Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions [PDF]
, 2006 The Volterra series approach has been widely used for the analysis of nonlinear systems. Based on the Volterra series, a novel concept named Nonlinear Output Frequency Response Functions (NOFRFs) was proposed by the authors.
Billings, S.A., Lang, Z.Q., Peng, Z.K.
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New results on the generalized frequency response functions of nonlinear volterra systems described by NARX model [PDF]
, 2008 In order that the nth-order Generalized Frequency Response Function (GFRF) for nonlinear systems described by a NARX model can be directly written into a more straightforward and meaningful form in terms of the first order GFRF and model parameters, the ...
Billings, S.A., Jing, X.J., Lang, Z.Q.
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Attracting Solutions of Nonlinear Volterra Integral Equations
Journal of Integral Equations and Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Mariano R., Castillo, Jesús M.F.
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Applications of Normal S-Iterative Method to a Nonlinear Integral Equation
The Scientific World Journal, 2014 It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]
Opuscula Mathematica, 2015 The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
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A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
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Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
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An optimal control problem of forward-backward stochastic Volterra integral equations with state constraints [PDF]
, 2013 This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints.
Wei, Qingmeng, Xiao, Xinling
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