• Article  

      Darboux polynomials for lotkavolterra systems in three dimensions 

      Christodoulides, Y. T.; Damianou, Pantelis A. (2009)
      We consider LotkaVolterra systems in three dimensions depending on three real parameters. By using elementary algebraic methods we classify the Darboux polynomials (also known as second integrals) for such systems for ...
    • Article  

      Looking for the integrating factor: The darboux approach 

      Christodoulides, Y. T.; Damianou, Pantelis A. (2014)
      We present a method for the solution of first-order ordinary differential equations based on a class of polynomials known as Darboux polynomials. Integrating factors, used to convert the equations in exact form, and constants ...