Abstract
Hammerstein-equations with positive and quasidefinite kernels are considered in one- and two-dimensional domains of ℝn and approximate solutions are constructed by means of spline-functions and finite elements. For these approximate solutions are given the proofs of existence, uniqueness and convergence and error estimates.
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Hertling, J. (1972). Numerical treatment of hammerstein-equations by variational methods. In: Ansorge, R., Törnig, W. (eds) Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen. Lecture Notes in Mathematics, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061622
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DOI: https://doi.org/10.1007/BFb0061622
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