A nonlinear Volterra equation not of convolution type
نویسندگان
چکیده
منابع مشابه
Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method
In this paper, a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{beta}(t-s)^{-alpha}G(y(s))$ based on the Tau method. In this method, a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution. Error analysis of this method is also ...
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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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A nonlinear integro-differential equation of convolution type with order of nonlinearity more than one and a stable trivial solution is considered. The integral in this equation has an exponential kernel and polynomial integrand. The difference analogue of the equation considered is constructed in the form of a difference equation with continuous time and it is shown that this difference analog...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1968
ISSN: 0022-0396
DOI: 10.1016/0022-0396(68)90034-x