Two-Point Oscillation for a Class of Second-Order Damped Linear Differential Equations

Abstract EN

Using the comparison theorem, the two-point oscillation for linear differential equation with damping term y′′+(f(x)/(x-x2)α)y′ + (g(x)/(x−x2)β)y=0 is considered, where α,β>0; f(x),g(x)>0, and f(x),g(x)∈C(I¯), I=(0,1).

Results are obtained that 0<α<3/2, β>3 or α>3/2, β>2α imply the two-point oscillation of the equation.