Solutions of some functional-integral equations in Banach algebra
نویسندگان
چکیده
منابع مشابه
On Existence of Extremal Solutions of Nonlinear Functional Integral Equations in Banach Algebras
An algebraic fixed point theorem involving the three operators in a Banach algebra is proved using the properties of cones and they are further applied to a certain nonlinear integral equations of mixed type x(t) = k(t,x(μ(t))) + [ f (t,x(θ(t)))](q(t) + ∫ σ(t) 0 v(t, s)g(s,x(η(s)))ds) for proving the existence of maximal and minimal solutions. Our results include the earlier fixed point theorem...
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Integral equations arise naturally in applications of real world problems [5, 6, 7, 8]. The theory of integral equations has been well developed with the help of various tools from functional analysis, topology and fixed-point theory. The classical theory of integral equations can be generalized if one uses the Stieltjes integral with kernels dependent on one or two variables. The aim of this p...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2003
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(03)90084-7