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math.CA2021
Cauchy problem for quasilinear systems of functional differential equations
G. A. Grigorian
We use the contracting mapping principle for proving that under some mild restrictions the Cauchy problem for quasilinear systems of functional differential equations with retarded…
math.CA2021
Oscillation and non oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations
G. A. Grigorian
The Riccati equation method is used to establish an oscillatory and a non oscillatory criteria for nonhomogeneous linear systems of two first-order ordinary differential equations.…
math.CA2021
Stability criterion for linear systems of ordinary differential equations
G. A. Grigorian
The Riccati equation method is used to establish a new stability criteria for linear systems of ordinary differential equations. Two examples are presented in which the obtained re…