IJPAM: Volume 62, No. 4 (2010)
EXISTENCE THEORY FOR SINGLE AND MULTIPLE
POSITIVE PERIODIC SOLUTIONS TO THE DELAY
LOGISTIC EQUATIONS WITH IMPULSE EFFECTS
POSITIVE PERIODIC SOLUTIONS TO THE DELAY
LOGISTIC EQUATIONS WITH IMPULSE EFFECTS
Tianxiao Zhu
, Shiyou Weng
, Daqing Jiang
, Xuezhang Hou
College of Applied Science
Changchun University
Changchun, 130022, P.R. CHINA
General Course Department
Suzhou Vocational University
Suzhou, 215104 P.R. CHINA
School of Mathematics and Statistics
Northeast Normal University
Changchun, 130024, P.R. CHINA
Department of Mathematics
Towson University
7800, York Road, Balti more, Maryland, 21252-0001, USA
e-mail: xhou@towson.edu
, Shiyou Weng, Daqing Jiang, Xuezhang Hou
College of Applied Science
Changchun University
Changchun, 130022, P.R. CHINA
General Course Department
Suzhou Vocational University
Suzhou, 215104 P.R. CHINA
School of Mathematics and Statistics
Northeast Normal University
Changchun, 130024, P.R. CHINA
Department of Mathematics
Towson University
7800, York Road, Balti more, Maryland, 21252-0001, USA
e-mail: xhou@towson.edu
Abstract.This paper deals with a new existence theory for
single and multiple positive periodic solutions to a kind of delay
logistic functional differential equations with impulse actions at
fixed moments by employing a fixed point theorem in cones. Easily
verifiable sufficient criteria are established. The paper extends
some previous results and reports some new results about impulsive
functional differential equations.
Received: June 28, 2010
AMS Subject Classification: 34K20
Key Words and Phrases: functional differential equation, impulse, positive periodic solution, fixed point theorem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 4