Smooth solution of one boundary-value problem

  • N. H. Khoma
  • P. V. Tsynalko

Abstract

We study the boundary value problem for the quasilinear equation u u − uxx=F[u, ut], u(x, 0)= u(x, π)=0, u(x+w, t)=u(x, t), x ε ®, t ε [0, π], and establish conditions under which a theorem on the uniqueness of a smooth solution is true.
Published
25.12.1997
How to Cite
KhomaN. H., and Tsynalko P. V. “Smooth Solution of One Boundary-Value Problem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 12, Dec. 1997, pp. 1712–1716, https://umj.imath.kiev.ua/index.php/umj/article/view/5178.
Section
Short communications