Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33149125" target="_blank" >RIV/61989592:15310/14:33149125 - isvavai.cz</a>

Result on the web

<a href="http://www.boundaryvalueproblems.com/content/pdf/1687-2770-2014-118.pdf" target="_blank" >http://www.boundaryvalueproblems.com/content/pdf/1687-2770-2014-118.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1186/1687-2770-2014-118" target="_blank" >10.1186/1687-2770-2014-118</a>

Result language

angličtina

Original language name

Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem

Original language description

The paper provides an existence principle for a general boundary value problem of the form sum_{j=0}^{n} a_j(t) u^(j)(t) = h(t,u(t),...,u^(n-1)(t)), a.e. t in [a,b] subset R, l_k(u,u',...,u^(n-1)) = c_k, k = 1,ldots,n, with the state dependent impulsesu^(j)(t+) - u^(j)(t-) = J_{ij}(u(t-),u'(t-),...,u^(n-1)(t-)), where the impulse points t are determined as solutions of the equations t = gamma_i(u(t-),u'(t-),...,u^(n-2)(t-)), i = 1,...,p, j=0,...,n-1. Here, n,p are positive integers, c_1,..., c_n reals, the functions a_j/a_n, j=0,...,n-1, are Lebesgue integrable on [a,b] and h/a_n satisfies the Caratheodory conditions on [a,b]R^n$. The impulse functions J_{ij}, i=1,...,p, j=0,...,n-1, and the barrier functions gamma_i, i = 1,...,p, are continuous onR^n and R^{n-1}, respectively. The functionals l_k, k=1,...,n, are linear and bounded on the space of left-continuous regulated (i.e. having finite one-sided limits at each point) on [a,b] vector functions. Provided the data functions h a

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

2014

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

2014

Issue of the periodical within the volume

118

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

1-15

UT code for WoS article

000347388800003

EID of the result in the Scopus database

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