Email this article On the Solvability of a Mixed Problem for an One-dimensional Semilinear Wave Equation with a Nonlinear Boundary Condition
- Authors: Kharibegashvili S.S.1, Shavlakadze N.N.1, Jokhadze O.M.1
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Affiliations:
- I.Javakhishvili Tbilisi State University
- Issue: Vol 53, No 5 (2018)
- Pages: 247-259
- Section: Differential Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/228217
- DOI: https://doi.org/10.3103/S1068362318050011
- ID: 228217
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Abstract
In this paper, for an one-dimensional semilinear wave equation we study a mixed problem with a nonlinear boundary condition. The questions of uniqueness and existence of global and blow-up solutions of this problem are investigated, depending on the nonlinearity nature appearing both in the equation and in the boundary condition.
About the authors
S. S. Kharibegashvili
I.Javakhishvili Tbilisi State University
Author for correspondence.
Email: kharibegashvili@yahoo.com
Georgia, Tbilisi
N. N. Shavlakadze
I.Javakhishvili Tbilisi State University
Email: kharibegashvili@yahoo.com
Georgia, Tbilisi
O. M. Jokhadze
I.Javakhishvili Tbilisi State University
Email: kharibegashvili@yahoo.com
Georgia, Tbilisi
