Existence and uniqueness of an inverse problem for nonlinear Klein‐Gordon equation

2019 ◽  
Vol 42 (10) ◽  
pp. 3739-3753
Author(s):  
Ibrahim Tekin ◽  
Yashar T. Mehraliyev ◽  
Mansur I. Ismailov
Keyword(s):  
Inverse Problem ◽  
Existence And Uniqueness ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Fixed Point Theorem Based Solvability of 2-Dimensional Dissipative Cubic Nonlinear Klein-Gordon Equation

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1103
Author(s):  
Md. Asaduzzaman ◽  
Adem Kilicman ◽  
Md. Zulfikar Ali ◽  
Siti Hasana Sapar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Gordon Equation ◽  
Priori Estimates ◽  
Klein Gordon ◽  
Time Periodic ◽  
Uniqueness Criteria ◽  
Klein Gordon Equation

The purpose of this article is to establish the solvability of the 2-Dimensional dissipative cubic nonlinear Klein-Gordon equation (2DDCNLKGE) through periodic boundary value conditions (PBVCs). The analysis of this study is founded on the Galerkin’s method (GLK) and the Leray-Schauder’s fixed point theorem (LS). First, the GLK method is used to construct some uniform priori estimates of approximate solution to the corresponding equation of 2DDCNLKGE. Finally, the LS fixed point theorem is applied to obtain the efficient and straightforward existence and uniqueness criteria of time periodic solution to the 2DDCNLKGE.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
Sign in / Sign up

Export Citation Format

Share Document