Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions

Zuodong Yang. "Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions." Annales Polonici Mathematici 84.3 (2004): 211-218. <http://eudml.org/doc/280805>.

@article{ZuodongYang2004,
abstract = {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.},
author = {Zuodong Yang},
journal = {Annales Polonici Mathematici},
keywords = {integrodifferential equation of Volterra-Hammerstein type; nonlinear boundary value problem; upper and lower solutions; quasilinear integrodifferential equations; monotonicity; Nagumo type growth condition},
language = {eng},
number = {3},
pages = {211-218},
title = {Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions},
url = {http://eudml.org/doc/280805},
volume = {84},
year = {2004},
}

TY - JOUR
AU - Zuodong Yang
TI - Existence results for a class of quasilinear integrodifferential equations of Volterra-Hammerstein type with nonlinear boundary conditions
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 3
SP - 211
EP - 218
AB - 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.
LA - eng
KW - integrodifferential equation of Volterra-Hammerstein type; nonlinear boundary value problem; upper and lower solutions; quasilinear integrodifferential equations; monotonicity; Nagumo type growth condition
UR - http://eudml.org/doc/280805
ER -