5 papers
Extension of Krein's special method for solving integral equations
G. A. Grigorian
Extencion of Krein's special method for solving of integral equation to that method for solving of systems of integral equations is established. Generalizations of formulae for sol…
A new global solvability criterion for matrix Riccati equations
G. A. Grigorian
We use a new approach with a matrix transformation to obtain a new global solvability criterion for matrix Riccati equations. The proven theorem completes an well known result in d…
Oscillation criteria for extended linear matrix Hamiltonian systems
G. A. Grigorian
The Riccati equation method is used to establish new oscillation criteria for extended linear matrix Hamiltonian systems. This method allows to obtain results in in a new direction…
A non oscillation criterion for extended quasi linear Hamiltonian systems
G. A. Grigorian
A new approach with the Riccati equation method is used to obtain a non oscillation criterion for extended quasi linear Hamiltonian systems.
Comparison criteria for first order polynomial differential equations
G. A. Grigorian
In this paper we use the comparison method for investigation of first order polynomial differential equations. We prove two comparison criteria for these equations. The proved crit…