Abstract
A monotone iterative technique is applied to prove the existence of the extremal positive pseudosymmetric solutions for a three-point second-order -Laplacian integrodifferential boundary value problem.
Highlights
Investigation of positive solutions of multipoint second-order ordinary boundary value problems, initiated by Il’in and Moiseev [1, 2], has been extensively addressed by many authors, for instance, see [3,4,5,6]
Multipoint problems refer to a different family of boundary conditions in the study of disconjugacy theory [7]
There has been a considerable attention on p-Laplacian boundary value problem (BVP) [9,10,11,12,13,14,15,16,17,18] as p-Laplacian appears in the study of flow through porous media (p = 3/2), nonlinear elasticity (p ≥ 2), glaciology (1 ≤ p ≤ 4/3), and so forth
Summary
Investigation of positive solutions of multipoint second-order ordinary boundary value problems, initiated by Il’in and Moiseev [1, 2], has been extensively addressed by many authors, for instance, see [3,4,5,6]. Multipoint problems refer to a different family of boundary conditions in the study of disconjugacy theory [7]. Eloe and Ahmad [8] addressed a nonlinear nth-order BVP with nonlocal conditions. We develop a monotone iterative technique to prove the existence of extremal positive pseudosymmetric solutions for the following three-point second-order p-Laplacian integrodifferential boundary value problem (BVP): ψp x (t).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
