Existence results for a class of quasilinear integrodifferential equations of Volterra–Hammerstein type with nonlinear boundary conditions
Volume 84 / 2004
Annales Polonici Mathematici 84 (2004), 211-218
MSC: Primary 34B15.
DOI: 10.4064/ap84-3-3
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.
