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Global solvability, stability and oscillation criteria for systems of two first-order pseudo linear ordinary differential equations
G. A. Grigorian
In this paper we use the Riccati equation method with other ones to establish global solvability, stability and oscillation criteria for a class of two dimensional nonlinear system…
On the stability of systems of two linear first-order ordinary differential equations
G. A. Grigorian
The Riccati equation method is used to establish some new stability criteria for systems of two linear first-order ordinary differential equations. It is shown that two of these cr…
A generalization of Sturm's comparison theorem
G. A. Grigorian
The Riccati equation method is used to establish a new comparison theorem for systems of two linear first order ordinary differential equation. This result is based on a, so called…
Oscillation and interval oscillation criteria for linear matrix Hamiltonian systems
G. A. Grigorian
We use the Riccati equation method with other ones to establish new oscillation and interval oscillation criteria for linear matrix Hamiltonian systems. We investigate the oscillat…