Existence Results of Multiple Solutions for a 2nth-Order Finite Difference Equation

2019 ◽  
Vol 43 (3) ◽  
pp. 2887-2907
Author(s):  
Mengxiang You ◽  
Yu Tian ◽  
Yue Yue ◽  
Jianguo Liu
Keyword(s):  
Finite Difference ◽  
Difference Equation ◽  
Multiple Solutions ◽  
Existence Results ◽  
Finite Difference Equation

Sur l'existence d'une longueur élémentaire et d'un intervalle de temps élémentaire

1978 ◽  
Vol 56 (8) ◽  
pp. 1109-1115 ◽  
Author(s):  
Robert Lacroix
Keyword(s):  
Finite Difference ◽  
Difference Equation ◽  
One Dimension ◽  
Time Interval ◽  
Finite Difference Equation ◽  
Elementary Length

We have briefly examined several studies which have been made concerning the introduction of an elementary length l0 and an elementary time interval t0 into physical theories. We have discussed the arguments which we have found, arguments formulated by other authors, and which support the hypotheses concerning the existence of l0 and of t0. A finite difference equation is proposed and the solutions of some problems of movement in one dimension are given.

ON SOLVING NONLINEAR FUNCTIONAL, FINITE DIFFERENCE, COMPOSITION, AND ITERATED EQUATIONS

Fractals ◽  
1999 ◽  
Vol 07 (03) ◽  
pp. 277-282 ◽  
Author(s):  
RAY BROWN
Keyword(s):  
Finite Difference ◽  
Difference Equation ◽  
Difference Equations ◽  
Finite Difference Equation ◽  
Euler Approximation ◽  
Nonlinear Functional ◽  
Finite Difference Equations ◽  
Wide Range ◽  
Iterated Equations ◽  
General Method

In this letter, we present a general method for solving a wide range of nonlinear functional and finite difference equations, as well as iterated equations such as the Hénon and Mandelbrot equations. The method extends to differential equations using an Euler approximation to obtain a finite difference equation.

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