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MR ZblŠeda, Valter. Antitone operators and ordinary differential equations. Czechoslovak Mathematical Journal, Tome 31 (1981) no. 4, pp. 531-553. doi: 10.21136/CMJ.1981.101772
@article{10_21136_CMJ_1981_101772,
author = {\v{S}eda, Valter},
title = {Antitone operators and ordinary differential equations},
journal = {Czechoslovak Mathematical Journal},
pages = {531--553},
year = {1981},
volume = {31},
number = {4},
doi = {10.21136/CMJ.1981.101772},
mrnumber = {631601},
zbl = {0491.34022},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101772/}
}
TY - JOUR AU - Šeda, Valter TI - Antitone operators and ordinary differential equations JO - Czechoslovak Mathematical Journal PY - 1981 SP - 531 EP - 553 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101772/ DO - 10.21136/CMJ.1981.101772 LA - en ID - 10_21136_CMJ_1981_101772 ER -
[1] Amann H.: Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. Siam Review 18 (1976), 620-709. | DOI | MR | Zbl
[2] Amann H.: Supersolutions, monotone iterations, and stability. J. Differential Equations 21 (1976), 363-377. | DOI | MR | Zbl
[3] Bellman R.: Monotone operators and nonlinear equations. J. Math. Anal. Appl. 67 (1979), 158-162. | DOI | MR | Zbl
[4] Coddington E. A., Levinson N.: Theory of ordinary differential equations. Mc Graw-Hill Book Co., Inc., New York-Toronto-London 1955. | MR | Zbl
[5] Erbe L.: Boundary value problems for ordinary differential equations. Rocky Mountain J. Mathematics 1 (1971), 709-729. | DOI | MR | Zbl
[6] Хохряков A. Я.: К вопросу о периодической краевой задаче для дифференциального уравнения третьего порядка. Матем. сб. 63 (105) (1964), 639-645. | MR | Zbl
[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
[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.
[9] Šeda V.: On an application of the Stone theorem in the theory of differential equations. Čas. Pěst. Mat. 97 (1972), 183-189. | MR
[10] Šeda V.: Two remarks on boundary value problems for ordinary differential equations. J. Differential Equations 26 (1977), 278-290. | DOI | MR
[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. | DOI | MR
[12] Tarski A.: A lattice-theoretical fixpoint theorem and its applications. Pacific J. Math. 5 (1955), 285-309. | DOI | MR | Zbl
[13] Tricomi F. G.: Integral equations. (Russian translation). Издат. Иностр. Лит., Москва 1960. | MR | Zbl
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