A nonlinear Volterra equation with rapidly decaying solutions
نویسندگان
چکیده
منابع مشابه
Numerical 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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In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations and extension of this type of integral equations. The result is obtained by using the coupled fixed point theorems in the framework of Banach space $ X=C([a,b],mathbb{R})$. Finally, we give an example to illustrate the applications of our results.
متن کاملNote on a Nonlinear Volterra Equation
9. S. G. Krein, and O. I. Prozorovskaya, An analogue of Seidel's method for operator equations, Voronez. Gos. Univ., Trudy Sem. Functional. Anal. 5 (1957), 35-38. 10. W. V. Petryshyn, The generalized overrelaxation method for the approximate solution of operator equations in Hubert space, J. Soc. Indust. Appl. Math. 10 (1962), 675-690. 11. S. Schechter, Relaxation methods for linear equations, ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1980
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1980-0558188-x