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Principal solutions and transformations of linear Hamiltonian systems

Ondřej Došlý (1992)

Archivum Mathematicum

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.

Problems with one quarter

Ján Ohriska (2005)

Czechoslovak Mathematical Journal

In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation ( r ( t ) u ' ( t ) ) ' + p ( t ) u ( t ) = 0 are derived. One of them deals with the case d t r ( t ) = , and the other with the case d t r ( t ) < .

Properties of solutions of quaternionic Riccati equations

Gevorg Avagovich Grigorian (2022)

Archivum Mathematicum

In this paper we study properties of regular solutions of quaternionic Riccati equations. The obtained results we use for study of the asymptotic behavior of solutions of two first-order linear quaternionic ordinary differential equations.

Property (A) of n -th order ODE’s

Jozef Džurina (1997)

Mathematica Bohemica

The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation L_nu(t)+p(t)u(t)=0.

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