Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the Existence of Positive Periodic Solutions for Neutral Functional Differential Equation with Multiple Deviating Arguments

On the Existence of Positive Periodic Solutions for Neutral Functional Differential Equation with... By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following neutral functional differential equation $$ \frac{{dN}} {{dt}}{\kern 1pt} = {\kern 1pt} N{\left( t \right)}{\left[ {a{\left( t \right)} - \beta {\left( t \right)}N{\left( t \right)} - {\sum\limits_{j = 1}^n {b_{j} {\left( t \right)}N{\left( {t - \sigma _{j} {\left( t \right)}} \right)} - {\sum\limits_{i = 1}^m {c_{i} {\left( t \right)}{N}'} }{\left( {t - \tau _{i} {\left( t \right)}} \right)}} }} \right]}. $$ http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

On the Existence of Positive Periodic Solutions for Neutral Functional Differential Equation with Multiple Deviating Arguments

Loading next page...
 
/lp/springer-journals/on-the-existence-of-positive-periodic-solutions-for-neutral-functional-JxPlZ1Le72
Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-003-0137-8
Publisher site
See Article on Publisher Site

Abstract

By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following neutral functional differential equation $$ \frac{{dN}} {{dt}}{\kern 1pt} = {\kern 1pt} N{\left( t \right)}{\left[ {a{\left( t \right)} - \beta {\left( t \right)}N{\left( t \right)} - {\sum\limits_{j = 1}^n {b_{j} {\left( t \right)}N{\left( {t - \sigma _{j} {\left( t \right)}} \right)} - {\sum\limits_{i = 1}^m {c_{i} {\left( t \right)}{N}'} }{\left( {t - \tau _{i} {\left( t \right)}} \right)}} }} \right]}. $$

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Nov 2, 2015

References