To the theory of global transformation of the second order linear differential equations of finite type, special
To the theory of linear difference equations
Topological entropy and differential equations
On the background of a brief survey panorama of results on the topic in the title, one new theorem is presented concerning a positive topological entropy (i.e. topological chaos) for the impulsive differential equations on the Cartesian product of compact intervals, which is positively invariant under the composition of the associated Poincaré translation operator with a multivalued upper semicontinuous impulsive mapping.
Topological properties of solution sets for sweeping processes with delay.
Topological properties of the solution set of integrodifferential inclusions
In this paper we examine nonlinear integrodifferential inclusions in . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space and the retraction can be chosen to depend continuously on a parameter . Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retract of . Finally we prove some continuous dependence results.
Topological structure of solution sets of differential inclusions: the constrained case.
Topological structure of solution sets to multi-valued asymptotic problems.
Topological transversality. Applications to initial-value problems
Total stability properties based on fixed point theory for a class of hybrid dynamic systems.
Toward a two-step Runge-Kutta code for nonstiff differential systems
Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge-Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.
Transfer of connection problems for first level solutions of merimorphic differential equations, and associated Laplace transforms.
Transformation der Lösungen der Systeme von vier linearen Differentialgleichungen 1. Ordnung
Transformation methods for differential-algebraic equations
Transformation of spaces of vector functions of scalar argument
Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm--Liouville operators.
Transformation theory of linear ordinary differential equations -- from local to global investigations
A survey of investigations of linear differential equations from the point of view of transformations is described. These investigations started in the middle of the last century and continued till the present time. Essential step was done in the fifties by O. Borvka, who started global investigations of the second order equations.
Transformations of linear differential equations of second order and adjoined nonlinear equations
Transformations of ordinary differential equations
The paper describes the general form of an ordinary differential equation of an order which allows a nontrivial global transformation consisting of the...
Transport equations with partially velocities
We prove the uniqueness of weak solutions for the Cauchy problem for a class of transport equations whose velocities are partially with bounded variation. Our result deals with the initial value problem where is the vector fieldwith a boundedness condition on the divergence of each vector field . This model was studied in the paper [LL] with a regularity assumption replacing our hypothesis. This settles partly a question raised in the paper [Am]. We examine the details of the argument of...
Travelling wave solutions for the Painlevé-integrable coupled KdV equations.