Conditions of solvability of quasilinear periodic boundary-value problems for hyperbolic equations of the second order
Abstract
On the basis of properties of the Vejvoda-Shtedry operator, we obtain solvability conditions for the 2π-periodic problem utt−uxx=F[u,ut],u(0,t)=u(π,t)=0,u(x,t+2π)=u(x,t) .
Published
25.06.1998
How to Cite
Mitropolskiy, Y. A., N. H. Khoma, and G. P. Khoma. “Conditions of Solvability of Quasilinear Periodic Boundary-Value Problems for Hyperbolic Equations of the Second Order”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 6, June 1998, pp. 818–821, https://umj.imath.kiev.ua/index.php/umj/article/view/4892.
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Section
Research articles