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On a Nonlinear Volterra-Fredholm Integral Equation
Sarajevo Journal of MathematicsIn this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results. 2000 Mathematics Subject Classification.
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Nonlinear Volterra integral equations and the Schröder functional equation
Nonlinear Analysis: Theory, Methods & Applications, 2011The author shows an interesting connection between a special class of Volterra integral equations with convolution kernels \[ u(t)=\int\limits_{0}^{t}k(t-s)g(u(s)ds, \quad g(0)=0, \quad t\geq 0, \] and the famous Schröder equation \[ F(h(x))=cF(x),\quad x\in I.
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System of nonlinear Volterra’s integral equations with polar kernel and singularities
Nonlinear Analysis: Theory, Methods & Applications, 2007Using one special Colombeau algebra and the method of regularization of fractional derivatives with a delta sequence, the author proves the existence and the uniqueness of the solution of a system of nonlinear Volterra integral equations with polar kernel.
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A spectral collocation method for a nonlinear multidimensional Volterra integral equation
Numerical Methods for Partial Differential Equations, 2023Yanping Chen
exaly
Symmetric Spectral Collocation Method for a Kind of Nonlinear Volterra Integral Equation
Symmetry, 2022exaly