Averaging results for semilinear functional differential equations with infinite delay in a Banach space: a case of non uniqueness of solutions

Abstract

We aim in this paper to establish averaging results in a case of non uniqueness of the mild solutions for semilinear functional differential equations in a Banach space with infinite delay on an abstract phase space and defined by the equation

Authors and Affiliations

Lahcene Guedda, Abderrahmane Ouardani

Keywords

Related Articles

Existence of solutions for a second order problem on the half-line via Ekeland's variational principle

In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland's variational principle.

Some Averaging Results for Ordinary Differential Inclusions

We consider ordinary differential inclusions and we state and discuss some averaging results for these inclusions. Our results are proved under weaker conditions than the results in the literature.

On some properties of quotients of homogeneous C(K) spaces

We say that an infinite, zero dimensional, compact Hausdorff space K has property (*) if for every nonempty open subset U of K there exists an open and closed subset V of U which is homeomorphic to K. We show that if K i...

New results on fractional neutral integro-differential systems with state-dependent delay via resolvent operators

In this manuscript, we set up sufficient conditions for existence and uniqueness of solutions for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. Our methodology...

On the mutually non isomorphic lp(lq) spaces, a survey

In this note we survey the partial results needed to show the following general theorem: {lp(lq) : 1≤ p,q≤+∞} is a family of mutually non isomorphic Banach spaces. We also comment some related facts and open problems.

Download PDF file
  • EP ID EP481542
  • DOI 10.7151/dmdico.1193
  • Views 42
  • Downloads 0

How To Cite

Lahcene Guedda, Abderrahmane Ouardani (2017). Averaging results for semilinear functional differential equations with infinite delay in a Banach space: a case of non uniqueness of solutions. Discussiones Mathematicae Differential Inclusions Control and Optimization, 37(1), 35-60. https://europub.co.uk/articles/-A-481542