On periodic solutions of a delay integral equation modelling epidemics

1977 ◽  
Vol 4 (1) ◽  
pp. 69-80 ◽  
Author(s):  
H. L. Smith
Keyword(s):  
Integral Equation ◽  
Periodic Solutions ◽  
Delay Integral Equation ◽  
Equation Modelling

scholarly journals The Convergence of the Series in Mathieu's Functions

1914 ◽  
Vol 33 ◽  
pp. 25-30 ◽  
Author(s):  
G. N. Watson
Keyword(s):  
Integral Equation ◽  
Periodic Solutions ◽  
Suitable Function ◽  
Elegant Method ◽  
Mathieu’S Equation ◽  
Image Position

Periodic solutions of Mathieu's equation*where a is a suitable function of q have recently been discussed in several papers in these Proceedings. An elegant method of determining these solutions, which are writtenwas given by Whittaker, † who obtained the integral equationwhich is satisfied by periodic solutions of Mathieu's equation.

scholarly journals A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

2016 ◽  
Vol 14 (1) ◽  
pp. 237-246 ◽  
Author(s):  
Nasrin Eghbali ◽  
Vida Kalvandi ◽  
John M. Rassias
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fractional Order ◽  
Fractional Integral ◽  
Compact Interval ◽  
Ulam Stability ◽  
Fixed Point Approach ◽  
Delay Integral Equation ◽  
Fractional Integral Equation

AbstractIn this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.

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