Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblMawhin, Jean. Contractive mappings and periodically perturbed conservative systems. Archivum mathematicum, Tome 12 (1976) no. 2, pp. 67-73. http://geodesic.mathdoc.fr/item/ARM_1976_12_2_a1/
@article{ARM_1976_12_2_a1,
author = {Mawhin, Jean},
title = {Contractive mappings and periodically perturbed conservative systems},
journal = {Archivum mathematicum},
pages = {67--73},
year = {1976},
volume = {12},
number = {2},
mrnumber = {0437858},
zbl = {0353.47034},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1976_12_2_a1/}
}
[1] Sh. Ahmad: An existence theorem for periodically perturbed conservative systems. Michigan Math. J. 20 (1973) 385-392. | MR | Zbl
[2] S. Banach: Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fundam. Math. 3 (1922) 133-181.
[3] L. Cesari: Alternative methods in nonlinear analysis. Proc. Int. Conf. Differential Equations, Los Angeles, Sept. 74, Academic Press, 1975, 95-148. | MR | Zbl
[4] C. L. Dolph: Non-linear integral equations of the Hammerstein type. Trans. Amer. Math. Soc. 66 (1949) 289-307. | MR
[5] H. Ehrmann : On implicit function theorems and the existence of solutions of non-linear equations. L'Enseignement Math. 9 (1963) 129-176. | MR | Zbl
[6] H. Ehrmann, H. E. Lahmann: Anwendungen des Schauderschen Fixpunktsatzes auf gewisse nichtlineare Integralgleichungen. L'Enseignement Math. 11 (1965) 267-280. | MR | Zbl
[7] M. Golomb: Zur Theorie der nichtlinearen Integralgleichungen, Integralgleichungssysteme und allgemeinen Funktionalgleichungen. Math. Z. 39 (1935) 45-75. | MR
[8] J. K. Hale: Applications of alternative problems. Brown Univ. Lecture Notes 71-1, Providence, RI, 1971.
[9] A. Hammerstein: Nichtlineare Integralgleichungen nebst Anwendungen. Acta Math. 54 (1930) 117-176. | MR
[10] R. Kannan: Periodically perturbed conservative systems. J. Differential Equations, 16 (1974) 506-514. | MR | Zbl
[11] T. Kato: Perturbation theory for linear operators. Springer, Berlin, 1966. | Zbl
[12] I. Kolodner: Equations of Hammerstein type in Hilbert spaces. J. Math. Mech. 13 (1964) 701-750. | MR | Zbl
[13] A. C. Lazer, D. A. Sanchez: On periodically perturbed conservative systems. Michigan Math. J. 16 (1969) 193-200. | MR | Zbl
[14] A. C. Lazer: Application of a lemma on bilinear forms to a problem in nonlinear oscillations. Proc. Amer. Math. Soc. 33 (1972) 89-94. | MR | Zbl
[15] D. E. Leach: On Poincaré's perturbation theorem and a theorem of W. S. Loud. J. Differential Equations 7 (1970) 34-53. | MR | Zbl
[16] W. S. Loud: Periodic solutions of nonlinear differential equations of Duffing type. Proc. U.S.-Japan Semin. on Diff. and Funct. Equations, Benjamin, New York, 1967, 199-224. | MR | Zbl
[17] N. Rouche, J. Mawhin: Equations différentielles ordinaires. vol. 1, Masson, Paris, 1973. | MR | Zbl
[18] M. M. Vainberg: Variational method and method of monotone operators in the theory of nonlinear equations. Wiley, New York, 1973. | MR | Zbl