Session S05 - Advances on Spaces of Non-absolutely Integrable Functions and Related Applications

Monday, July 12, 17:15 ~ 17:45 UTC-3

On Existence and Approximation of Solutions of Hammerstein Integral Equations

Maaruf Minjibir

Bayero University, Nigeria   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Integral equations of Hammerstein type are intimately connected to Semilinear Elliptic Boundary Value Problems. In addition to the fact that such problems can be reduced to Hammerstein equations, the operator theoretic form of Hammerstein Equation is of interest in the theory of optimal control systems and in automation and network theory. Our talk concerns this form of Hammerstein equation. In particular, we shall discuss a little on the ex- istence of solutions, and dwell more on approximating such solutions since having a closed-form solutions is next to impossible due to the nonlinear- ity of the equation. We shall also touch on the multi-valued version of the Hammerstein equation, which, itself, nds applications, e.g., in the theory of thermostats.

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