Second order evolution differential functional equations with infinite delay

Tomasz Człapiński; Adrian Karpowicz

Commentationes Mathematicae (2018)

  • Volume: 58, Issue: 1-2
  • ISSN: 2080-1211

Abstract

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We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.

How to cite

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Tomasz Człapiński, and Adrian Karpowicz. "Second order evolution differential functional equations with infinite delay." Commentationes Mathematicae 58.1-2 (2018): null. <http://eudml.org/doc/295214>.

@article{TomaszCzłapiński2018,
abstract = {We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.},
author = {Tomasz Człapiński, Adrian Karpowicz},
journal = {Commentationes Mathematicae},
keywords = {Measure of noncompactness; second order evolution equation; infinite delay},
language = {eng},
number = {1-2},
pages = {null},
title = {Second order evolution differential functional equations with infinite delay},
url = {http://eudml.org/doc/295214},
volume = {58},
year = {2018},
}

TY - JOUR
AU - Tomasz Człapiński
AU - Adrian Karpowicz
TI - Second order evolution differential functional equations with infinite delay
JO - Commentationes Mathematicae
PY - 2018
VL - 58
IS - 1-2
SP - null
AB - We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.
LA - eng
KW - Measure of noncompactness; second order evolution equation; infinite delay
UR - http://eudml.org/doc/295214
ER -

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