On an extension of the Fubini theorem and its applications in ODEs Original Research Article

The paper deals with the change of integration for integrals View the MathML source where m>0 and A,b are continuous nonnegative functions on [0,∞). There are given applications for the second-order differential nonlinear equations View the MathML source where 0<β⩽α and a,b are continuous positive functions on [0,∞). The first application brings comparison results for oscillation of two generalized Emden–Fowler equations, the second one shows the similarities and discrepancies for nonoscillatory half-linear and linear differential equations.