منابع مشابه
Nonlinear Stochastic Integral-Equation of Hammerstein Type
A nonlinear stochastic integral equation of the Hammerstein type in the form x(t; c) = h(t; co) + f k(t, s; co)f (s, x(s; co)) dy (s) is studied where t E S, a v-finite measure space with certain properties, co E Q, the supporting set of a probability measure space (Q, A, P), and the integral is a Bochner integral. A random solution of the equation is defined to be a second order vector-valued ...
متن کاملOn solutions of a quadratic integral equation of Hammerstein type
We study the solvability of a nonlinear quadratic integral equation of Hammerstein type. Using the technique of measures of noncompactness we prove that this equation has solutions on an unbounded interval. Moreover, we also obtain an asymptotic characterization of these solutions. Several special cases of this integral equation are discussed and applications to real world problems are indicate...
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In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation
متن کاملHybrid of Rationalized Haar Functions Method for Mixed Hammerstein Integral Equations
A numerical method for solving nonlinear mixed Hammerstein integral equations is presented in this paper. The method is based upon hybrid of rationalized Haar functions approximations. The properties of hybrid functions which are the combinations of block-pulse functions and rationalized Haar functions are first presented. The Newton-Cotes nodes and Newton-Cotes integration method are then util...
متن کاملPositive Solutions of a Hammerstein Integral Equation with a Singular Nonlinear Term
In this paper the existence of a positive measurable solution of the Hammerstein equation of the first kind with a singular nonlinear term at the origin is presented. 0. Introduction The literature on the Hammerstein equations with the reciprocal of the solution in the integrand is rather limited, although there are many applications. For example, the equation
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ژورنال
عنوان ژورنال: The São Paulo Journal of Mathematical Sciences
سال: 2008
ISSN: 2316-9028,1982-6907
DOI: 10.11606/issn.2316-9028.v2i2p145-160