Open Access
2019 Positive solutions to singular second-order boundary value problems for dynamic equations
Curtis Kunkel, Alex Lancaster
Involve 12(6): 1069-1080 (2019). DOI: 10.2140/involve.2019.12.1069

Abstract

We study singular second-order boundary value problems with mixed boundary conditions on an infinitely discrete time scale. We prove the existence of a positive solution by means of a lower and upper solutions method and the Brouwer fixed-point theorem, in conjunction with perturbation methods used to approximate regular problems.

Citation

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Curtis Kunkel. Alex Lancaster. "Positive solutions to singular second-order boundary value problems for dynamic equations." Involve 12 (6) 1069 - 1080, 2019. https://doi.org/10.2140/involve.2019.12.1069

Information

Received: 11 February 2019; Revised: 25 March 2019; Accepted: 30 March 2019; Published: 2019
First available in Project Euclid: 13 August 2019

zbMATH: 07116070
MathSciNet: MR3990798
Digital Object Identifier: 10.2140/involve.2019.12.1069

Subjects:
Primary: 34B16 , 34B18 , 34B40 , 39A10

Keywords: approximate regular problems , Brouwer fixed-point theorem , lower and upper solutions , mixed conditions , singular boundary value problems , Time scales

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.12 • No. 6 • 2019
MSP
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