O některých nelineárních diferenciálních rovnicích třetího řádu
On a Difference Scheme of Exponential Type for a Nonlinear Singular Perturbation Problem.
On a finite difference analogue of a singular boundary value problem.
On a “Liapunov like” function for an equation with a complex-valued function
On a reduction of nonlinear ordinary differential equations at an irregular type singularity
On a singular perturbed differential delay equation
On a singulary perturbed, coupled elliptic-elliptic problem.
On asymptotic integrations of
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 asymptotic properties of oscillatory solutions of the system of differential equations of fourth order
On caustics associated with Rossby waves
Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.
On caustics associated with the linearized vorticity equation
The linearized vorticity equation serves to model a number of wave phenomena in geophysical fluid dynamics. One technique that has been applied to this equation is the geometrical optics, or multi-dimensional WKB technique. Near caustics, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to determine an asymptotic solution of the linearized vorticity equation and to study associated wave...
On certain asymptotic properties of the solutions of the equation with a complex-valued function
On collocation methods for singular perturbation problems of convection-diffusion type.
On combined asymptotic expansions in singular perturbations.
On focal points and limit behavior of solutions of linear differential equations
On index theorems for linear ordinary differential operators
We introduce and study the sheaf of Deligne to describe singular points of a linear differential operator and we develop a technique based on homological algebra to prove index theorems for .As particular cases, we obtain index theorems for acting in spaces of multisummable series and a new proof of the index theorem of Malgrange in the space of convergent power series and of the index theorems of Ramis in the spaces of Gevrey series.We compute the values of these indices in terms of the formal...
On -solutions of th order nonlinear differential equation
On -quasi-derivatives for solutions of perturbed general quasi-differential equations
This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of th order with complex coefficients , provided that all th quasi-derivatives of solutions of and all solutions of its normal adjoint are in and under suitable conditions on the function .
On matched asymptotic analysis for laminar channel flow with a turning point.