Beilin, Sergei A.2020-07-022020-07-022001-12-10Beilin, S. A. (2001). Existence of solutions for one-dimensional wave equations with nonlocal conditions. <i>Electronic Journal of Differential Equations, 2001</i>(76), pp. 1-8.1072-6691https://hdl.handle.net/10877/11952In this article we study an initial and boundary-value problem with a nonlocal integral condition for a one-dimensional wave equation. We prove existence and uniqueness of classical solution and find its Fourier representation. The basis used consists of a system of eigenfunctions and adjoint functions.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalMixed problemNon-local conditionsWave equationExistence of Solutions for One-Dimensional Wave Equations with Nonlocal ConditionsArticle