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

Zuodong Yang (2004)

Annales Polonici Mathematici

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.

Existence results for a fractional equation with state-dependent delay.

dos Santos, José Paulo Carvalho, Cuevas, Claudio, de Andrade, Bruno (2011)

Advances in Difference Equations [electronic only]

Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions.

Ahmad, Bashir, Nieto, Juan J. (2009)

Boundary Value Problems [electronic only]

Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces

Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)

Applications of Mathematics

A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.