| Title:
|
Remark to the comparison of solution properties of Love's equation with those of wave equation (English) |
| Author:
|
Radochová, Věra |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
23 |
| Issue:
|
3 |
| Year:
|
1978 |
| Pages:
|
199-207 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper some solution properties of the Love's equation are compared with those of the classical wave equation for a certain class of boundary conditions. The method of small parameter is used. (English) |
| Keyword:
|
Love’s equation |
| Keyword:
|
boundary value conditions |
| Keyword:
|
small parameters |
| Keyword:
|
wave equation |
| MSC:
|
35B40 |
| MSC:
|
35L05 |
| MSC:
|
35Q99 |
| MSC:
|
74K10 |
| idZBL:
|
Zbl 0407.35050 |
| idMR:
|
MR0492985 |
| DOI:
|
10.21136/AM.1978.103745 |
| . |
| Date available:
|
2008-05-20T18:09:30Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103745 |
| . |
| Reference:
|
[1] Petrovskij I. G.: Partial Differential Equations.Prague 1952 (in Czech). MR 0057425 |
| Reference:
|
[2] Love A. E. H.: A Treatise on the Mathematical Theory of Elasticity.Cambridge 1952. |
| Reference:
|
[3] Brepta R., Prokopec M.: Stress Waves and Shocks in Solids.Academia 1972 (in Czech), |
| Reference:
|
[4] Radochová V.: Das Iterationsverfahren für eine partielle Differentialgleichung vierter Ordnung.Arch. Math. (Brno) 1, IX, 1973, 1 - 8. MR 0350165 |
| Reference:
|
[5] Вишик M. И., Люстерник Л. А.: Регулярное вырождение и пограничный слой для линейных дифференциальных уравнений с малым параметром.Успехи мат. наук XII, 1957, 3-122. Zbl 0995.90594 |
| Reference:
|
[6] Levinson N.: The First Boundary Value Problem $\varepsilon \Delta u + A u_x + B u_y + C u = 0$ for Small $\varepsilon$.Ann. of Math. 51, No 2, 1950, 428-445. MR 0033433 |
| Reference:
|
[7] Kreith K.: Sturmian Theorems for Hyperbolic Equations.Proceedings of the Amer. Math. Soc. 22, 1969, 277-281. Zbl 0176.09304, MR 0244602 |
| . |
