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A note on Fredholm integral equation
Chaitanya Gopalakrishna
This note gives results on the existence of semi-continuous solutions of a Fredholm integral equation of the second kind using Tarski's fixed point theorem.
Differentiable solutions of an equation with product of iterates
Chaitanya Gopalakrishna
In the previous work [2] (i.e., arXiv:2105.03385), we considered continuous solutions of an iterative equation involving the multiplication of iterates. In this paper, we continue…
Continuous solutions of an iterative equation with multiplication
Chaitanya Gopalakrishna, Murugan Veerapazham, Suyun Wang +1
Iterative equation is an equality with an unknown function and its iterates. There were not found a result on iterative equations with multiplication of iterates of the unknown fun…
Iteration and iterative equation on lattices
Chaitanya Gopalakrishna, Weinian Zhang
In this paper we investigate iteration of maps on lattices and the corresponding polynomial-like iterative equation. Since a lattice need not have a metric space structure, neither…
Iterative square roots of functions
B V Rajarama Bhat, Chaitanya Gopalakrishna
An iterative square root of a function is a function such that . We obtain new characterizations for detecting the non-existence of such square roots…