MULTIPLE POSITIVE SYMMETRIC SOLUTIONS FOR THE FOURTH-ORDER ITERATIVE DIFFERENTIAL EQUATIONS WITH IHPH OPERATOR

Prasad, Kapula Rajendra; Bhushanam, Kosuri; Namburi, Sreedhar

doi:10.22034/cmde.2025.64157.2890

MULTIPLE POSITIVE SYMMETRIC SOLUTIONS FOR THE FOURTH-ORDER ITERATIVE DIFFERENTIAL EQUATIONS WITH IHPH OPERATOR

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam-530003, Andhra Pradesh, India.

² Department of Mathematics, School of Science, GITAM (Deemed to be University), Visakhapatnam-530045, Andhra Pradesh, India.

10.22034/cmde.2025.64157.2890

Abstract

The purpose of this paper is to investigate the existence of positive symmetric solutions for fourth order iterative systems with two point integral boundary conditions involving increasing homeomorphism and positive homomorphism operator. Firstly, we establish the existence of at least two positive symmetric solutions by using Avery-Henderson fixed point theorem. Later, we derive conditions for the existence of at least three positive symmetric solutions by using Avery-Peterson fixed point theorem.

Keywords