Application of generalised Riccati equations to analysis of asymptotic forms of solutions of perturbed half-linear ordinary differential equations
by Sokea Luey; Hiroyuki Usami
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 3/4, 2021

Abstract: Asymptotic forms of solutions of half-linear ordinary differential equation ('u′'^α-1u′)′ = α(1 + b(t))'u'^α-1 u are investigated under smallness conditions on b(t). The proof of the main result is based on analysis of solutions of generalised Riccati equations related to this half-linear equation.

Online publication date: Wed, 01-Sep-2021

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