Results 61 to 70 of about 3,130,595 (306)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we propose angular stabilization of drone's motion using distributed feedback control in the form of an integral operator. It should be stressed that the memory of this integral operator could be unbounded. It is intuitively clear that large length of the observation time opens new possibilities to construct better control based
Alexander Domoshnitsky +2 more
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Functional representation of the Volterra hierarchy
, 2004 In this paper I study the functional representation of the Volterra hierarchy (VH). Using the Miwa's shifts I rewrite the infinite set of Volterra equations as one functional equation.
Faddeev L. D. +7 more
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Stability criteria for Volterra equations [PDF]
Transactions of the American Mathematical Society, 1983 We consider a system of integro-differential equations of the form (1. 1) x' = A(t)x + f'C(t. s)x(s) ds with A and C being ni X ni matrices. Various types of stability are defined and results are obtained showing when one type of stability is equivalent to another type.
Theodore Burton, W. E. Mahfoud
openaire +3 more sources
Reconstruction Techniques for Inverse Sturm–Liouville Problems With Complex Coefficients
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A variety of inverse Sturm–Liouville problems is considered, including the two‐spectrum inverse problem, the problem of recovering the potential from the Weyl function, as well as the recovery from the spectral function. In all cases, the potential in the Sturm–Liouville equation is assumed to be complex valued.
Vladislav V. Kravchenko
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Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2016 We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
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Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]
, 2014 Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng +2 more
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Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
, 2018 For the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for functions c_j(t), j=0,1,..., such that an expression in terms of Hankel ...
Chen, Xiao-Min +2 more
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ON A SINGULAR VOLTERRA EQUATION
Demonstratio Mathematica, 1993 The equation \[ f(p) = 2 \int^ \infty_ p {F(r) \over \bigl( 1 - (p/r)^ 2 \bigr)^{1/2}} dr, \quad r \in (0, \infty) \] where \(f \in C^ 1 [0,\infty)\) is a given function such that \(\lim_{p \to \infty}\) \(pf(p)\) does exist, is important in the investigation of electromagnetic cascades.
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An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper considers an inverse heat source localization problem with applications to indoor person localization from temperature measurements. In particular, this inverse problem consists in the reconstruction of the intensity and position of heat sources from observed temperature data.
Simonetta Boria +5 more
wiley +1 more source
مجلة بغداد للعلوم, 2012 This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro ...
Baghdad Science Journal
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