Distributional and entire solutions of ordinary differential and functional differential equations.
Du facteur intégrant pour les expressions différentielles du premier ordre renfermant un nombre quelconque de variables indépendantes
Dynamic analysis of an impulsively controlled predator-prey system.
Dynamic systems described by differential equations with singularities of the type and their machine solving
Dynamic systems with the nonzero initial conditions excited by the Dirac function
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical behavior of Volterra model with mutual interference concerning IPM
A Volterra model with mutual interference concerning integrated pest management is proposed and analyzed. By using Floquet theorem and small amplitude perturbation method and comparison theorem, we show the existence of a globally asymptotically stable pest-eradication periodic solution. Further, we prove that when the stability of pest-eradication periodic solution is lost, the system is permanent and there exists a locally stable positive periodic solution which arises from the pest-eradication...
Dynamical studies of equations from the Gambier family.
Dynamique et formes normales d’équations différentielles implicites
Dans cet article on cherche à comprendre la dynamique locale d’équations différentielles implicites de la forme , où est un germe de fonction sur (où ou ), au voisinage d’un point singulier. Pour cela on utilise la relation intime entre les systèmes implicites et les champs liouvilliens. La classification par transformation de contact des équations implicites provient de la classification symplectique des champs liouvilliens. On utilise alors toute la théorie des formes normales pour les...