Volterra Integral Equations on Unbounded Time Scales

International Journal of Difference Equations 2019
Andrejs Reinfelds, Shraddha Ramanbhai Christian

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 getting new sufficient conditions for boundedness of solutions.

Keywords
Volterra integral equation on time scales, bounded solution
Hyperlink
https://www.ripublication.com/ijde/v14n2p5.pdf

Reinfelds, A., Christian, S. Volterra Integral Equations on Unbounded Time Scales. International Journal of Difference Equations, 2019, Vol. 14, No. 2, pp.169-177. ISSN 0973-6069.

Publication language
English (en)