A new approach to BVPs with state-dependent impulses

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33143374" target="_blank" >RIV/61989592:15310/13:33143374 - isvavai.cz</a>

Result on the web

<a href="http://www.boundaryvalueproblems.com/content/pdf/1687-2770-2013-22.pdf" target="_blank" >http://www.boundaryvalueproblems.com/content/pdf/1687-2770-2013-22.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1186/1687-2770-2013-22" target="_blank" >10.1186/1687-2770-2013-22</a>

Result language

angličtina

Original language name

A new approach to BVPs with state-dependent impulses

Original language description

The paper deals with the second-order Dirichlet boundary value problem with one state-dependent impulse z''(t)=f(t,z(t)) for a.e. t in [0,T], z'(tau+)?z'(tau?)=I(z(tau)),tau=gamma(z(tau)), z(0)=0,z(T)=0. Proofs of the main results contain a new approachto boundary value problems with state-dependent impulses which is based on a transformation to a fixed point problem of an appropriate operator in the space C1([0,T])xC1([0,T]). Sufficient conditions for the existence of solutions to the problem are given here. The presented approach can be extended to more impulses and to other boundary conditions.

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

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2013

Confidentiality

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

Name of the periodical

Boundary Value Problems

ISSN

1687-2770

e-ISSN

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Volume of the periodical

2013

Issue of the periodical within the volume

22

Country of publishing house

DE - GERMANY

Number of pages

13

Pages from-to

1-13

UT code for WoS article

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EID of the result in the Scopus database

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