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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of Inequalities and Applications

ISSN

1029-242X

e-ISSN

—

Svazek periodika

2020

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

20

Strana od-do

155

Kód UT WoS článku

000540586200002

EID výsledku v databázi Scopus

2-s2.0-85085967386