Multiple positive symmetric solutions for the fourth-order iterative differential equations with the IHPH operator

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

doi:10.22034/cmde.2025.64157.2890

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	Multiple positive symmetric solutions for the fourth-order iterative differential equations with the IHPH operator
Computational Methods for Differential Equations
مقاله 9، دوره 14، شماره 4، دی 2026، صفحه 1656-1676 اصل مقاله (726.81 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64157.2890
نویسندگان
Kapula Rajendra Prasad^* ¹؛ Kosuri Bhushanam¹؛ Sreedhar Namburi²
¹Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam-530003, Andhra Pradesh, India.
²Department of Mathematics, School of Science, GITAM (Deemed to be University), Visakhapatnam-530045, Andhra Pradesh, India.
چکیده
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 operators. Firstly, we establish the existence of at least two positive symmetric solutions by using the Avery-Henderson fixed-point theorem. Later, we derive conditions for the existence of at least three positive symmetric solutions by using the Avery-Peterson fixed-point theorem.
کلیدواژه‌ها
Cone؛ Fixed-point theorems؛ Green’s function؛ Iterative system؛ Positive symmetric solutions

مراجع
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Multiple positive symmetric solutions for the fourth-order iterative differential equations with the IHPH operator