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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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On a nonlinear Volterra integral-functional equation
Funkcialaj Ekvacioj, 1983openaire +2 more sources
Legendre Wavelets Method for the Nonlinear Volterra–Fredholm Integral Equations
Mathematics and Computers in Simulation, 2005Mohsen Razzaghi
exaly
Triangular Functions (TF) Method for the Solution of Nonlinear Volterra–Fredholm Integral Equations
Communications in Nonlinear Science and Numerical Simulation, 2010Khosrow Maleknejad
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He’s Variational Iteration Method for Solving Nonlinear Mixed Volterra–Fredholm Integral Equations
Computers and Mathematics With Applications, 2009Mehdi Dehghan, S A Yousefi, A Lotfi
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