Introductory Concepts of Integral Equations on Time Scales

2016 ◽  
pp. 77-129
Author(s):  
Svetlin G. Georgiev
Keyword(s):  
Integral Equations ◽  
Time Scales

scholarly journals On Retarded Integral Inequalities for Dynamic Systems on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Qiao-Luan Li ◽  
Xu-Yang Fu ◽  
Zhi-Juan Gao ◽  
Wing-Sum Cheung
Keyword(s):  
Integral Equations ◽  
Time Scales ◽  
Dynamic Systems ◽  
Time Delays ◽  
Integral Inequalities

The object of this paper is to establish some nonlinear retarded inequalities on time scales which can be used as handy tools in the theory of integral equations with time delays.

scholarly journals Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Eleonora Messina ◽  
Antonia Vecchio
Keyword(s):  
Integral Equations ◽  
Time Scales ◽  
Sufficient Conditions ◽  
Volterra Integral Equations ◽  
Stability And Convergence ◽  
Time Behavior ◽  
Convergence Properties ◽  
Convergence Of Solutions ◽  
Long Time ◽  
The Stability

We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity.

scholarly journals Random integral equations on time scales

2013 ◽  
Vol 33 (2) ◽  
pp. 323 ◽  
Author(s):  
Vasile Lupulescu ◽  
Cristina Lungan
Keyword(s):  
Integral Equations ◽  
Time Scales ◽  
Random Integral
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