Title: Existence and nonexistence results for nth order non-homogeneous three point boundary value problems
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-21-00059; Volume 5 / Issue 1 / Year 2023, Pages 34-42
Document Type: Research Paper
Author(s): Rajendra Prasad Kapula a , Sreedhar Namburi b , Mahanty Rashmita c
aDepartment of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India
bDepartment of Mathematics, GITAM (Deemed to be University), Visakhapatnam, 530 045, India
cDepartment of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India
Received: 26 September 2021, Accepted: 12 December 2022, Published: 13 January 2023
Corresponding Author: Sreedhar Namburi (Email address: firstname.lastname@example.org)
Full Text: PDF
In this paper, we present criteria for the existence and nonexistence of positive solutions to nth order differential equations
, 0< < 1
fulfilling non-homogeneous three point conditions
where are constants and is a parameter by an application of fixed point index theory.
Keywords: Green’s function, differential equation, non-homogeneous three point conditions, positive solution, fixed point index theoryReferences:
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