Nonnegative solutions of discrete resonant second-order boundary value problems

Jonnalagadda, Jagan Mohan

doi:10.22075/ijnaa.2026.36769.5392

Nonnegative solutions of discrete resonant second-order boundary value problems

Articles in Press

Document Type : Research Paper

Author

Jagan Mohan Jonnalagadda

Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad, Telangana 500078, India

10.22075/ijnaa.2026.36769.5392

Abstract

This article examines a second-order difference equation's boundary value problem at resonance. First, we build a typical fixed point operator using a shift parameter. Next, in order to provide sufficient conditions for the existence of nonnegative solutions to the problem under consideration, we use an appropriate fixed point theorem. In conclusion, we offer a pair of instances to demonstrate the relevance of established findings.

Keywords

Discrete boundary value problem

resonance

fixed point

existence

nonnegative solution

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