Existence of countably many symmetric positive solutions for system of even order time scale boundary value problems in Banach spaces

Existence of countably many symmetric positive solutions for system of even order time scale boundary value problems in Banach spaces

The Existence of Symmetric Positive Solutions of Fourth-Order Elastic Beam Equations

In this study, we consider the eigenvalue problems of fourth-order elastic beam equations. By using Avery and Peterson’s fixed point theory, we prove the existence of symmetric positive solutions for four-point boundary value problem (BVP). After this, we show that there is at least one positive solution by applying the fixed point theorem of Guo-Krasnosel’skii.

Symmetric positive solutions for the systems of higher-order boundary value problems on time scales

In this paper, we discuss the existence of symmetric positive solutions for the systems of higher-order boundary value problems on time scales. Our results extend some recent work in the literature. The analysis of this paper mainly relies on the monotone iterative technique.