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Oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations
G. A. Grigorian
The Riccati equation method and an approach of the use of unknown factors is used to establish oscillation, suboscillation and nonoscillation criteria for linear systems of ordinar…
Convolution type integral equations in the conservative case
G. A. Grigorian
In this paper convolution type integral equations in the conservative case are studied. The conservative case of convolution type of equations relates to the case of non normal typ…
On the oscillation of linear matrix Hamiltonian systems
G. A. Grigorian
The Riccati equation method is used to establish new oscillation criteria for linear matrix Hamiltonian systems. New approaches allow to extend and completed a result, obtained by…
Global solvability criteria for matrix Riccati equations
G. A. Grigorian
A new approach is used to obtain a global solvability criterion for matrix Riccati equations. It is shown that the obtained result is an extension of a result derived from a compar…
Oscillation and non-oscillation criteria for second order linear non homogeneous functional-differential equations
G. A. Grigorian
The Riccati equation method is used to establish oscillation and non-oscillation criteria for second order linear nonhomogeneous functional-differential equations.We show that the…
Properties of solutions of matrix Riccati equations
G. A. Grigorian
In this paper we study properties of regular solutions of matrix Riccati equations. The obtained results are used to study the asymptotic behavior of solutions of linear systems of…