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A Nonlinear Singularly Perturbed Volterra Integrodifferential Equation Occurring in Polymer Rheology.

机译：一类非线性奇摄动Volterra积分微分方程在聚合物流变学中的应用。

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摘要

A study is presented on the initial value problem for the nonlinear volterra integrodifferential equation. This problem arises as a mathematical model for a process in polymer rheology which is described.

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作者
lodge, a. s. mcleod, j. b.;
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年度 1976
页码 1-77
总页数 77
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Volterra equations; Polymers; Rheology; Differential equations; Viscoelasticity; Plastics; Elastic properties; Asymptotic series; Perturbations; Boundary layer; Integral equations; Initial value problems; Mathematical models; Nonliner systems;

机译：Volterra方程;聚合物;流变学;微分方程;粘弹性;塑料;弹性性质;渐近级数;扰动;边界层;积分方程;初值问题;数学模型;非线性系统;

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专利

1. On Periodic Solutions of Singularly Perturbed Integro-differential Volterra Equations with Periodic Nonlinearities [J] . Vera B. Smirnova, Natalia V. Utina, Anton V. Proskurnikov IFAC PapersOnLine . 2016,第14期

机译：具有周期非线性的奇摄动积分-微分Volterra方程的周期解
2. Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations [J] . Danhua He, Liguang Xu Journal of inequalities and applications . 2009,第pta1期

机译：奇摄动脉冲时滞积分微分方程稳定性的积分微分不等式
3. Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations [J] . Danhua He, Liguang Xu Journal of inequalities and applications . 2009,第1期

机译：奇摄动脉冲时滞积分微分方程稳定性的积分微分不等式
4. On Periodic Solutions of Singularly Perturbed Integro-differential Volterra Equations with Periodic Nonlinearities [C] . Vera B. Smirnova, Natalia V. Utina, Anton V. Proskurnikov IFAC Workshop on Periodic Control Systems . 2016

机译：定期扰动积分差分Volterra方程与周期性非线性的周期解
5. Analysis and numerical solution of nonlinear Volterra partial integrodifferential equations modeling swelling porous materials. [D] . Wojciechowski, Keith J. 2011

机译：溶胀多孔材料的非线性Volterra偏积分微分方程的分析和数值解。
6. The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations [O] . Behzad Ghanbari -1

机译：求解非线性Volterra-Fredholm积分微分方程的同伦分析方法的收敛性研究
7. Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations [O] . 2009

机译：奇摄动脉冲时滞积分微分方程稳定性的积分微分不等式

A Nonlinear Singularly Perturbed Volterra Integrodifferential Equation Occurring in Polymer Rheology.

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