Inequalities based on a generalization of concavity

DOI10.1090/S0002-9939-97-03800-8zbMath0868.34008OpenAlexW1532017499MaRDI QIDQ4339190

Paul W. Eloe, Johnny Henderson

Publication date: 5 June 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03800-8

zbMATH Keywords

concavitydifferential inequalities\(n\)th order differential inequalitiescone theoretic fixed point theoremshomogeneous two-point boundary inequalitiesrelated Green's function

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Differential inequalities involving functions of a single real variable (34A40)

Related Items

Bounds for solutions of multipoint boundary value problems ⋮ Two-point higher-order BVPs with singularities in phase variables ⋮ Extension of continuous and discrete inequalities due to Eloe and Henderson ⋮ Singular \((k,n-k)\) boundary value problems between conjugate and right focal ⋮ Unnamed Item ⋮ Upper estimate for positive solutions of the \((p,n-p)\) conjugate boundary value problem ⋮ Multiple positive solutions of conjugate boundary value problems with singularities. ⋮ A generalization of concavity for finite differences ⋮ Twin solutions to singular Dirichlet problems ⋮ Inequalities for solutions of multipoint boundary value problems ⋮ Multiplicity results for singular conjugate, focal, and \((N,P)\) problems ⋮ Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions ⋮ The Green's function for \((k,n-k)\) conjugate boundary value problems and its applications ⋮ Upper and lower estimates of the positive solutions of a higher order boundary value problem ⋮ Existence of positive solution for singular semi-positone \((k,n - k)\) conjugate \(m\)-point boundary value problem ⋮ Positive solutions and nonlinear eigenvalue problems for functional-differential equations ⋮ Positive solutions for \((p,n-p)\) conjugate boundary value problems ⋮ Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems ⋮ Discrete kiguradze type inequalities

Cites Work

• Singular nonlinear boundary value problems for second-order ordinary differential equations
• Disconjugacy
• Singular nonlinear boundary value problems for higher order ordinary differential equations
• On the Existence of Positive Solutions of Ordinary Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item