Ukrainian Mathematical Journal

, Volume 49, Issue 12, pp 1907–1911 | Cite as

Quasilinear periodic boundary-value problem

  • A. G. Botyuk
Brief Communications


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.


Differential Equation Banach Space Integral Equation Unique Solution Ordinary Differential Equation 
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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. G. Botyuk

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