CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Author's Draft

Periodic Solutions of Almost Linear Volterra Integro-dynamic Equation on Periodic Time Scales

  • Youssef N. Raffoul,
    Department of Mathematics , University of Dayton , Dayton, OH 45469-2316 USA
Format:   LaTeX   MathJax   PDF  

Abstract

Using Krasnoselskii's fixed point theorem, we deduce the existence of periodic solutions of nonlinear system of integro-dynamic equations on periodic time scales. These equations are studied under a set of assumptions on the functions involved in the equations. The equations will be called almost linear when these assumptions hold. The results of this papers are new for the continuous and discrete time scales.
Keywords: Volterra integro-dynamic equation, time scales, Krasnoselsii's fixed point theorem, periodic solution Volterra integro-dynamic equation, time scales, Krasnoselsii's fixed point theorem, periodic solution
MSC Classifications: 45J05, 45D05 show english descriptions Integro-ordinary differential equations [See also 34K05, 34K30, 47G20]
Volterra integral equations [See also 34A12]
45J05 - Integro-ordinary differential equations [See also 34K05, 34K30, 47G20]
45D05 - Volterra integral equations [See also 34A12]
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/