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Quasilinear periodic boundary-value problem

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Abstract

We study a periodie boundary-value problem for the quasilinear equation u tt − u xx = F[u, u t , u x ]. We find conditions under which a theorem on the uniqueness of a solution is true.

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References

  1. Yu. A. Mitropol’skii, G. P. Khoma, and M. I. Gromyak. Asymptotic Methods for the Investigation of Quasilinear Hyperbolie Equations [in Russian], Naukova Dumka, Kiev (1991).

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  2. L. H. Khoma, N. H. Khoma, and A. O. Botyuk, “The existence of the Vejvoda-Shtedry spaces,” Ukr. Mat. Zh., 49, No. 2, 302–308 (1997).

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  3. P. Hartman, Ordinary Differential Equations, John Wiley & Sons, New York (1964).

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Authors
  1. A. G. Botyuk
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Additional information

Ternopol State University, Ternopol. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 12, pp. 1690–1693, December, 1997.

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Botyuk, A.G. Quasilinear periodic boundary-value problem. Ukr Math J 49, 1907–1911 (1997). https://doi.org/10.1007/BF02513069

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  • DOI: https://doi.org/10.1007/BF02513069

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