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Lasota-Opial type conditions for periodic problem for systems of higher-order functional differential equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00525395" target="_blank" >RIV/67985840:_____/20:00525395 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1186/s13660-020-02414-9" target="_blank" >https://doi.org/10.1186/s13660-020-02414-9</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1186/s13660-020-02414-9" target="_blank" >10.1186/s13660-020-02414-9</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Lasota-Opial type conditions for periodic problem for systems of higher-order functional differential equations

  • Original language description

    In the paper we study the question of solvability and unique solvability of systems of the higher-order functional differential equations u(i)((mi)) (t) = l(i)(ui+1)(t) + q(i)(t) (i = (1, n) over bar) for t is an element of I := [a, b] and u(i)((mi)) (t) = F-i(u)(t) + q(0i)(t) (i = (1, n) over bar) for t is an element of I under the periodic boundary conditions u(i)((j))(b) - u(i)((j))(a) = c(ij) (i = (1, n) over bar, j = (0, mi - 1) over bar), where u(n+ 1) = u(1), mi = 1, n = 2, c(ij) is an element of R, q(i), q(0i) is an element of L(I, R), l(i) : C-1(0) (I, R) -> L(I, R) are monotone operators and F-i are the local Caratheodory's class operators. In the paper in some sense optimal conditions that guarantee the unique solvability of the linear problem are obtained, and on the basis of these results the optimal conditions of the solvability and unique solvability for the nonlinear problem are proved.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Inequalities and Applications

  • ISSN

    1029-242X

  • e-ISSN

  • Volume of the periodical

    2020

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    20

  • Pages from-to

    155

  • UT code for WoS article

    000540586200002

  • EID of the result in the Scopus database

    2-s2.0-85085967386