Title: Oscillation and disconjugacy for generalised half-linear differential equations with Bohr almost periodic coefficients

Authors: M. Moalla; S. Injrou; R. Karroum

Addresses: Faculty of Sciences, Department of Mathematics, Tishreen University, Lattakia, 96341, Syria ' Faculty of Sciences, Department of Mathematics, Tishreen University, Lattakia, 96341, Syria ' Faculty of Sciences, Department of Mathematics, Tishreen University, Lattakia, 96341, Syria

Abstract: This study aims to examine the disconjugacy and the oscillation domain of the generalised half-linear second order differential equations with almost periodic coefficients in the sense of Bohr. Some properties of topological D (the disconjugacy domain) and O (the oscillation domain) are identified, and the boundary of D is also studied.

Keywords: half-linear; disconjugacy; oscillation; almost periodic coefficients; Riccati transformation.

DOI: 10.1504/IJDSDE.2022.126535

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.4, pp.371 - 385

Accepted: 01 Jul 2021
Published online: 28 Oct 2022 *

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