Periodic boundary value problem of a fourth order differential inclusion

Švec, Marko. "Periodic boundary value problem of a fourth order differential inclusion." Archivum Mathematicum 033.1-2 (1997): 167-171. <http://eudml.org/doc/248040>.

@article{Švec1997,
abstract = {The paper deals with the periodic boundary value problem (1) $L_4 x(t) + a(t)x(t) \in F(t,x(t))$, $t\in J= [a,b]$, (2) $L_i x(a)= L_i x(b)$, $i=0,1,2,3$, where $L_0x(t)= a_0x(t)$, $L_ix(t)=a_i(t)L_\{i-1\}x(t)$, $i=1,2,3,4$, $a_0(t)= a_4(t)=1$, $a_i(t)$, $i=1,2,3$ and $a(t)$ are continuous on $J$, $a(t)\ge 0$, $a_i(t)>0$, $i=1,2$, $a_1(t)= a_3(t)\cdot F(t,x): J \times R \rightarrow $\{nonempty convex compact subsets of $R$\}, $R= (-\infty , \infty )$. The existence of such periodic solution is proven via Ky Fan’s fixed point theorem.},
author = {Švec, Marko},
journal = {Archivum Mathematicum},
keywords = {nonlinear boundary value problem; differential inclusion; measurable selector; Ky Fan’s fixed point theorem; nonlinear boundary value problems; differential inclusion; measurable selector; Ky Fan's fixed point theorem},
language = {eng},
number = {1-2},
pages = {167-171},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Periodic boundary value problem of a fourth order differential inclusion},
url = {http://eudml.org/doc/248040},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Švec, Marko
TI - Periodic boundary value problem of a fourth order differential inclusion
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 1-2
SP - 167
EP - 171
AB - The paper deals with the periodic boundary value problem (1) $L_4 x(t) + a(t)x(t) \in F(t,x(t))$, $t\in J= [a,b]$, (2) $L_i x(a)= L_i x(b)$, $i=0,1,2,3$, where $L_0x(t)= a_0x(t)$, $L_ix(t)=a_i(t)L_{i-1}x(t)$, $i=1,2,3,4$, $a_0(t)= a_4(t)=1$, $a_i(t)$, $i=1,2,3$ and $a(t)$ are continuous on $J$, $a(t)\ge 0$, $a_i(t)>0$, $i=1,2$, $a_1(t)= a_3(t)\cdot F(t,x): J \times R \rightarrow ${nonempty convex compact subsets of $R$}, $R= (-\infty , \infty )$. The existence of such periodic solution is proven via Ky Fan’s fixed point theorem.
LA - eng
KW - nonlinear boundary value problem; differential inclusion; measurable selector; Ky Fan’s fixed point theorem; nonlinear boundary value problems; differential inclusion; measurable selector; Ky Fan's fixed point theorem
UR - http://eudml.org/doc/248040
ER -