Results 71 to 80 of about 1,611 (185)
An innovative iterative approach to solving Volterra integral equations of second kind
Acta PolytechnicaMany scientists have shown great interest in exploring the realm of second-kind integral equations, offering many techniques for solving them, including exact, approximate, and numerical methods.
Mohammed Abdulshareef Hussein +2 more
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Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets
Advances in Difference Equations, 2019 In this paper, an efficient numerical method is presented for solving nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets.
Jieheng Wu, Guo Jiang, Xiaoyan Sang
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MathematicsIn this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
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The Scientific World Journal, 2014 A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
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Oscillations of Volterra integral equations with delay
Tohoku Mathematical Journal, 1993 Consider the Volterra integral equation with delays \(x(t)=f(t)-\int_ 0^ t K(t,s,x_ s)ds\), \(t\geq 0\), where \(f\in C(\mathbb{R}^ +,\mathbb{R})\), \(K(t,s,\varphi)\) is continuous in \(t\) and \(\varphi\), and maps bounded sets into bounded sets.
Karakostas, George +2 more
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Embedding Stieltjes-Volterra integral equations in Stieltjes integral equations [PDF]
Transactions of the American Mathematical Society, 1977 J. A. Reneke has shown that the linear Stieltjes-Volterra integral equations studied by D. B. Hinton can be transformed into Stieltjes integral equations of the type studied by J. S. Mac Nerney. By taking advantage of the nonlinear nature of Mac Nerney’s results, Reneke was able to extend Hinton’s existence theorem to a nonlinear setting. In this paper,
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A Product Integral Solution of a Stieltjes-Volterra Integral Equation [PDF]
Proceedings of the American Mathematical Society, 1970 This paper demonstrates that the theory of Stieltjes-Volterra integral equations may be subsumed in Mac Nerney’s general integral equation theory by making suitable choices of linear spaces and sets of operators.
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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]
Computational Algorithms and Numerical DimensionsThis study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented.
Youssef Esmaiel +2 more
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A Singular Nonlinear Volterra Integral Equation
Journal of Integral Equations and Applications, 1993 Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
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On Some Classes of Linear Volterra Integral Equations
Abstract and Applied Analysis, 2014 The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
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