On a smooth solution of a boundary-value problem

  • P. V. Tsynalko

Abstract

We study a periodic boundary-value problem for the quasilinear equation u tt u xx =F[u, u t , u x ], u(x, 0)=u(x, π)=0, u(x + ω, t) = u(x, t), x ∈ ℝ t ∈ [0, π], and establish conditions that guarantee the validity of a theorem on unique solvability.
Published
25.09.1998
How to Cite
Tsynalko P. V. “On a Smooth Solution of a Boundary-Value Problem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 9, Sept. 1998, pp. 1293–1296, https://umj.imath.kiev.ua/index.php/umj/article/view/4849.
Section
Research articles