Collocation methods for Volterra integral and related functional equations

By Ivan P. Gavrilyuk. Mathematics of Computation, 2006

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Well-posedness and numerical algorithm for the tempered fractional differential equations (2019, result): “The proof of this theorem is similar to the references [35, 16, 7, 23, 46].”
Bernstein series solutions of pantograph equations using polynomial interpolation (2012, unknown): “More precisely, if a; b [ CmðIÞ then, for any q [ ð0; 1Þ and any y0, the solution y lies in Cmþ1ðIÞ [3].”
Cordial Volterra Integral Equations 2 (2010, unknown): “H. Brunner (2004).”
Chebyshev polynomials for solving two dimensional linear and nonlinear integral equations of the second kind (2012, methodology): “The interested reader can see more detail of collocation method in [3, 4, 11].”
Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations (2014, background): “While the qualitative theory of DAE is widely available (see [3], [19], [20]), there exist fewer results for IAE and DIDE (see, [4], [6], [7], [8], [17] and references therein).”