کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1138194 1489205 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of solutions of Volterra integrodifferential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Stability of solutions of Volterra integrodifferential equations
چکیده انگلیسی

Systems with past memory (or after-effect), the state of which is given by nonlinear Volterra- type integrodifferential equations with small perturbations, are investigated. The equations depend on functionals in integral form and, in particular, on analytic functionals represented by Fréchet series. The integral kernels can allow for singularities with Abel’s kernel. The stability under persistent disturbances, and the structure of the general solution, are investigated in the neighborhood of zero for an equation with holomorphic nonlinearity assuming asymptotic stability of the trivial solution of the linearized unperturbed equation. Stability in the critical cases (in Lyapunov’s sense) of a single zero root and of pairs of pure imaginary roots for the unperturbed equation is analyzed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 45, Issues 11–12, June 2007, Pages 1376–1394
نویسندگان
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