Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

On the radius of spatial analyticity for the higher order nonlinear dispersive equation

Aissa Boukarou;  Kaddour Guerbati;  Khaled Zennir — 2022

Mathematica Bohemica

In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data u 0 . The analytic initial data can be extended as holomorphic functions in a strip around the x -axis. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019).

Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces

Hammouche Hadda;  Guerbati Kaddour;  Benchohra Mouffak;  Abada Nadjat — 2013

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type.

Page 1

Download Results (CSV)