Volterra integral equations and a new Gronwall inequality (Part I: The linear case)

DOI10.1017/S0308210500018473zbMath0639.65075OpenAlexW2073520104MaRDI QIDQ3780401

John Norbury, Andrew M. Stuart

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500018473

zbMATH Keywords

rate of convergenceconsistency errorvariable meshweakly singular Volterra integral equationsproduct integration methodlinear integral inequality of Gronwall type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• The stability of solutions of linear differential equations
• Generalised Discrete Gronwall Lemmas
• Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
• Repeated Integral Inequalities
• Weakly Singular Discrete Gronwall Inequalities
• Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)
• Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels

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