Title :
Existence theory for single and multiple positive periodic solutions to volterra integro-differential equations
Author :
Weng, Shiyou ; Zhu, Tianxiao ; Chen, Weizhong
Author_Institution :
Dept. of Basic of Course, Suzhou Vocational Univ., Suzhou, China
Abstract :
This paper presents a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous Volterra integro-differential equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.
Keywords :
Volterra equations; biology; integro-differential equations; biomathematical model; cones; existence theory; fixed point theorem; multiple positive periodic solution; nonautonomous Volterra integro-differential equations; single positive periodic solution; Biological system modeling; Differential equations; Equations; Mathematical model; Oscillators; Stability analysis; Volterra integro-differential equation; existence; fixed point theorem; positive periodic solution;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968428
