A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity
Mathematica slovaca, Tome 43 (1993) no. 2, pp. 149-170
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Classification : 34B15
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Pinda, Ľudovít. A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity. Mathematica slovaca, Tome 43 (1993) no. 2, pp. 149-170. http://geodesic.mathdoc.fr/item/MASLO_1993_43_2_a3/

[1] DEIMLING K.: Nichtlineare Gleichungen and Abbildungsgrade. Springer-Verlag, Berlin-Heidelberg-New York, 1974. | MR

[2] DING S. H., MAWHIN J.: A multiplicity result for periodic solutions of higher order ordinary differential equations. Differential Integral Equations 1 (1988), 31-39. | MR | Zbl

[3] GREGUŠ M., ŠVEC M., ŠEDA V.: Ordinary Differential Equations. (Slovak), Alfa, Bratislava, 1985.

[4] LALOLIX B., MAWHIN J.: Coincidence index and multiplicity. Trans. Amer. Math. Soc. 217 (1976), 143-162. | MR

[5] LEFTON L.: Existence of small solutions to a resonant boundary value problem with large nonlineanty. J. Differential Equations 85 (1990), 171-185. | MR

[6] REKTORYS K. ETAL.: Survey of Applied Mathematics. (Czech), SNTL - Nakladatelství technické literatury, Praha, 1963. | MR

[7] SCHIJUR J. D.: Perturbation at resonance for a fourth order ordinary differential equation. J. Math. Anal. Appl. 65 (1978), 20-25. | MR

[8] ŠEDA V.: Some remarks to coincidence theory. Czechoslovak Math. J. 38 (113) (1988), 554-572. | MR | Zbl