On the Number of Zeros of Oscillating Solutions of the Third- and Fourth-Order Equations with Power Nonlinearities

Author:

Astashova V. I.,Rogachev V. V.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference18 articles.

1. I. V. Astashova, “On the asymptotic behavior of solutions of some nonlinear differential equations,” in: Repts. of the Enlarged Seminar of the Vekua Institute for Applied Mathematics [in Russian], 3, No. 3 (1988), pp. 9–12.

2. I. V. Astashova, “Application of dynamical systems to the investigation of asymptotic properties of the solutions of nonlinear higherorder differential equations,” Sovr. Mat. Ee Prilozh., 8, 3–33 (2003).

3. I. V. Astashova, “Asymptotic classification of the solutions of fourth-order Emden–Fowler-type equations,” in: Proc. of the Internat. Conf. “Differential Equations, Theory of Functions and Applications” Dedicated to the 100 Birthday of Acad. Vekua, Nonclassical Equations of Mathematical Physics [in Russian], Institute of Mathematics, Siberian Division of the Russian Academy of Sciences, Novosibirsk (2007), pp. 41–55.

4. I.V. Astashova, “On existence of nonoscillatory solutions to quasilinear differential equations,” Georg. Math. J., 2, No. 14, 223–238 (2007).

5. I.V. Astashova, “Uniform estimates for solutions to the third order Emden–Fowler type autonomous differential equation,” Funct. Different. Equat., 18, No. 1–2, 55–63 (2011).

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