Existence Result for Singular Second Order Dynamic Equations with Mixed Boundary Conditions
Analysis of PDEs
2025-06-23 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We explore singular second-order boundary value problems with mixed boundary conditions on a general time scale. Using the lower and upper solutions method combined with the Brouwer fixed point theorem we demonstrate the existence of a positive solution and obtain the desired solution by using a sequence of solutions to a sequence of nonsingular second-order equations and passing to the limit.
Cite
@article{arxiv.2506.16505,
title = {Existence Result for Singular Second Order Dynamic Equations with Mixed Boundary Conditions},
author = {Shalmali Bandyopadhyay and Curtis J Kunkel},
journal= {arXiv preprint arXiv:2506.16505},
year = {2025}
}