All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Existence of unbounded solutions of a linear homogenous system of differential equations with two delays

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU111009" target="_blank" >RIV/00216305:26110/14:PU111009 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10243" target="_blank" >http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10243</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3934/dcdsb.2014.19.2447" target="_blank" >10.3934/dcdsb.2014.19.2447</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence of unbounded solutions of a linear homogenous system of differential equations with two delays

  • Original language description

    Asymptotic behavior of solutions of a linear homogeneous system of differential equations with deviating arguments in the form dot y(t)=beta(t)left[y(t-delta)-y(t-tau)right] is discussed for ttoinfty. It is assumed that y is an n-dimensional column vector, n>1$is an integer, delta,tauin{mathbb{R}}, tau>delta>0 and beta(t) is an ntimes n matrix defined for tgeq t_{0}, t_{0}inmathbb{R}, and such that its elements are nonnegative, continuous functions and in every row of this matrix is each time at least one element nonzero. The existence of solutions in an exponential form under certain assumptions is proved. Sufficient conditions for the existence of unbounded solutions are derived. The estimations for a solution are given and the scalar case is discussed as well.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/ED2.1.00%2F03.0097" target="_blank" >ED2.1.00/03.0097: AdMaS - Advanced Materials, Structures and Technologies</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

  • ISSN

    1531-3492

  • e-ISSN

    1553-524X

  • Volume of the periodical

    19

  • Issue of the periodical within the volume

    2014

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    2447-2459

  • UT code for WoS article

    000341776200007

  • EID of the result in the Scopus database

    2-s2.0-84907042847