Hammerstein type integral equation
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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Iterative Solutions of Nonlinear Integral Equations of Hammerstein Type
... More recently, Zegeye and Malonza [17] introduced a method which contains an auxiliary operator, defined in an Hilbert space in terms of K and F which, under certain conditions, is monotone whenever K and F are, and ...
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Nontrivial solutions of Hammerstein integral equations with reflections
... u (t) = h t, u(t), u(–t) , t ∈ [–T, T], u(–T) = u(T ). (.) The methodology, analogous to the one utilized by Torres [] in the case of ordinary dif- ferential equations, consists of two steps. First, we rewrite ...
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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 ...of Hammerstein type equations ...
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Numerical Solution of Mean Square Approximation Problem of Real Nonnegative Function by the Modulus of Double Fourier Integral
... Fourier integral dependent on two real parameters with use of the smoothing functional is ...the Hammerstein type two-dimensional nonlinear integral ...this equation are constructed and ...
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A new iteration method for solving a class of Hammerstein type integral equations system
... Also there are many studies which focus on the solution of nonlinear integral equa- tions system. These system of equations can be handled by some distinct methods such as, direct computation method, the modified ...
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Systems of Hammerstein integral inclusions in Banach spaces with mixed monotone conditions
... They assumed that f satisfies a contraction condition not necessarily for all x and y, but for those such that x ≤ y. Their result was generalized by Nieto and Rodríguez-López [, ] who weakened the continuity and the ...
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Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
... This equation is a general form of the nonlinear quadratic Hammerstein integral equation on an unbounded interval in two ...functional integral equation on the space BC(Ω) (Ω ⊆ R ...
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Algorithm for approximating solutions of Hammerstein integral equations with maximal monotone operat
... It is obvious that if an iterative algorithm can be developed for the approximation of solu- tions of equation of Hammerstein-type (1.2), this will certainly be a welcome complement to the Galerkin ...
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Existence and approximation of solution for a nonlinear second-order three-point boundary value problem
... the Hammerstein integral equations in (), (), (), and () cannot be determined easily due to the complexity of the ...of Hammerstein integral equations and many methods have been ...
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Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series
... with the iterated collocation method. Guoqiang (1993) introduced and discussed the asymptotic error expansion of a collocation-type method for Volterra-Hammerstein integral equations. The methods in ...
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Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type
... Kannan type [10] Chatterjeea [5] and Zamfirescu type [20] have been generalized in stochastic version (see for detail in Joshi and Bose [9], Saha et ...
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Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type
... In this research, we defined a new random operator called the generalized φ-weakly con- traction of the rational type. This new random operator includes those studied by Khan et al. [22] and Zhang et al. [37] as ...
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Hybrid of Rationalized Haar Functions Method for Mixed Hammerstein Integral Equations
... In the present work, the HRH functions are used to find the solution of nonlinear mixed Hammerstein integral equations. The HRH functions together Newton-Cotes nodes t p and Newton-Cotes integration formula ...
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On Improving the Semilocal Convergence of Newton-Type Iterative Method for Ill-posed Hammerstein Type Operator Equations
... A Two Step Newton-Tikhonov Methods (TSNTM) for obtaining an approximate solution for a nonlinear ill-posed Hammerstein type operator equation KF (x) = f, with the available noisy data f δ in place of ...
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Nystrom method for solving non-uniquely solvable interior Riemann-Hilbert problem on region with corners via integral equation
... the integral equation method, and the integral equation that has been derived are classified as a linear Fredholm integral equation of the second kind with continuous kernels on ...
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Convex Solutions of a Nonlinear Integral Equation of Urysohn Type
... Measures of noncompactness are frequently used in nonlinear analysis, in branches such as the theory of differential and integral equations, the operator theory, or the approximation theory. There are several ...
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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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Solution to a parabolic equation with integral type boundary condition
... A Boundary Value Problem in the Theory of Heat Conduction with a non-Classical Boundary Condition, Zh.. N., Linear and :uasilinear Equations of Parabolic Type, Vol.[r] ...
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Neumann method for solving conformable fractional Volterra integral equations
... Under investigation in the present paper was been offered the solution of an im- portant class of Volterra integral equations in the sense of the conformable fractional derivative. For this purpose, the ...
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