Theorems on differential inequalities and periodic boundary value problem for second-order ordinary differential equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00460328" target="_blank" >RIV/67985840:_____/16:00460328 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26210/16:PU120605

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Theorems on differential inequalities and periodic boundary value problem for second-order ordinary differential equations

Original language description

The aim of the present article is to get efficient conditions for the solvability of the periodic boundary value problém $$ u''=f(t,u)quad u(0)=u(omega), u'(0)=u'(omega), $$ where the function $fcolon[0,omega]times,]0,+infty[,tobbr$ satisfies local Ca-ra-th'{e}o-do-ry conditions, i.e., it may have ''singularity'' for $u=0$. For this purpose, first the technique of differential inequalities is developed and the question on existence and uniqueness of a~positive solution of the linear problém $$ u''=p(t)u+q(t)quad u(0)=u(omega), u'(0)=u'(omega) $$ is studied. A~systematic application of the above-mentioned technique enables one to derive sufficient and in certain cases also necessary conditions for the solvability of the nonlinear problem considered.

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

10102 - Applied mathematics

Project

<a href="/en/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Name of the periodical

Memoirs on Differential Equations and Mathematical Physics

ISSN

1512-0015

e-ISSN

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Volume of the periodical

67

Issue of the periodical within the volume

1

Country of publishing house

GE - GEORGIA

Number of pages

129

Pages from-to

1-129

UT code for WoS article

000410765300001

EID of the result in the Scopus database

2-s2.0-84960401059