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Journal of Mathematical Extension, 2013 Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
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International Journal of Differential Equations, 2018 An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan +2 more
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Identification of Input Signals in Integral Models of One Class of Nonlinear Dynamic Systems
Известия Иркутского государственного университета: Серия "Математика", 2019 The problem of restoring input signals is one of the intense developing research areas and is the intersection of the mathematical modeling theory, the automatic control theory and the inverse problems theory.
S. V. Solodusha
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Existence and stability of a class of nonlinear Volterra integral equations [PDF]
Transactions of the American Mathematical Society, 1970 In this paper we study the problem of existence and uniqueness to solutions of the nonlinear Volterra integral equation x = f
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Abstract and Applied Analysis, 2014 The paper is devoted mainly to the study of the existence of solutions depending on two variables of a nonlinear integral equation of Volterra-Stieltjes type.
Mohamed Abdalla Darwish, Józef Banaś
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Oscillation Theorems of Nonlinear Volterra-Stieltjes Integral Equations
Journal of Mathematical Analysis and Applications, 1995 The oscillatory behavior of solutions to the nonlinear Volterra-Stieltjes integral equation \[ p(t) \psi (y) y'_+ (t)= c+ \int^t_0 f(y (s)) d\sigma (s) \] is considered. \(y'_+ (t)\) denotes the right derivative of \(y(t)\), \(p(t)> 0\) and \(\sigma (t)\) are right-continuous and of locally bounded variation on \([0, \infty)\), \(\psi: (- \infty ...
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Perturbed conformal field theory, nonlinear integral equations and spectral problems [PDF]
, 2000 This thesis is concerned with various aspects of perturbed conformal field theory and the methods used to calculate finite-size effects of integrable quantum field theories.
Dunning, Tania Clare +2 more
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Some properties of nonlinear Volterra-Stieltjes integral operators [PDF]
, 2005 We study some properties of the nonlinear Volterra-Stieltjes integral operator of general form which is defined with help of the Stieltjes integral with the kernel depending on two variables.
Mena, J. Caballero +3 more
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On some Nonlinear Integral Inequalities for Volterra Integral Equations
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 Abstract In this paper, we have stated and proved some results on nonlinear integral inequalities and its applications which provide an explicit bound on unknown function and can be used as a tool in the study of certain nonlinear retarded Volterra integral equations.
S.D. Kendre, S.G. Latpate
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Relaxation oscillations, pulses, and travelling waves in the diffusive Volterra delay-differential equation [PDF]
, 1984 The diffusive Volterra equation with discrete or continuous delay is studied in the limit of long delays using matched asymptotic expansions. In the case of continuous delay, the procedure was explicitly carried out for general normalized kernels of the ...
López Bonilla, Luis +1 more
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