A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini; Salim A. Messaoudi; Serge Nicaise

doi:10.1007/s00030-016-0371-4

A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini
, Salim A. Messaoudi
, Serge Nicaise^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

Original language	English
Article number	13
Journal	Nonlinear Differential Equations and Applications
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s00030-016-0371-4
State	Published - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

Abstract evolution system
Blow up
Delay
Second order

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00030-016-0371-4

Cite this

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title = "A blow-up result in a nonlinear abstract evolution system with delay",

abstract = "In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.",

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AU - Messaoudi, Salim A.

AU - Nicaise, Serge

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AB - In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

KW - Abstract evolution system

KW - Blow up

KW - Delay

KW - Second order

UR - https://www.scopus.com/pages/publications/84961717990

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DO - 10.1007/s00030-016-0371-4

M3 - Article

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JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

IS - 2

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ER -

A blow-up result in a nonlinear abstract evolution system with delay

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this