In this chapter we study a class of second-order integro-dynamic equations on time scales. A new topological approach is applied to prove the existence of at least two non-negative solutions. The arguments are based upon a recent theoretical result.
Part of the book: Recent Developments in the Solution of Nonlinear Differential Equations
In this chapter we introduce the Fourier transform on arbitrary time scales and deduct some of its properties. In the chapter are given some applications for second-order integro-dynamic equations on time scales.
Part of the book: Recent Developments in the Solution of Nonlinear Differential Equations