Positive solutions to semi-positone second-order three-point problems on time scales

DOI10.1016/J.AMC.2009.11.010zbMath1188.34119OpenAlexW2104916193MaRDI QIDQ846492

Douglas R. Anderson, Cheng-Bo Zhai

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.010

zbMATH Keywords

conetime scalesdynamic equationssemipositonefixed-point theoremsthree-point boundary value problem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Dynamic equations on time scales or measure chains (34N05)

Related Items (15)

Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale ⋮ Multiple positive solutions of a semipositone singular boundary value problem on time scales ⋮ Positive fixed points for semipositone operators in ordered Banach spaces and applications ⋮ Systems of semipositone discrete fractional boundary value problems ⋮ A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs ⋮ Existence of solutions for \(\mathrm{m}\)-point boundary value problems on an infinite time scale ⋮ On a first-order semipositone discrete fractional boundary value problem ⋮ New fixed point theorems of mixed monotone operators and applications to singular boundary value problems on time scales ⋮ Analysis of implicit system of fractional order via generalized boundary conditions ⋮ Unnamed Item ⋮ On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Existence of positive solutions for the second order semipositone \(m\)-point boundary value problem on time scales ⋮ Solutions to nonlinear second-order three-point boundary value problems of dynamic equations on time scales ⋮ On semipositone discrete fractional boundary value problems with non-local boundary conditions

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• Positive solutions for semi-positone three-point boundary value problems
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• Positive solutions for a nonlinear differential equation on a measure chain
• On Green's functions and positive solutions for boundary value problems on time scales
• Second-order \(n\)-point eigenvalue problems on time scales
• Positive solutions for second-order three-point boundary value problems

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