On the application of Ateb-functions to the construction of an asymptotic solution of the perturbed nonlinear Klein-Gordon equation

Author:

Mitropol’skii Yu A.,Sokil B. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference6 articles.

1. P. M. Senik, I. P. Smereka, and B. I. Sokil, “Asymptotic method and periodic Ateb-functions in the theory of essentially nonlinear oscillations,” in: Asymptotic and Qualitative Methods in the Theory of Differential Equations [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1977), pp. 143–156.

2. B. I. Sokil, “On a method for constructing one-frequency solutions of a nonlinear wave equation,” Ukr. Mat. Zh., 46, No. 6, 782–786 (1994).

3. B. I. Sokil, “Application of Ateb-functions to the construction of solutions of some nonlinear partial differential equations,” Ukr. Mat. Zh., 48, No. 2, 291–292 (1996).

4. P. M. Senik, “Inversion of an incomplete beta-function,” Ukr. Mat. Zh., 21, No. 3, 325–333 (1968).

5. Yu. A. Mitropol’skii, “On construction of asymptotic solution of the perturbed Klein-Gordon equation,” Ukr. Mat. Zh., 47, No. 9, 209–216 (1995).

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