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Comparison criterion for second order Riccati equations
G. A. Grigorian
Three comparison criteria are obtained for second order Riccati equations. On the basis of these criteria some global existence theorems are proved mentioned equations. The results…
A generalization of the Gronwall-Bellman lemma
G. A. Grigorian
The Riccati equation method is used to obtain a generalization of the Gronvall-Bellman lemma the obtained result is used to generalize a result of Lyapunov.
On the localization of roots of polynomials
G. A. Grigorian
In this article we use a method of finding the index of a complex-valued function by determined number of arithmetic operations to describe an algorithm of localization of roots of…
Comparison criteria for the Abel equation of 1st kind
G. A. Grigorian
Three comparison criteria for the Abel equation of 1es kind are proved. The results obtained are used to obtain global solvability criteria and some criteria of existence of closed…
Kamenev type conditions for oscillation of third order linear ordinary differential equations
G. A. Grigorian
The Riccati equation method is used to establish Kamenev type conditions for the existence of oscillatory solutions to third order linear ordinary differential equations. Three osc…