On solutions of a quadratic integral equation of Hammerstein type
نویسندگان
چکیده
منابع مشابه
On 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...
متن کاملNonlinear 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 ...
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In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the effic...
متن کاملSolvability of Nonlinear Hammerstein Quadratic Integral Equations
We are concerning with a nonlinear Hammerstein quadratic integral equation. We prove the existence of at least one positive solution x ∈ L1 under Carathèodory condition. Secondly we will make a link between Peano condition and Carathèodory condition to prove the existence of at least one positive continuous solution. Finally the existence of the maximal and minimal solutions will be proved.
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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
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2006
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2005.04.017