The existence of solutions to a Volterra integral equation
نویسندگان
چکیده
منابع مشابه
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
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where f, g : I × → are given functions, λ ∈ (0, 1]. The study of quadratic integral equation has received much attention over the last thirty years or so. For instance, Cahlon and Eskin [1] prove the existence of positive solutions in the space C[0, 1] and Cα[0, 1] of an integral equation of the Chandrasekhar H-equation with perturbation. Argyros [2] investigates a class of quadratic equations ...
متن کاملNumerical Solutions of a Class of Nonlinear Volterra Integral Equation
We consider numerical solutions of a class of nonlinear (nonstandard) Volterra integral equations. We first prove the existence and uniqueness of the solution of the Volterra integral equation in the context of the space of continuous funtions over a closed interval. We then use one point collocation methods and quadrature methods with a uniform mesh to construct solutions of the nonlinear VIE....
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1996
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-64-2-175-182