Hammerstein integral equations
Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series
... Recently, Single-term Haar wavelet series (STHW) is introduced to overcome the difficulties in solving some singular system problems. Preliminary experiments have shown that this method is usually more efficient than the ...
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Hybrid of Rationalized Haar Functions Method for Mixed Hammerstein Integral Equations
... mixed Hammerstein integral equations is presented in this ...mixed Hammerstein integral equations to the solutions algebraic ...
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A positive fixed point theorem with applications to systems of Hammerstein integral equations
... We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the ...
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Numerical solution of nonlinear Hammerstein integral equations by using Legendre-Bernstein basis
... Abstract. In this study a numerical method is developed to solve the Hammerstein integral equations. To this end, the kernel has been approximated using the least-squares approximation schemes based ...
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Admonian's method for Hammerstein integral equations arising from chemical reactor theory
... This Hammerstein integral equation cannot be solved exactly. The purpose of this paper is to consider the application of Adomian’s decomposition method which has been shown to be particularly well suited ...
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Nontrivial solutions of Hammerstein integral equations with reflections
... where the kernel k is allowed to be not of constant sign. In order to do this, we extend the results of [, ], valid for Hammerstein integral equations without reflections, to the new context. We ...
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Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems
... which converges strongly to a J-fixed point of T . As an immediate application of this re- sult, an analog of Theorem . for bounded maximal monotone maps is obtained, which is also a complement of the proximal point ...
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On coupled systems of Hammerstein integral equations
... regards Hammerstein integral ...the Hammerstein equation of the first kind with a singular nonlinear term at the origin; in [8], the authors contribute, by monotone iterative methods, combined with ...
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Algorithm for approximating solutions of Hammerstein integral equations with maximal monotone operat
... Theorem 1.1 — (Br´ezis and Browder [6]). Let H be a separable Hilbert space and C be a closed subspace of H. Let K : H → C be a bounded continuous monotone operator and F : C → H be angle-bounded and weakly compact ...
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Hammerstein integral equations with indefinite kernel
... On nonlinear integral equations of the Hammerstein type, in Nonlinear Integral .Equation, pp.99-154, Univ.. and Meyers, D..[r] ...
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Taylor-Series Expansion Methods for Multivariate Hammerstein Integral Equations
... for integral equations, a large volume of research has been accomplished in the last two decades which apply a class of wavelets to numerical solution of integral equations (see [5], [6], [7], ...
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Existence and approximation of solution for a nonlinear second-order three-point boundary value problem
... into Hammerstein integral ...obtained Hammerstein integral equations is analyzed by using the Schauder fixed point ...of Hammerstein integral equations is ...
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A Note on Implicit Functions in Locally Convex Spaces
... of Hammerstein integral equations in Banach spaces, it turned out that the hypothesis of existence and continuity of the derivative of the operators related to the studied equation is too ...
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Numerical solution of Hammerstein integral equation using Chebyshev wavelet method
... solve Hammerstein integral equations of both Fredholm as well as Volterra type by Chebyshev wavelet method which is widely applicable in engineering and ...algebraic equations. Illustrative ...
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Viscosity iterative algorithm for the zero point of monotone mappings in Banach spaces
... Let E be a nonempty closed uniformly convex and 2-uniformly smooth Banach space with dual E ∗ . We construct some implicit and explicit algorithms for solving the equation 0 ∈ AJu in the Banach space E, where A : E ∗ → E ...
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Application of modified hat functions for solving nonlinear quadratic integral equations
... A numerical method to solve nonlinear quadratic integral equations (QIE) is presented in this work. The method is based upon modification of hat func- tions (MHFs) and their operational matrices. By using ...
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A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
... In this paper, we investigated on functional Hammerstein integro-differential equa- tions of fractional order. Here we also presented an approximate method to solve these equations. We proved convergence ...
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Dual integral equations—revisited
... 2. Genesis of the dual integral equations. The two-dimensional problem of the scattering of surface waves by a vertical barrier present in deep water under the assumption of linearised theory consists in ...
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Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations
... 1 < α of 1.1 is discussed in 9. It turns out to be useful to study Bihari type inequalities with abstract Lebesgue integral. It is motivated proceeding in this direction as follows. We can get new facts about ...
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Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type
... Spaˇ cek’s and Hanˇ s’s theorems to multivalued contraction mappings. Random fixed point theorems with an application to Random differential equations in Banach spaces are obtained by Itoh [8]. Sehgal and Waters ...
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