Existence and uniqueness of an inverse problem for nonlinear Klein‐Gordon equation
İbrahim TekinDepartment of Mathematics Bursa Technical University Bursa TurkeyYashar T. MehraliyevFaculty of Mechanics and Mathematics Baku State University Baku AzerbaijanMansur I. IsmailovDepartment of Mathematics Gebze Technical University Gebze Turkey
2019en
ABI
Annotatsiya
In this paper, an initial boundary value problem for nonlinear Klein‐Gordon equation is considered. Giving an additional condition, a time‐dependent coefficient multiplying nonlinear term is determined, and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem.
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