Geodesic
Spectra of total and vector frequencies of third-order linear differential equations
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 252-269 Cet article a éte moissonné depuis la source Math-Net.Ru

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For any positive integer $N$, we construct a linear third-order differential equation with periodic coefficients whose nontrivial solutions have at least $N$ different total (vector) frequencies. Moreover, we construct a linear third-order differential equation with bounded variable coefficients whose nontrivial solutions have countably many total (vector) frequencies. 
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A. Kh. Stash. Spectra of total and vector frequencies of third-order linear differential equations. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 252-269. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a14/

[1] Sergeev I. N., “Opredelenie i svoistva kharakteristicheskikh chastot lineinogo uravneniya”, Tr. seminara im. I. G. Petrovskogo, 25, 2006, 249–294 | Zbl

[2] Sergeev I. N., “Svoistva kharakteristicheskikh chastot lineinykh uravnenii proizvolnogo poryadka”, Tr. seminara im. I. G. Petrovskogo, 29, 2013, 414–442

[3] Sergeev I. N., “Opredelenie polnykh chastot reshenii lineinogo uravneniya”, Differents. uravneniya, 44:11 (2008), 1577

[4] Burlakov D. S., Tsoi S. V., “Ravenstvo polnoi i vektornoi chastot reshenii lineinoi avtonomnoi sistemy”, Differents. uravneniya, 47:11 (2011), 1662–1663

[5] Stash A. Kh., “Spektry polnykh i vektornykh chastot lineinykh differentsialnykh uravnenii tretego poryadka”, Differents. uravneniya, 48:6 (2012), 908

[6] Stash A. Kh., “O mnozhestve znachenii polnykh chastot reshenii lineinogo uravneniya”, Differents. uravneniya, 47:11 (2011), 1665

[7] Sergeev I. N., “Ob upravlenii resheniyami lineinogo differentsialnogo uravneniya”, Vestn. Mosk. un-ta. Ser. 1. Matematika, mekhanika, 2009, no. 3, 25–33 | Zbl