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On the Cauchy problem for an Emden-Fowler equation

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Abstract

We consider the equation y″ = P(x)x a y σ, σ < 0, and prove the unique solvability of the Cauchy problem y(0) = 0, y′(0) = λ.

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References

  1. Bellman, R., Stability Theory of Differential Equations, New York, 1953. Translated under the title Teoriya ustoichivosti reshenii differentsial’nykh uravnenii, Moscow: Inostrannaya Literatura, 1954.

  2. Kiguradze, I.T. and Chanturiya, T.A., Asimptoticheskie svoistva reshenii neavtonomnykh obyknovennykh differentsial’nykh uravnenii (Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations), Moscow: Nauka, 1990.

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  3. Knežević-Miljanović, J., Asymptotic Behavior of Solutions of a Singular Equation of Emden-Fowler Type, Differ. Uravn., 2005, vol. 41, no. 8, pp. 1122–1124.

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Authors and Affiliations

  1. University of Belgrade, Belgrade, Serbia

    J. Knežević-Miljanović

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  1. J. Knežević-Miljanović
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Original Russian Text © J. Knežević-Miljanović, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 2, pp. 260–262.

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Knežević-Miljanović, J. On the Cauchy problem for an Emden-Fowler equation. Diff Equat 45, 267–270 (2009). https://doi.org/10.1134/S0012266109020141

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  • DOI: https://doi.org/10.1134/S0012266109020141

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