On Solutions of a Quadratic Integral Equation of Urysohn Type
نویسندگان
چکیده
منابع مشابه
Existence of monotone solutions of a perturbed quadratic integral equation of Urysohn type
We consider a very general quadratic integral equation and we prove the existence of monotonic solutions of this equation in C[0,1]. Our analysis depends on a suitable combination of the measure of noncompactness introduced by Banaś and Olszowy and the Darabo fixed point theorem.
متن کاملConvex Solutions of a Nonlinear Integral Equation of Urysohn Type
Existence of solutions of differential and integral equations is subject of numerous investigations see, e.g., the monographs 1–3 or 4 . Moreover, a lot of work in this domain is devoted to the existence of solutions in certain special classes of functions e.g., positive functions or monotone functions . We merely mention here the result obtained by Caballero et al. 5 concerning the existence o...
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...
متن کاملOn a perturbed functional integral equation of Urysohn type
Keywords: Functional integral equation Existence Monotonic solutions Urysohn Compact in measure a b s t r a c t We study the existence of monotonic solutions for a perturbed functional integral equation of Urysohn type in the space of Lebesgue integrable functions on an unbounded interval. The technique associated with measures of noncompactness (in both the weak and the strong sense) and the D...
متن کاملOn Quadratic Integral Equations of Urysohn Type in Fréchet Spaces
0 u(t, s, x(s)) ds, t ∈ J := [0,+∞), where f : J → R, u : J × [0, T ] × R → R are given functions and A : C(J,R) → C(J,R) is an appropriate operator. Here C(J,R) denotes the space of continuous functions x : J → R. Integral equations arise naturally from many applications in describing numerous real world problems, see, for instance, books by Agarwal et al. [1], Agarwal and O’Regan [2], Cordune...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: JOURNAL OF EDUCATION AND SCIENCE
سال: 2014
ISSN: 2664-2530
DOI: 10.33899/edusj.2014.161560