Basic topological structures of the theory of ordinary differential equations
Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.
Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems.
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....
B-Convergence of Lobatto IIIC Formulas.
B-Convergence Properties of Defect Correction Methods. I.
B-Convergence Properties of Defect Correction Methods. II.
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 positive radial solutions of a quasilinear equation with a weighted Laplacian.
Behavior of second order nonlinear differential equations.
Behavior of the solutions to second order linear autonomous delay differential equations.
Behaviour of solutions of a fourth-order self-adjoint linear differential equation
Behaviour of solutions of linear differential equations with delay
This contribution is devoted to the problem of asymptotic behaviour of solutions of scalar linear differential equation with variable bounded delay of the form with positive function Results concerning the structure of its solutions are obtained with the aid of properties of solutions of auxiliary homogeneous equation where the function is positive. A result concerning the behaviour of solutions of Eq. (*) in critical case is given and, moreover, an analogy with behaviour of solutions of...
Behaviour of solutions to the Dirichlet problem for the biharmonic operator at a boundary point
Bemerkung über die Form der Integrale der linearen Differentialgleichungen mit veränderlichen Coefficienten.
Bemerkung zu einem Vergleichssatz für gewöhnliche lineare Differentialgleichungen.
Bemerkung zum Tschaplyginschen Satz über Differentialungleichungen