Results 81 to 90 of about 2,407,671 (212)
Ulam stability of Volterra integral equation on a generalized metric space
, 2020 The aim of this paper is to give some Ulam-Hyers stability results for Volterra integral equations on a generalized metric space. In this case we consider the Volterra integral equation in the Krasnoselski-Krein and Naguno-Perron-Van Kampen conditions ...
LUNGU, Nicolaie, CIPLEA, Sorina Anamaria
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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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Asymptotic analysis of a volterra integral equation
Applied Mathematics Letters, 1988 A Volterra integral equation of the form \(u(t)=\epsilon \int^{t}_{0}[\pi (t-s)]^{-1/2}F(u(s),s)ds\) is considered where \(F(0,t)\sim c_ 0t^{-r_ 0}\) and \(F_ u(0,t)\sim -c_ 1t^{-r_ 1}\) as \(t\to +\infty\) and \(r_ ...
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On the linearization of Volterra integral equations [PDF]
, 1967 Mathematical description of Volterra integral ...
Miller, R. K.
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Fredholm-Volterra Integral Equation in the Contact Problem
, 2002 In this paper, under certain condition the Fredholm-Volterra integral equation of the first kind is solved. The existence. and uniqueness of the solution is considered.
A. El-Bary
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Block-by-Block Method for Solving Nonlinear Volterra-Fredholm Integral Equation [PDF]
, 2010 We consider a nonlinear Volterra-Fredholm integral equation (NVFIE) of the second kind. The Volterra kernel is time dependent, and the Fredholm kernel is position dependent.
Abdallah A. Badr
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Solvability of Nonlinear Integral Equations of Volterra Type
Abstract and Applied Analysis, 2012 This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral
Zeqing Liu, Sunhong Lee, Shin Min Kang
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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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On solutions of a Volterra integral equation with deviating arguments [PDF]
, 2009 In this article, we establish the existence and asymptotic characterization of solutions to a nonlinear Volterra integral equation with deviating arguments.
Balachandran, Krishnan, Julie, M. Diana
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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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