Geodesic
Criteria of global solvability for Riccati scalar equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2015), pp. 35-48

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Based on two comparison theorems we prove certain coefficient criteria of global solvability for Riccati scalar equations. The result is applied to a system of two linear first-order differential equations.
Mots-clés : Riccati equation, normal and limit solutions, oscillation, non-oscillation
Keywords: regular (global) solutions, system of two linear differential first-order equations. 
@article{IVM_2015_3_a3,
     author = {G. A. Grigoryan},
     title = {Criteria of global solvability for {Riccati} scalar equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {35--48},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_3_a3/}
}
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G. A. Grigoryan. Criteria of global solvability for Riccati scalar equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2015), pp. 35-48. http://geodesic.mathdoc.fr/item/IVM_2015_3_a3/