title: On the Existence and Uniqueness of a Positive Solution to a Boundary Value Problem for One Nonlinear Functional - Differential Equation of Even Order
metadata.name: dc.contributor.author
metadata.value: Abduragimov, Gusen Elderkhanovich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-04-11T09:46:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-04-11T09:46:25Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.103
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41276
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this article, we consider a two-point boundary value problem for one nonlinear functional differential equation of even order with strong non-linearity on segment [0,1] with homogeneous boundary conditions. With the use of special topological means, sufficient conditions for the existence and uniqueness of a positive solution to the problem under consideration. Existence of a positive solution proved using the well-known Krasnoselsky theorem on a fixed point in a cone, uniqueness is respectively established using the contraction mapping principle. A non-trivial example is given, illustrating the fulfillment of sufficient conditions unique solvability of the problem.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: boundary value problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: positive solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Green's function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: cone
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the Existence and Uniqueness of a Positive Solution to a Boundary Value Problem for One Nonlinear Functional - Differential Equation of Even Order
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 24-33.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41276/1/24-33.pdf
resources.format: Adobe PDF
resources.size: 307,13 kB