Nontrivial solutions to nonlinear Volterra integral equations
SIAM Journal on Mathematical Analysis
Implicitly linear collocation methods for nonlinear Volterra equations
Selected papers from the international conference on Numerical solution of Volterra and delay equations
Fast solvers of integral equations of the second kind: wavelet methods
Journal of Complexity
Runge–Kutta convolution quadrature methods for well-posed equations with memory
Numerische Mathematik
Journal of Computational and Applied Mathematics
Nonconvolution nonlinear integral volterra equations with monotone operators
Computers & Mathematics with Applications
Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
Journal of Computational and Applied Mathematics
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We analyse collocation methods for nonlinear homogeneous Volterra-Hammerstein integral equations with non-Lipschitz nonlinearity. We present different kinds of existence and uniqueness of nontrivial collocation solutions and give conditions for such existence and uniqueness in some cases. Finally, we illustrate these methods with an example of a collocation problem and give some examples of collocation problems that do not fit in the cases studied previously.