Results 101 to 110 of about 2,308,426 (220)

Expansion of the boundaries of the solutions of the linear Volterra integral equations with convolution kernel

, 2002
Some boundaries about the solution of the second type linear Volterra integral equations with unit source term and with positive monotonically increasing convolution kernel were given by R. Ling [2], [3]. In this work, a method which ensures axpansion of
Temizer, ÖF, Özdemir, I
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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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Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]

Computational Algorithms and Numerical Dimensions
This 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, Magdi El-Azab, Galal El-Baghdady   +2 more
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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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A Kneser theorem for Volterra integral equations

, 1973
A connectedness result is obtained for the space of solutions of any one of a class of Volterra integral equations.
Walter G. Kelley
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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
doaj   +1 more source

An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations. [PDF]

Entropy (Basel), 2020
Mohammad M, Trounev A, Cattani C.
europepmc   +1 more source

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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Asymptotic solutions of forced nonlinear second order differential equations and their extensions

Electronic Journal of Differential Equations, 2007
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Angelo B. Mingarelli, Kishin Sadarangani
doaj  

Solvability of Volterra integral equations of third kind by modified Bernstein operators

Journal of Inequalities and Applications
In this paper, we apply modified Bernstein operators B m ∗ ( f ) $B^{*}_{m}(f)$ to obtain the solution of Volterra integral equations of third type.
Petro Bwire, Santosh Kumar, Mohammad Mursaleen   +2 more
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