A model of frontal polymerization using complex initiation.
An equivalence theorem concerning population growth in a variable environment.
Asymptotic behaviour of solutions of the differential equation of the fourth order
Asymptotic equivalence of differential equations with Stepanoff-bounded functional perturbation
Asymptotic properties of derivatives of central dispersions of the -th kind for the differential equation
Asymptotic relationships between two higher order ordinary differential equations.
Asymptotic solution of nonlinear moment equations for constant-rate aerosol reactors.
Connected branches of asymptotically equivalent solutions to non-linear eigenvalue problems
We prove an existence theorem for connected branches of solutions to nonlinear operator equations in Banach spaces. This abstract result is applied to the asymptotically equivalent solutions to nonlinear ordinary differential equations.
Contributions to the asymptotic behaviour of the equation with a complex-valued function
Efficient computation of delay differential equations with highly oscillatory terms
This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...
Efficient computation of delay differential equations with highly oscillatory terms
This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...
Efficient computation of delay differential equations with highly oscillatory terms
This paper is concerned with the asymptotic expansion and numerical solution of systems of linear delay differential equations with highly oscillatory forcing terms. The computation of such problems using standard numerical methods is exceedingly slow and inefficient, indeed standard software is practically useless for this purpose. We propose an alternative, consisting of an asymptotic expansion of the solution, where each term can be derived either by recursion or by solving a non-oscillatory...
Einige Bemerkungen über eine nichtlineare Differentialgleichung dritter Ordnung
Modelling tumour-immunity interactions with different stimulation functions
Tumour immunotherapy is aimed at the stimulation of the otherwise inactive immune system to remove, or at least to restrict, the growth of the original tumour and its metastases. The tumour-immune system interactions involve the stimulation of the immune response by tumour antigens, but also the tumour induced death of lymphocytes. A system of two non-linear ordinary differential equations was used to describe the dynamic process of interaction between the immune system and the tumour. Three different...
Non-standard dynamical systems. Shadows of trajectories and abstracts rivers.
O některých nelineárních diferenciálních rovnicích třetího řádu
On asymptotic properties of a strongly nonlinear differential equation
The paper describes asymptotic properties of a strongly nonlinear system , . The existence of an parametric family of solutions tending to zero is proved. Conditions posed on the system try to be independent of its linear approximation.
On some properties of the solution of the differential equation
In the paper it is shown that each solution ot the initial value problem (2), (3) has a finite limit for , and an asymptotic formula for the nontrivial solution tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions , .
On the asymptotic behavior of perturbed linear systems
On the asymptotic behavior of solutions of nonlinear ordinary differential equations