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.
@article{bwmeta1.element.doi-10_1515_math-2017-0069,
author = {Oleh Buhrii and Nataliya Buhrii},
title = {Integro-differential systems with variable exponents of nonlinearity},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {859-883},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0069}
}
Oleh Buhrii; Nataliya Buhrii. Integro-differential systems with variable exponents of nonlinearity. Open Mathematics, Tome 15 (2017) pp. 859-883. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0069/