On fuzzy Volterra integral equations with deviating arguments
نویسندگان
چکیده
منابع مشابه
On Fuzzy Volterra Integral Equations with Deviating Arguments
In 1982, Dubois and Prade [4, 5] first introduced the concept of integration of fuzzy functions. Kaleva [7] studied the measurability and integrability for the fuzzy set-valued mappings of a real variable whose values are normal, convex, upper semicontinuous, and compactly supported by fuzzy sets in Rn. Existence of solutions of fuzzy integral equations has been studied by several authors [1, 2...
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In this paper we give a complete analysis of the global convergence and local superconvergence properties of piecewise polynomial collocation for Volterra integral equations with constant delay. This analysis includes continuous collocation-based Volterra-Runge-Kutta methods as well as iterated collocation methods and their discretizations.
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where f ∈ C(J ×R×R,R) and α∈ C(J , J) (e.g., αmay be defined by α(t)=√t, T ≥ 1 or α(t)= 0.7t, t ∈ J). Moreover, r and γ are fixed real numbers. Differential equations with deviated arguments arise in a variety of areas of biological, physical, and engineering applications, see, for example, [9, Chapter 2]. The monotone iterative method is useful to obtain approximate solutions of nonlinear diff...
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It is well known that time delays exist widely in biology, neural network, automatic control engineering and so on. Since the existence of delays is frequently a source of instability, bifurcation and chaos, it is important to study the dynamical behaviors of the differential equations with delays. Recently, the periodic problem of Rayleigh equations with a deviating argument x′′ + f(x′(t)) + g...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2004
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953304308014