On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU143524" target="_blank" >RIV/00216305:26210/22:PU143524 - isvavai.cz</a>

Result on the web

<a href="https://www.degruyter.com/document/doi/10.1515/gmj-2021-2117/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/gmj-2021-2117/html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/gmj-2021-2117" target="_blank" >10.1515/gmj-2021-2117</a>

Result language

angličtina

Original language name

On a structure of the set of positive solutions to second-order equations with a super-linear non-linearity

Original language description

We study the existence and multiplicity of positive solutions to the periodic problem $$ u '' = p(t)u - q(t, u)u + f(t);quad u(0) = u(omega), u'(0) = u'(omega), $$ where $p,f$ is an element of $L([0,omega])$ and $q: [0,omega] times Rto R$ is a Caratheodory function. By using the method of lower and upper functions, we show some properties of the solution set of the considered problem and, in particular, the existence of a minimal positive solution.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Georgian Mathematical Journal

ISSN

1572-9176

e-ISSN

1572-9176

Volume of the periodical

29

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

14

Pages from-to

139-152

UT code for WoS article

000737405800001

EID of the result in the Scopus database

2-s2.0-85118971790