Bounded and -solutions to a second order nonlinear differential equation with a square integrable forcing term.
The paper is concerned with oscillation properties of -th order neutral differential equations of the form where is a real number with , , , with and . Sufficient conditions are established for the existence of positive solutions and for oscillation of bounded solutions of the above equation. Combination of these conditions provides necessary and sufficient conditions for oscillation of bounded solutions of the equation. Furthermore, the results are generalized to equations in which...
Si dà un risultato di esistenza e unicità di una soluzione limitata in per un'equazione di Riccati infinito-dimensionale.
We give an existence theorem for bounded solutions to a system of second order ODEs. Dynamical applications are considered.