Conditions of oscillatory or nonoscillatory nature of solutions for a class of second-order semilinear differential equations

• Datum: 2007
• Hauptverfasser: Evtukhov, V. M., Vasileva, N. S., Евтухов, В. М., Васильева, Н. С.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3320
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

For a class of second-order semilinear differential equations, we prove the theorems on oscillatory or nonoscillatory nature of all proper solutions. These theorems are analogs of the well-known Kneser theorems for linear differential equations.