| Title:
|
Antitone operators and ordinary differential equations (English) |
| Author:
|
Šeda, Valter |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1981 |
| Pages:
|
531-553 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A10 |
| MSC:
|
34A40 |
| MSC:
|
47H07 |
| idZBL:
|
Zbl 0491.34022 |
| idMR:
|
MR631601 |
| DOI:
|
10.21136/CMJ.1981.101772 |
| . |
| Date available:
|
2008-06-09T14:46:03Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101772 |
| . |
| Reference:
|
[1] Amann H.: Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces.Siam Review 18 (1976), 620-709. Zbl 0345.47044, MR 0415432, 10.1137/1018114 |
| Reference:
|
[2] Amann H.: Supersolutions, monotone iterations, and stability.J. Differential Equations 21 (1976), 363-377. Zbl 0319.35039, MR 0407451, 10.1016/0022-0396(76)90126-1 |
| Reference:
|
[3] Bellman R.: Monotone operators and nonlinear equations.J. Math. Anal. Appl. 67 (1979), 158-162. Zbl 0418.47027, MR 0524469, 10.1016/0022-247X(79)90013-1 |
| Reference:
|
[4] Coddington E. A., Levinson N.: Theory of ordinary differential equations.Mc Graw-Hill Book Co., Inc., New York-Toronto-London 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[5] Erbe L.: Boundary value problems for ordinary differential equations.Rocky Mountain J. Mathematics 1 (1971), 709-729. Zbl 0242.34022, MR 0287072, 10.1216/RMJ-1971-1-4-709 |
| Reference:
|
[6] Хохряков A. Я.: К вопросу о периодической краевой задаче для дифференциального уравнения третьего порядка.Матем. сб. 63 (105) (1964), 639-645. Zbl 1117.65300, MR 0165197 |
| Reference:
|
[7] Красносельский М. А., Вайникко Г. М., Забрейко П. П., Рутицкий Я. Б., Стеценко В. Й.: Приближенное решение операторных уравнений.Издат. Наука, Москва, 1969. Zbl 1231.90028 |
| Reference:
|
[8] Левин А. Ю.: Неосцилляция решений уравнения $x\sp{(n)}+p\sb{1}(t)x\sp{(n-1)}+\cdots +p\sb{n} (t)x=0$.Успехи Мат. Наук 24 (1969), 44-96. |
| Reference:
|
[9] Šeda V.: On an application of the Stone theorem in the theory of differential equations.Čas. Pěst. Mat. 97 (1972), 183-189. MR 0348188 |
| Reference:
|
[10] Šeda V.: Two remarks on boundary value problems for ordinary differential equations.J. Differential Equations 26 (1977), 278-290. MR 0460771, 10.1016/0022-0396(77)90195-4 |
| Reference:
|
[11] Švec M.: Existence of periodic solutions of differential equations of second order.G. E. O. Giacaglia, Periodic Orbits, Stability and Resonances, Reidel Publ. Co., Dordrecht 1970. MR 0276554, 10.1007/978-94-010-3323-7_15 |
| Reference:
|
[12] Tarski A.: A lattice-theoretical fixpoint theorem and its applications.Pacific J. Math. 5 (1955), 285-309. Zbl 0064.26004, MR 0074376, 10.2140/pjm.1955.5.285 |
| Reference:
|
[13] Tricomi F. G.: Integral equations.(Russian translation). Издат. Иностр. Лит., Москва 1960. Zbl 0092.10803, MR 0123160 |
| . |
