In this paper, using the Leray-Schauder degree theory, the new results on the existence
and uniqueness of anti-periodic solutions are established for a kind of nonlinear high
order differential equations with multiple deviating arguments of the form
\begin{eqnarray*} x^{(n)}(t)+f(t,x^{(n-1)}(t))+\sum_{i=1}^n g_i(t,x(t-\tau_i(t)))=e(t)
\end{eqnarray*} Finally, an example is also given to demonstrate the obtaining results.
Publié le : 2011-01-15
Classification:
nth-order differential equations,
Deviating argument,
Anti-periodic solution,
Existence and uniqueness,
Leray-Schauder degree,
34K13,
34K25,
34D40
@article{1293054279,
author = {Liu , Aimin and Feng , Chunhua},
title = {Anti-Periodic Solutions for a Kind of High Order Differential
Equations with Multi-Delay},
journal = {Commun. Math. Anal.},
volume = {11},
number = {1},
year = {2011},
pages = { 137-150},
language = {en},
url = {http://dml.mathdoc.fr/item/1293054279}
}
Liu , Aimin; Feng , Chunhua. Anti-Periodic Solutions for a Kind of High Order Differential
Equations with Multi-Delay. Commun. Math. Anal., Tome 11 (2011) no. 1, pp. 137-150. http://gdmltest.u-ga.fr/item/1293054279/