Geodesic
Existence of solutions for one-dimensional wave equations with nonlocal conditions
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In 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.
Classification : 35L99, 35L05, 35L20
Keywords: mixed problem, non-local conditions, wave equation 
@article{EJDE_2001__2001__a77,
     author = {Beilin, Sergei A.},
     title = {Existence of solutions for one-dimensional wave equations with nonlocal conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a77/}
}
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Beilin, Sergei A. Existence of solutions for one-dimensional wave equations with nonlocal conditions. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a77/