On one two-point BVP for the fourth order linear ordinary differential equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00475575" target="_blank" >RIV/67985840:_____/17:00475575 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1515/gmj-2016-0077" target="_blank" >http://dx.doi.org/10.1515/gmj-2016-0077</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/gmj-2016-0077" target="_blank" >10.1515/gmj-2016-0077</a>

Result language

angličtina

Original language name

On one two-point BVP for the fourth order linear ordinary differential equation

Original language description

In this article we consider the two-point boundary value problem { u((4))(t) = p(t)u(t) + h(t) for a <= t <= b, u(i)(a) = c(1i), u((i))(b) = c(2i) (i = 0, 1), where c(1i), c(2i) is an element of R, h, p is an element of L([a, b]: R). Here we study the question of dimension of the space of nonzero solutions and oscillatory behaviors of nonzero solutions on the interval [a, b] for the corresponding homogeneous problem, and establish efficient sufficient conditions of solvability for the nonhomogeneous problem.

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

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

Georgian Mathematical Journal

ISSN

1072-947X

e-ISSN

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Volume of the periodical

24

Issue of the periodical within the volume

2

Country of publishing house

GE - GEORGIA

Number of pages

11

Pages from-to

265-275

UT code for WoS article

000402409500009

EID of the result in the Scopus database

2-s2.0-85020485774