The existence of a solution for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions is established. Such equations occur in the study of the p-Laplace equation, generalized reaction-diffusion theory, non-Newtonian fluid theory, and in the study of turbulent flows of a gas in a porous medium. The results are obtained by using upper and lower solutions, and extend some previously known results.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-3-3,
author = {Zuodong Yang},
title = {Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions},
journal = {Annales Polonici Mathematici},
volume = {83},
year = {2004},
pages = {211-218},
zbl = {1096.45008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-3-3}
}
Zuodong Yang. Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions. Annales Polonici Mathematici, Tome 83 (2004) pp. 211-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-3-3/