Rahaf Habib

collaborators

2 papers

math.CA2026

Sufficient conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations

Roland Hildebrand, Rahaf Habib

We consider ordinary differential equations (ODE) of the form $u^{''} u - (u^{'})^{2} = e^{- x} P (u) - 1$ , where $P$ is a polynomial. In previous work, necessary conditions on $P$ have been e…

math.CA2026

Necessary conditions for the existence of exponential-polynomial expansions for solutions of certain differential equations

Rahaf Habib, Roland Hildebrand

We consider ordinary differential equations (ODE) of the form $u^{''} u - (u^{'})^{2} = e^{- x} P (u) - 1$ , where $P$ is a polynomial. For $P = u^{k}$ , $k = 3, 4, 6$ this ODE is equivalent to cert…