Literature Cited
V. P. Skripnik, “Singular systems and a small parameter in the highest derivative,” Mat. Sb.,65, No. 3, 338–356 (1964).
V. P. Skripnik, “Singular systems and a small parameter in the derivative,” Differents. Uravn.,16, No. 3, 454–461 (1980).
A. N. Tikhonov, “Systems containing small parameters in the higher derivatives,” Mat. Sb.,31, No. 3, 575–586 (1952).
A. B. Vasil'eva and V. F. Butuzov, Asymptotic Expansions of Solutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).
I. S. Gradshtein, “Application of the stability theory of A. M. Lyapunov to the theory of differential equations with small multipliers in the derivatives,” Dokl. Akad. Nauk SSSR,82, No. 1, 5–8 (1952).
S. G. Krein and K. I. Chernyshov, “The behavior of solutions of general linear systems meromorphically dependent on a small parameter,” Dokl. Akad. Nauk SSSR,260, No. 3, 530–535 (1981).
Additional information
Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 6, pp. 153–157, November–December, 1984.
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Skripnik, V.P. Mean convergence of solutions of systems with a small matrix attached to the derivative. Sib Math J 25, 955–958 (1984). https://doi.org/10.1007/BF00968951
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DOI: https://doi.org/10.1007/BF00968951