Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems
Particular solutions for a class of ODE related to the -exponential functions.
Peano Baker series convergence for matrix-valued functions of bounded variation.
Periodic solutions of linear differential equations with measures as coefficients
Phase and dispersion theory of the differential equation in connection with the generalized Floquet theory
Phase matrix of linear differential systems
Pointwise transformations of linear differential equations
Polynomial operator matrices as semigroup generators: the 2 x 2 case.
Positivity of the Green functions for higher order ordinary differential equations.
Power bounded prolongations and Picard-Lindelöf iteration.
Poznámka k integrování některých differenciálních rovnic lineárních
Poznámky o charakteristické rovnici jisté transformace
Practical -stability behavior of time-varying nonlinear systems
We deal with the problem of practical uniform -stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform -stability of the solutions based on Gronwall’s type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.
Principal solutions and transformations of linear Hamiltonian systems
Sufficient conditions are given which guarantee that the linear transformation converting a given linear Hamiltonian system into another system of the same form transforms principal (antiprincipal) solutions into principal (antiprincipal) solutions.
Propriétés des intégrales des équations différentielles linéaires à coefficients variables
Psi-bounded solutions for linear differential systems with Lebesgue psi-integrable functions on R as right-hand sides.