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Global solvability criteria for some classes of nonlinear second order ordinary differential equations
G. A. Grigorian
The Riccati equation method is used to establish some global solvability criteria for some classes of second order nonlinear ordinary differential equations. Two oscillation theore…
Oscillation criteria for second order two dimensional linear systems of ordinary differential equations
G. A. Grigorian
Some properties of global solution of scalar Riccati equation are studied. On the basis of these properties using the Whiburn's and Leighton - Nehary's theorems some oscillatory an…
Global solvability criteria for quaternionic Riccati equations
G. A. Grigorian
Some global existence criteria for quaternionic Riccati equations are established. Two of them are used to prove a completely non conjugation theorem for solutions of linear system…
Oscillatory and non oscillatory criteria for linear four dimensional hamiltonian systems
G. A. Grigorian
The Riccati equation method is used for study the oscillatory and non oscillatory behavior of solutions of linear four dimensional hamiltonian systems. An oscillatory and two non o…
Stability criteria for second order linear ordinary differential equations
G. A. Grigorian
We use some properties of solutions of Riccati equation for establishing boundedness and stability criteria for solutions of second order linear ordinary differential equations. We…
Oscillatory criteria for the hamiltonian systems
G. A. Grigorian
The Riccati equation method is used to establish some new oscillatory criteria for the hamiltonian systems in a new direction, which is to break the positive definiteness restricti…