Averaging in an ordinary differential equation.
Averaging method for differential equations perturbed by dynamical systems
In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make an assumption...
Averaging method for differential equations perturbed by dynamical systems
In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make an assumption...
Averaging method for neutral type impulsive differential equations with supremums
Averaging of multivalued differential equations.
Averaging results for functional-differential equations.
Averaging techniques and oscillation of quasilinear elliptic equations
By using averaging techniques, some oscillation criteria for quasilinear elliptic differential equations of second order are obtained. These results extend and generalize the criteria for linear differential equations due to Kamenev, Philos and Wong.
Bargmann-type inequality for half-linear differential operators.
Basic algebro-geometric conceps in the study of planar polynomial vector fields.
In this work we show that basic algebro-geometric concepts such as the concept of intersection multiplicity of projective curves at a point in the complex projective plane, are needed in the study of planar polynomial vector fields and in particular in summing up the information supplied by bifurcation diagrams of global families of polynomial systems. Algebro-geometric concepts are helpful in organizing and unifying in more intrinsic ways this information.
Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation
The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapunov quantities of the autonomous system associated with the modified Van der Pol-Mathieu equation are computed....
Bedingungen der Nicht-Oszillationsfähigkeit und der Oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung
Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung ,
Behavior at infinity of psi-evanescent solutions to linear differential equations.
Behavior of forced asymmetric oscillators at resonance.
Behavior of second order nonlinear differential equations.
Behaviour of solutions of a fourth-order self-adjoint linear differential equation
Bemerkung über die Form der Integrale der linearen Differentialgleichungen mit veränderlichen Coefficienten.
Bemerkung zu einem Vergleichssatz für gewöhnliche lineare Differentialgleichungen.
Bifurcation and total stability
Bifurcation diagram of a cubic three-parameter autonomous system.