Volterra Integral Equations on Unbounded Time Scales

Andrejs Reinfelds, Shraddha Christian
2019 International journal of difference equations  
This paper introduces a more general result on existence, uniqueness and boundedness for solutions of nonlinear Volterra integral equation on time scales. We use Lipschitz type function, which can be an unbounded, and the Banach fixed point theorem at appropriate functional space. Furthermore it allows to get new sufficient conditions for boundedness of solutions.
doi:10.37622/ijde/14.2.2019.169-177 fatcat:etcwlijvsrcpldsxs5zzhfnkky