Qualitative theory for Volterra difference equations

2018 ◽  
Vol 41 (14) ◽  
pp. 5423-5458 ◽  
Author(s):  
Felix Bernardo ◽  
Claudio Cuevas ◽  
Herme Soto
Keyword(s):  
Difference Equations ◽  
Qualitative Theory ◽  
Volterra Difference Equations

scholarly journals On nonlinear finite difference inequalities in two independent variables

2002 ◽  
Vol 33 (1) ◽  
pp. 57-66
Author(s):  
B. G. Pachpatte
Keyword(s):  
Finite Difference ◽  
Difference Equations ◽  
Qualitative Theory ◽  
Independent Variables ◽  
Finite Difference Equations ◽  
Explicit Bounds ◽  
Two Independent Variables

The aim of the present paper is to establish some new finite difference inequalities involving functions of two independent variables which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial finite difference equations.

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