Results 21 to 30 of about 348 (58)
Finite element approximation of non-Fickian polymer diffusion [PDF]
, 2009 The problem of nonlinear non-Fickian polymer diffusion as modelled by a diffusion equation with an adjoined spatially local evolution equation for a viscoelastic stress is considered (see, for example, Cohen, White & Witelski, SIAM J. Appl. Math.
Bauermeister, N, Shaw, S
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Some properties of the functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 27-44, 1991., 1990 A discussion is given of some of the properties of the functional Volterra Integral equation and of the corresponding multidimensional equation. Sufficient conditions are given for the uniqueness of the solution, and an iterational process is provided for the construction of the solution, together with error estimates.
Li. G. Chambers
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A M\"untz-Collocation spectral method for weakly singular volterra integral equations [PDF]
, 2019 In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-\mu ...
Azaiez, Mejdi +3 more
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Stability of Volterra system with impulsive effect
International Journal of Stochastic Analysis, Volume 4, Issue 1, Page 83-93, 1991., 1991 Sufficient conditions for uniform stability and uniform asymptotic stability of impulsive integrodifferential equations are investigated by constructing a suitable piecewise continuous Lyapunov‐like functionals without the decresent property. A result which establishes no pulse phenomena in the given system is also discussed.
M. Ramamohana Rao, S. Sivasundaram
wiley +1 more source
Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings
Moroccan Journal of Pure and Applied Analysis, 2018 The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj +1 more source
, 2018 We present a new rheological model depending on a real parameter $\nu \in [0,1]$ that reduces to the Maxwell body for $\nu=0$ and to the Becker body for $\nu=1$.
Mainardi, Francesco +2 more
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Weighted norms and Volterra integral equations in LP spaces
International Journal of Stochastic Analysis, Volume 4, Issue 2, Page 161-164, 1991., 1990 A new simple proof of existence and uniqueness of solutions of the Volterra integral equation in Lebesque spaces is given. It is shown that the weighted norm technique and the Banach contraction mapping principle can be applied (as in the case of continuous functions space).
Jaroslaw Kwapisz
wiley +1 more source
A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
, 2017 We present a new approach based on linear integro-differential operators with logarithmic kernel related to the Hadamard fractional calculus in order to generalize, by a parameter $\nu \in (0,1]$, the logarithmic creep law known in rheology as Lomnitz ...
Garra, Roberto +2 more
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On the exponential convergence to a limit of solutions of perturbed linear Volterra equations [PDF]
, 2005 We consider a system of perturbed Volterra integro-differential equations for which the solution approaches a nontrivial limit and the difference between the solution and its limit is integrable.
Appleby, J.A.D. +2 more
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An existence theorem for a Volterra integral equation with deviating arguments
International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 155-162, 1990., 1990 An existence theorem is proved for a nonlinear Volterra integral equation with deviating arguments.
K. Balachandran, S. Ilamaran
wiley +1 more source