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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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Oscillations of Volterra integral equations with delay [PDF]
Tohoku Mathematical Journal, 1993 The oscillatory behavior of the solutions of a Volterra type equation with delay is investigated. Sufficient conditions on the kernel are given which guarantee that the oscillatory character of the forcing term is inherited by the solutions.
Karakostas, George +2 more
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On a Volterra Stieltjes integral equation [PDF]
International Journal of Stochastic Analysis, 1990 The paper deals with a study of linear Volterra integral equations involving Lebesgue‐Stieltjes integrals in two independent variables. The authors prove an existence theorem using the Banach fixed‐point principle. An explicit example is also considered.
P. T. Vaz, S. G. Deo
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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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Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov +2 more
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Volterra–Stieltjes integral equations and impulsive Volterra–Stieltjes integral equations
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we prove existence and uniqueness of solutions of Volterra–Stieltjes integral equations using the Henstock–Kurzweil integral. Also, we prove that these equations encompass impulsive Volterra–Stieltjes integral equations and prove the existence and uniqueness for these equations. Finally, we present some examples to illustrate our results.
Edgardo Alvarez +3 more
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On the oscillation of a Volterra integral equation [PDF]
Czechoslovak Mathematical Journal, 1995 Bhagat Singh
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Open Mathematics, 2022 The Picard iteration method is used to study the existence and uniqueness of solutions for the stochastic Volterra-Levin equation with variable delays. Several sufficient conditions are specified to ensure that the equation has a unique solution.
Jin Shoubo
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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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Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
Advances in Difference Equations, 2020 In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
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