We present various criteria for the non-existence of positive periodic solutions of generalized Abel differential equations with periodic coefficients that can change sign. As an application, we obtain some families of planar vector fields without limit cycles. © 2007 Elsevier Inc. All rights reserved.
|Journal||Journal of Mathematical Analysis and Applications|
|Publication status||Published - 15 Jun 2008|
- Abel equation
- Hilbert's 16th problem
- Limit cycles
- Periodic solutions
- Rigid systems