On Periodic Solutions of a Second-Order Ordinary Differential Equation

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 281; no. 3; pp. 353 - 358
• Main Authors: Abramov, V. V., Liskina, E. Yu
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 10.05.2024; Springer; Springer Nature B.V
• Subjects: Differential equations; Inhomogeneity; Mathematics; Mathematics and Statistics; periodic solution; 34C05; qualitative theory; 34C25; nonlinear oscillator; 34D20; second-order differential equation; stability

We consider a differential equation containing first- and second-order forms with respect to the phase variable and its derivative with constant coefficients and a periodic inhomogeneity. Using the method of constructing a positively invariant rectangular domain, we examine the existence of a asympt...