Geodesic
Existence results for a class of quasilinear integrodifferential equations of Volterra–Hammerstein type with nonlinear boundary conditions
Zuodong Yang1
1 School of Mathematics and Computer Science Nanjing Normal University Jiangsu, Nanjing, 210097, P. R. China
Annales Polonici Mathematici, Tome 84 (2004) no. 3, pp. 211-218.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap84-3-3
Keywords: existence solution class quasilinear integrodifferential equations volterra hammerstein type nonlinear boundary conditions established equations occur study p laplace equation generalized reaction diffusion theory non newtonian fluid theory study turbulent flows gas porous medium results obtained using upper lower solutions extend previously known results

Zuodong Yang 1

1 School of Mathematics and Computer Science Nanjing Normal University Jiangsu, Nanjing, 210097, P. R. China 
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Zuodong Yang. Existence results for a class of quasilinear
 integrodifferential equations of Volterra–Hammerstein type
 with nonlinear boundary conditions. Annales Polonici Mathematici, Tome 84 (2004) no. 3, pp. 211-218. doi : 10.4064/ap84-3-3. http://geodesic.mathdoc.fr/articles/10.4064/ap84-3-3/

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