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Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method
Demonstratio Mathematica, 2021 The purpose of the paper is to find an approximate solution of the two-dimensional nonlinear fuzzy Volterra integral equation, as homotopy analysis method (HAM) is applied.
Georgieva Atanaska
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Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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Admissibility and nonlinear Volterra integral equations [PDF]
Proceedings of the American Mathematical Society, 1970 Nonlinear perturbations of linear Volterra integral equations are studied in an abstract setting which contains and generalizes some earlier results on the same problem. The perturbed problem is first written as a variation of constants equation on a Fréchet space.
Richard K. Miller
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
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On the oscillation of a Volterra integral equation [PDF]
Czechoslovak Mathematical Journal, 1995 The author studies oscillation criteria for the integral equation \[ X(t)= f(t)- \int^t_0 a(t, s) g(s, X(s)) ds,\quad t\geq 0.\tag{\(*\)} \] Sufficient conditions for all solutions of equation \((*)\) to oscillate as well as growth estimates for the solutions are given.
Bhagat Singh
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A Kneser theorem for Volterra integral equations [PDF]
Proceedings of the American Mathematical Society, 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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A Volterra integral equation of the first kind
Journal of Mathematical Analysis and Applications, 1976 In animal studies of the effect of the deposition of radioactive debris in the lung, use is made of very small spheres (about 10 ..mu..m diameter) of ZrO/sub 2/ impregnated with plutonium, an ..cap alpha..-particle emitter. A quality control problem that arises in the manufacture of these spheres is that of determining the radial density distribution ...
W. L. Hendry
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Oscillations of Volterra integral equations with delay [PDF]
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.
George L. Karakostas +2 more
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On the inversion of the Volterra integral equation [PDF]
Quarterly of Applied Mathematics, 1952 B. Groß
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A solution of a nonlinear Volterra integral equation with delay via a faster iteration method
AIMS Mathematics, 2023 The purpose of this article is to study the convergence, stability and data dependence results of an iterative method for contractive-like mappings. The concept of stability considered in this study is known as $ w^2 $-stability, which is larger than the
G. A. Okeke +4 more
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