Weak solutions for the dynamic equations $x^{\Delta(m)}(t) = f (t; x(t))$ on time scales

Weak solutions for the dynamic equations $x^{\Delta(m)}(t) = f (t; x(t))$ on time scales

In this paper we prove the existence of weak solutions of the dynamic Cauchy problem \begin{equation*} \begin{split} x^{(\Delta m)}(t)&=f(t,x(t)),\quad t\in T, \\ x(0)&=0, \\ x^\Delta (0)&=\eta _1 ,\dots,x^{(\Delta (m-1))}(0)=\eta _{m-1},\quad \eta _1 ,\dots,\eta _{m-1} \in E, \end...

Full description

Bibliographic Details
Main Authors: Aneta Sikorska-Nowak, Samir Saker
Format: Article
Language:English
Published: University of Szeged 2014-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
cauchy dynamic problem
banach space
measure of weak noncompactness
weak solutions
time scales
fixed point
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2693

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2693

Similar Items