Existence and Uniqueness of Crossing Symmetric N/D‐Type Equations Corresponding to the Klein‐Gordon Equation

1970 ◽  
Vol 11 (1) ◽  
pp. 79-98 ◽  
Author(s):  
H. Cornille
Keyword(s):  
Existence And Uniqueness ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

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

scholarly journals Bound states of a Klein–Gordon particle in the presence of a smooth potential well

2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Potential Well ◽  
One Dimensional ◽  
Smooth Potential ◽  
Klein Gordon ◽  
The One ◽  
Potential Parameters ◽  
Klein Gordon Equation

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.

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