Relations between limit-point and Dirichlet properties of second-order difference operators.
Relations de Fuchs pour les systèmes différentiels réguliers
Dans cet article, nous montrons que la notion analytique d’exposants développée par Levelt pour les systèmes différentiels linéaires en une singularité régulière s’interprète algébriquement en termes d’invariants de réseaux, relatifs à un réseau stable maximal que nous appelons « réseau de Levelt ». Nous obtenons en particulier un encadrement pour la somme des exposants des systèmes n’ayant que des singularités régulières sur ).
Reliable numerical modelling of malaria propagation
We investigate biological processes, particularly the propagation of malaria. Both the continuous and the numerical models on some fixed mesh should preserve the basic qualitative properties of the original phenomenon. Our main goal is to give the conditions for the discrete (numerical) models of the malaria phenomena under which they possess some given qualitative property, namely, to be between zero and one. The conditions which guarantee this requirement are related to the time-discretization...
Remark concerning oscillatory properties of solutions of a certain nonlinear equation of the third order
Sufficient conditions for oscillation of a certain nonlinear trinomial third order differential equation are proved.
Remark on Sturm-Liouville functions
Remark to transformations of linear differential and functional-differential equations
For linear differential and functional-differential equations of the -th order criteria of equivalence with respect to the pointwise transformation are derived.
Remarks on bounded solutions for some nonautonomous ODE.
Remarks on multiple periodic solutions of nonlinear ordinary differential equations
Remarks on nonlinear noncoercive problems with jumping nonlinearities
Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems
Remarks on periodic solvability of nonlinear ordinary differential equations
Remarks on some generalizations of asymptotic periodicity in dynamical systems on metric spaces
Remarks on stability of inverted pendula.
Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II
We consider the half-linear differential equation of the form under the assumption that is integrable on . It is shown that if a certain condition is satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as .
Remarks on the Existence of Regularly Varying Solutions for Second Order Linear Differential Equations
Remarks on the uniqueness of radial solutions
Remarks on the uniqueness of second order
We are concerned with the uniqueness problem for solutions to the second order ODE of the form , subject to appropriate initial conditions, under the sole assumption that is non-decreasing with respect to , for each fixed. We show that there is non-uniqueness in general; on the other hand, several types of reasonable additional assumptions make the problem uniquely solvable. The interest in this problem comes, among other, from the study of oscillations of lumped parameter systems with implicit...
Representation of solutions of general linear differential systems of the second order
Representations of solutions of periodic second order linear differential equations.
Reproductivity Of Some Equations Of Analysis