Geodesic
The effect of vanishing of almost periodic solutions for a nonlinear diffusion equation with quasiperiodic coefficients
Izvestiya. Mathematics, Tome 21 (1983) no. 3, pp. 601-608 
I. N. Blinov. The effect of vanishing of almost periodic solutions for a nonlinear diffusion equation with quasiperiodic coefficients. Izvestiya. Mathematics, Tome 21 (1983) no. 3, pp. 601-608. http://geodesic.mathdoc.fr/item/IM2_1983_21_3_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper it is shown that there exists first order nonlinear differential equations for which the presence or absence of almost periodic solutions depends on the arithmetic nature of a parameter appearing analytically in the free term. Bibliography: 9 titles.

[1] Blinov I. N., “Ob odnom klasse ravnomernykh pochti-periodicheskikh funktsii”, Izv. vuzov. Matematika, 1978, no. 2(189), 8–14 | MR | Zbl

[2] Blinov I. N., Sistemy lineinykh differentsialnykh uravnenii s pochti-periodicheskimi koeffitsientami, Doktorskaya dissertatsiya, Leningrad, 1967

[3] Kolmogorov A. N., “O sokhranenii uslovno periodicheskikh dvizhenii pri malom izmenenii funktsii Gamiltona”, Dokl. AN SSSR, 98:4 (1954), 527–530 | MR | Zbl

[4] Gelman A. E., “O privodimosti sistem s kvaziperiodicheskoi matritsei”, Differents. uravneniya, 1:3 (1965), 283–294 | MR

[5] Blinov I. N., “Ob odnom iteratsionnom protsesse Nyutona”, Izv. AN SSSR. Ser. matem., 33:1 (1969), 3–14 | MR | Zbl

[6] Blinov I. N., “O probleme privodimosti sistem lineinykh differentsialnykh uravnenii s kvaziperiodicheskimi koeffitsientami”, Izv. AN SSSR. Ser. matem., 31:2 (1967), 349–354 | MR | Zbl

[7] Blinov I. N., “Ob odnoi kachestvennoi kharakteristike klassa privodimykh sistem s kvaziperiodicheskimi koeffitsentami”, Differentsialnye uravneniya, XI:6 (1975), 954–960 | MR

[8] Khinchin A. Ya., Tsepnye drobi, GIFML, M, 1961 | MR

[9] Levitan B. M., Pochti-periodicheskie funktsii, GITTL, M., 1953