Integro-differential systems with variable exponents of nonlinearity

Oleh Buhrii; Nataliya Buhrii

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 859-883
  • ISSN: 2391-5455

Abstract

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Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.

How to cite

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Oleh Buhrii, and Nataliya Buhrii. "Integro-differential systems with variable exponents of nonlinearity." Open Mathematics 15.1 (2017): 859-883. <http://eudml.org/doc/288330>.

@article{OlehBuhrii2017,
abstract = {Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.},
author = {Oleh Buhrii, Nataliya Buhrii},
journal = {Open Mathematics},
keywords = {Nonlinear parabolic equation; Integro-differential equation; Generalized Lebesgue space; Generalized Sobolev space; Variable exponents of nonlinearity},
language = {eng},
number = {1},
pages = {859-883},
title = {Integro-differential systems with variable exponents of nonlinearity},
url = {http://eudml.org/doc/288330},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Oleh Buhrii
AU - Nataliya Buhrii
TI - Integro-differential systems with variable exponents of nonlinearity
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 859
EP - 883
AB - Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
LA - eng
KW - Nonlinear parabolic equation; Integro-differential equation; Generalized Lebesgue space; Generalized Sobolev space; Variable exponents of nonlinearity
UR - http://eudml.org/doc/288330
ER -

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