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Collocation Methods for A Class of Volterra Integral Functional Equations with Multiple Proportional Delays

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摘要 In this paper,we apply the collocation methods to a class of Volterra integral functional equations with multiple proportional delays(VIFEMPDs).We shall present the existence,uniqueness and regularity properties of analytic solutions for this type of equations,and then analyze the convergence orders of the collocation solutions and give corresponding error estimates.The numerical results verify our theoretical analysis.
作者 Kai Zhang Jie Li
出处 《Advances in Applied Mathematics and Mechanics》 SCIE 2012年第5期575-602,共28页 应用数学与力学进展(英文)
基金 The first author is partially supported by forefront of science and interdisciplinary innovation projects of Jilin University and NNSF(No.11071102 of China).
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