On the solvability of a cantilever-type boundary value problem by using the mixed monotone operator

DOI10.1007/S11117-023-01007-2MaRDI QIDQ6073922

J. Harjani, Kishin Sadarangani, Belén López

Publication date: 18 September 2023

Published in: Positivity (Search for Journal in Brave)

zbMATH Keywords

positive solutionmixed monotone operatorcantilever-type boundary value problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

• Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
• Existence of solutions for a cantilever beam problem
• New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation
• Existence of positive solutions for the cantilever beam equations with fully nonlinear terms
• Thompson's metric and mixed monotone operators
• New fixed point theorems of mixed monotone operators and applications
• Fixed point theorems for a class of mixed monotone operators
• Existence and uniqueness of positive solutions for singular nonlinear fractional differential equation via mixed monotone operator method
• Monotonically iterative method of nonlinear cantilever beam equations
• Mixed monotone operators and their application to integral equations
• New fixed point theorems for the sum of two mixed monotone operators of Meir-Keeler type and their applications to nonlinear elastic beam equations
• The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems
• Coupled fixed points of nonlinear operators with applications
• Fixed points of mixed monotone operators with applications
• Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method

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