] MORLAND L. W., E. H. LEE: Stress analysis for linear viscoelastic materials with temperature variation.Transactions: The Society of Rheology, Vol. 4 (1960). MR 0127027 |
| Reference:
|
[10] MUKI R., E. STERNBERG: On transient thermal stresses in viscoelastic materials with temperature dependent properties.Journal of Applied Mechanics, 28 (1961), 193. MR 0127035 |
| . |
