Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays

We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.89-95-907
Main Authors: Lu, Shiping, Lu, Ming
Format: Article
Language:English
Subjects:
Banach spaces
Boundary value problems
Continuity
Curvature
Delay
Mathematical analysis
Mathematical problems
Mathematical research
Periodic functions
Power plants
Studies
Theorems
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Summary:We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation (d/dt)(x'(t)/1+x't2) +∑i=1naitgxt-τit=pt. By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/909252