On the Solvability of One System of Nonlinear Hammerstein-Type Integral Equations on the Semiaxis
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DOI: 10.1007/s11253-017-1431-6
Abstract: We study the problems of construction of positive summable and bounded solutions for the systems of nonlinear Hammerstein-type integral equations with difference kernels on the semiaxis. These systems have direct applications to the kinetic theory… read more here.
Keywords: solvability one; type integral; integral equations; one system ... See more keywords
On attainability of optimal controls in coefficients for system of Hammerstein type with anisotropic p-Laplacian
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DOI: 10.1007/s11587-016-0300-1
Abstract: In this paper we consider an optimal control problem (OCP) for the coupled system of a nonlinear monotone Dirichlet problem with anisotropic p-Laplacian and matrix-valued $$L^\infty (\varOmega ,\mathbb {R}^{N\times N})$$L∞(Ω,RN×N)-controls in its coefficients and a… read more here.
Keywords: system; controls coefficients; anisotropic laplacian; hammerstein type ... See more keywords
Solvability of inclusions of Hammerstein type
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DOI: 10.1016/j.jmaa.2019.01.049
Abstract: Abstract We establish a universal rule for solving operator inclusions of Hammerstein type in Lebesgue–Bochner spaces with the aid of some recently proven continuation theorem of Leray–Schauder type for the class of so-called admissible multimaps.… read more here.
Keywords: inclusions hammerstein; inclusion; solvability inclusions; hammerstein type ... See more keywords
Strong and weak convergence theorems for solutions of equations of Hammerstein-type
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DOI: 10.2298/fil2302477o
Abstract: In this paper, it is our aim in this paper to introduce a new iterative algorithmfor approximation of a solution of an equation of Hammerstein-type. The proposed scheme does not involve computation of inverse of… read more here.
Keywords: weak convergence; hammerstein type; type; convergence theorems ... See more keywords
Fixed points of Hammerstein-type equations on general cones
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DOI: 10.24193/fpt-ro.2018.2.45
Abstract: We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of cones in terms of continuous… read more here.
Keywords: general cones; type equations; equations general; fixed points ... See more keywords