Periodic problem with o-Laplacian involving non-ordered lower and upper functions

Result code in IS VaVaI

RIV/67985840:_____/05:00343949 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Periodic problem with o-Laplacian involving non-ordered lower and upper functions

Original language description

Existence principles for the BVP $${/aligned (/phi(u^{/prime}))^{/prime}&=f(t,u,u^{/prime}),/ u(0)=u(T)&,/quad u^{/prime}(0)=u^{/prime}(T),/endaligned} /tag{1}$$ in which $f:[0,T]/times{/Bbb R}/to {/Bbb R}$ is an $L_1$-Carathéodory function and $/phi:{/Bbb R}/to {/Bbb R}$ is an increasing homeomorphism such that $/phi(/Bbb R)=/Bbb R$ are presented. They are based on the method of lower/upper functions and on Leray-Schauder topological degree. In contrast to the results known up to now, we need not assume that they are well-ordered.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

GA201/04/0690: Reimannian approach to integration in connection with classical mathematical analysis

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

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

Name of the periodical

Fixed point theory : An international journal on fixed point theory, computation and applications

ISSN

1583-5022

e-ISSN

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Volume of the periodical

6

Issue of the periodical within the volume

1

Country of publishing house

RO - ROMANIA

Number of pages

14

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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