# 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

, Volume 19 (4) – Nov 2, 2015
10 pages

/lp/springer-journals/on-the-existence-of-positive-periodic-solutions-for-neutral-functional-JxPlZ1Le72
Publisher
Springer Journals
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

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