The Asymptotic Behavior of Solutions of Systems of Volterra Integral Equations [PDF]
, 1948 Alfred Horn
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Existence and stability of a class of nonlinear Volterra integral equations [PDF]
, 1970 Stanley I. Grossman
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Some problems in nonlinear Volterra integral equations [PDF]
, 1962 John A. Nohel
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On the linearization of Volterra integral equations [PDF]
Mathematical description of Volterra integral ...
Miller, R. K.
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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 generalization of monodiffric Volterra integral equations [PDF]
Hokkaido Mathematical Journal, 1985 The present paper deals with the study of generalized monodiffric Volterra integral equations of the form \[ (1)\quad u(z)=f(z)+\lambda \int^{z}_{0}k(z-t):u(t)dt. \] In Section 2, the author defines the convolution product of p-monodiffric functions and in section 3, he proves some properties of p-monodiffric functions.
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
Journal of Applied Mathematics, 2014 We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
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Canonical forms of certain Volterra integral operators and a method of solving the commutator equations which involve them [PDF]
, 1967 Stanley Osher
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An algebraic study of Volterra integral equations and their operator linearity [PDF]
Journal of Algebra, 2020 Li Guo, Richard Gustavson, Yunnan Li
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The approximate solution of Volterra integral equations
Journal of Approximation Theory, 1975 AbstractHuffstutler and Stein and recently Bacopoulos and Kartsatos have dealt with the problem of best approximation by polynomials of the solutions of nonlinear differential equations. The purpose of the present paper is to generalize their results and to show that they can be established under a weaker set of conditions.
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