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Application of ateb-functions to the construction of solutions of some nonlinear partial differential equations

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Abstract

We construct asymptotic approximations of one-frequency solutions of some nonlinear partial differential equations by using periodic Ateb-functions.

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References

  1. P. M. Senik, “Inversion of an incomplete beta-function,” Ukr. Mat. Zh., 21, No. 3, 325–333 (1969).

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  2. B.I. Sokil, “On the asymptotic representation of solutions of a nonlinear system under the conditions of resonance,” Ukr. Mat. Zh., 33, No. 3, 390–392 (1983).

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  3. B. I. Sokil, “On a method for constructing one-frequency solutions of a nonlinear wave equation,” Ukr. Mat. Zh., 46, No. 6, 782–785 (1994).

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Authors
  1. B. I. Sokil
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Sokil, B.I. Application of ateb-functions to the construction of solutions of some nonlinear partial differential equations. Ukr Math J 48, 324–326 (1996). https://doi.org/10.1007/BF02372056

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  • DOI: https://doi.org/10.1007/BF02372056

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