Upper and lower solution method for a higher order ϕ -Laplacian BVPs on an infinite interval
Makaleler > Tam Makale · 2025
Yazarlar: Erbil ÇETİN, Ravi P. Agarwal, İzel Nüzket, Fatma Serap Topal
Demonstratio Mathematica, Uluslararası, Wos, 2025, cilt 58
Özet
Abstract Boundary value problems (BVPs) involving higher-order ϕ -Laplacian equations on an infinite interval are explored in this study. These problems, characterized by their nonlinear ϕ -Laplacian operators, introduce complexity and richness to the realm of differential equations. Solving BVPs on an infinite interval poses unique challenges and requires specialized mathematical techniques. One of the central methodologies employed in this research is the upper and lower solution method in an other saying monotone method, a versatile tool for establishing the existence and uniqueness of solutions for differential equations. This method is rigorously applied to investigate the properties of solutions to higher-order ϕ -Laplacian BVPs. This study contributes to the theoretical understanding of higher-order ϕ -Laplacian BVPs on an infinite interval and highlights the effectiveness of the monotone method as an analytical tool. The results hold promise for enriching the mathematical foundations of boundary value problems and their applications across diverse fields.