title: On integration of special types of diﬀerential inequalities in explicit form
metadata.name: dc.contributor.author
metadata.value: Iljin, Yuriy A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T10:58:06Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T10:58:06Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Iljin Yu.A. On integration of special types of differential inequalities in explicit form. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 196–207.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.202
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15552
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the previous work, the author proposed a general method for ﬁnding all solutions of the diﬀerential inequality in explicit form, which is based on the formula of the general solution of the corresponding diﬀerential equation or, in other words on the method of the variation of arbitrary constants. Criteria of extendibility of solutions and characteristics of the maximally extended (full) solution of the inequality had been proven. In the present paper, these results are applied speciﬁc types of inequalities to the most frequently encountered in applications and literature. We also compare them to other methods in existing literature.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант № 19-01-00388).
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: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: differential inequality
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: comparison theorems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: integration in explicit form
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: general solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: method of variations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: continuation of solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonuniqueness points
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On integration of special types of diﬀerential inequalities in explicit form
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 196-207.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15552/1/196-207.pdf
resources.format: Adobe PDF
resources.size: 323,83 kB