[PDF] Top 20 Iterative Solutions of Nonlinear Integral Equations of Hammerstein Type
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Iterative Solutions of Nonlinear Integral Equations of Hammerstein Type
... It is our purpose in this paper to construct a new explicit iterative sequence and prove strong convergence of the sequence to a solution of the generalized Hammer- stein type equation (1.9). Our theorems ... See full document
13
A new iteration method for solving a class of Hammerstein type integral equations system
... These disadvantages motivated us to present a new approach, namely Rich-type method, for obtaining the approximate solution of the system of nonlinear integral equations (1.1). The structure ... See full document
16
Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
... quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein ... See full document
15
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] ... See full document
15
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], ... See full document
5
Algorithm for approximating solutions of Hammerstein integral equations with maximal monotone operat
... an iterative sequence and obtained strong convergence theorems in the Cartesian product space E, for solutions of Hammerstein equations under various continuity conditions on F and K, for ... See full document
20
On coupled systems of Hammerstein integral equations
... of integral equations of Hammerstein type with nonlinearities depending on several derivatives of both variables and we underline that both equations and both variables can have a ... See full document
14
Existence and approximate solutions of nonlinear integral equations
... t,s, x(s) ds, −∞ ≤ a ≤ t ≤ b ≤ + ∞ . (1.2) We should mention that an extensive work has been done in the study of the solutions of various types of (1.2), see, for example, [1, 2, 5, 7, 11, 13, 15, 16, 17, 19]. ... See full document
13
Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type
... random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point ... See full document
16
Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... differential equations have attracted more and more attention in recent decades, which is partly due to their numerous applications in many branches of science and engineering including fluid flow, rheology, diffusive ... See full document
13
A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
... on iterative approaches play an important role to accelerate con- vergence rate in solving any system of equations generated by discretizing mathematical models in science and engineering problems ...an ... See full document
10
Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems
... approximating solutions of equation (.) when A is an accretive-type operator have become a flourishing area of research for nu- merous ...of solutions of the equation when A is of the ... See full document
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Application of random fixed point theorems in solving nonlinear stochastic integral equation of the Hammerstein type
... differential equations in Banach spaces are obtained by Itoh ...Kannan type [10] Chatterjeea [5] and Zamfirescu type [20] have been generalized in stochastic version (see for detail in Joshi and Bose ... See full document
6
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 ... See full document
13
On Improving the Semilocal Convergence of Newton-Type Iterative Method for Ill-posed Hammerstein Type Operator Equations
... [19] O. Scherzer, H.W. Engl and K. Kunisch, Optimal a posteriori param- eter choice for Tikhonov regularization for solving nonlinear ill-posed problems, SIAM. J. Numer. Anal., Vol.30, 6, 1993, pp. 1796-1838. [20] ... See full document
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2. Common xed point results using $(\varphi_1-\varphi_2-\varphi_3)$-contractive conditions in orbitally $0$-complete partial metric spaces
... rational type weakly contraction condition for two ...Volterra-type integral equations and existence of solutions for a nonlinear fractional differential ... See full document
13
A positive fixed point theorem with applications to systems of Hammerstein integral equations
... nonnegative solutions for systems of Hammerstein integral equations has been widely studied; see for example [–] and references ...of Hammerstein integral equations of ... See full document
10
Hybrid of Rationalized Haar Functions Method for Mixed Hammerstein Integral Equations
... solving nonlinear mixed Hammerstein integral ...of Hammerstein integral equations are ...Fredholm-Hammerstein integral equations, the classical method of ... See full document
5
Nontrivial solutions of Hammerstein integral equations with reflections
... This approach that follows the one of Lan [] and that has been exploited in [–] in the context of problems without reflections, is useful to prove the existence of multi- ple positive solutions in presence of ... See full document
22
Numerical Solution of Mean Square Approximation Problem of Real Nonnegative Function by the Modulus of Double Fourier Integral
... A nonlinear problem of mean-square approximation of a real nonnegative continuous function with respect to two variables by the modulus of double Fourier integral dependent on two real parameters with use ... See full document
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