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Asymptotics of solutions of a generalized Thomas-Fermi equation. (English) Zbl 0433.34041


MSC:

34E05 Asymptotic expansions of solutions to ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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References:

[1] Bellman, R., Stability Theory of Differential Equations (1953), McGraw-Hill: McGraw-Hill New York · Zbl 0052.31505
[2] Karamata, J., Sur un mode de croissance régulière des fonctions, Mat. (Cluj), 4, 38-53 (1930) · JFM 56.0907.01
[3] Avakumović, V. G., Sur l’équation différentielle de Thomas-Fermi, Publ. Inst. Math. (Beograd), 1, 101-113 (1947)
[4] Marić, V.; Tomić, M., A note on asymptotics of solutions of a class of nonlinear ordinary differential equations, (Equazioni differenziali ordinarie ed equazioni funzionali (1978)), 121-126, Firenze · Zbl 0422.34067
[5] Wong, P. K., Existence and asymptotic behavior of proper solutions of a class of second-order non-linear differential equations, Pacific J. Math., 13, 737-760 (1963) · Zbl 0115.07203
[6] Marić, V.; Tomić, M., Asymptotic properties of solutions of the equation \(y″ = ƒ(x)φ(y)\), Math. Z., 149, 261-266 (1976) · Zbl 0316.34054
[7] Marić, V.; Tomić, M., Regular variation and asymptotic properties of solutions of nonlinear differential equations, Publ. Inst. Math. (Beograd), 21, 119-129 (1977) · Zbl 0359.34045
[8] Aljančić, S.; Bojanić, R.; Tomić, M., Sur la valeur asymptotique d’une classe des intégrales définies, Publ. Inst. Math. (Beograd), 7, 81-94 (1954) · Zbl 0057.33502
[9] Seneta, E., Regularly Varying Functions, (Lecture Notes in Mathematics No. 508 (1976), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0291.60043
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