Electron. J. Diff. Equ., Vol. 2012 (2012), No. 28, pp. 1-16.

Solvability of nonlocal problems for semilinear one-dimensional wave equations

Sergo Kharibegashvili, Bidzina Midodashvili

Abstract:
In this article, we prove theorems on existence, uniqueness, and nonexistence of solutions for nonlocal problems of a semilinear wave equations in one space variable.

Submitted November 14, 2011. Published February 15, 2012.
Math Subject Classifications: 35L05, 35L20, 35L71.
Key Words: Nonlocal problem; semilinear wave equation; existence and nonexistence of solutions.

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Sergo Kharibegashvili
I. Javakhishvili Tbilisi State University
A. Razmadze Mathematical Institute
2, University St., Tbilisi 0143, Georgia
email: kharibegashvili@yahoo.com
Bidzina Midodashvili
I. Javakhishvili Tbilisi State University
Faculty of Exact and Natural Sciences
2, University St., Tbilisi 0143, Georgia
email: bidmid@hotmail.com

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