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math.NA2011★ 8 cited
Existence and uniqueness of nontrivial collocation solutions of implicitly linear homogeneous Volterra integral equations
Vicente J. Bolós, Rafael Benítez
We analyze collocation methods for nonlinear homogeneous Volterra-Hammerstein integral equations with non-Lipschitz nonlinearity. We present different kinds of existence and unique…
math.NA2011★ 1 cited
Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations
Vicente J. Bolós, Rafael Benítez
In this paper, collocation methods are used for detecting blow-up solutions of nonlinear homogeneous Volterra-Hammerstein integral equations. To do this, we introduce the concept o…