Results 31 to 40 of about 3,307,000 (308)

Anticipating stochastic Volterra equations

Stochastic Processes and their Applications, 1997
Preprint enviat per a la seva publicació en una revista científica: Stochastic Processes and their Applications, Volume 72, Issue 1, 1 December 1997, Pages 73-95. [https://doi.org/10.1016/S0304-4149(97)00075-6]
Alòs, Elisa, Nualart, David, 1951-
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Singular Volterra integral equations

Applied Mathematics Letters, 2000
AbstractExistence results are presented for the singular Volterra integral equation y(t) = h(t) + ∫0t k(t, s) f(s, y(s)) ds, for t ∈ [0,T]. Here f may be singular at y = 0. As a consequence new results are presented for the nth order singular initial value problem.
Agarwal, R.P., O'Regan, D.
openaire   +2 more sources

Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering

Mathematics, 2021
The paper considers two types of Volterra integral equations of the first kind, arising in the study of inverse problems of the dynamics of controlled heat power systems.
Svetlana Solodusha, Mikhail Bulatov
doaj   +1 more source

The central limit theorem for stochastic Volterra equations with singular kernels [PDF]

arXiv, 2023
This work concerns stochastic Volterra equations with singular kernels. Under the suitable conditions, we prove the central limit theorem for them. Moreover, we apply our result to stochastic Volterra equations with the kernels of fractional Brownian motions with the Hurst parameter $H\in(0, 1)$.
arxiv  

A new approach for solving nonlinear Volterra integro-differential equations with Mittag--Leffler kernel

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2020
In this work, we consider a general class of nonlinear Volterra integro-differential equations with Atangana–Baleanu derivative. We use the operational matrices based on the shifted Legendre polynomials to obtain numerical solution of the considered ...
R. Jafari
semanticscholar   +1 more source

Note on a Family of Volterra Equations [PDF]

Proceedings of the American Mathematical Society, 1974
We prove that the solutions of a certain family of Volterra integrodifferential equations are uniformly bounded. We use this result to determine the asymptotic behavior of the solution of a Volterra equation in Hilbert space.
openaire   +1 more source

Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Mathematical Biosciences and Engineering, 2022
In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
doaj   +1 more source

Volterra type McKean-Vlasov SDEs with singular kernels: Well-posedness, Propagation of Chaos and Euler schemes [PDF]

arXiv, 2023
In this paper, our work is devoted to studying Volterra type McKean-Vlasov stochastic differential equations with singular kernels. Firstly, the well-posedness of Volterra type McKean-Vlasov stochastic differential equations are established. And then propagation of chaos is proved with explicit estimate of the convergence rate. Finally, We also propose
arxiv  

The stability of generalized Volterra equations

Journal of Mathematical Analysis and Applications, 1978
AbstractIn this paper, a particular type of a system of generalized Volterra equations [1], whose solutions are assured to be nonnegative for arbitrary nonnegative initial values, is considered. The extended stability theorem of LaSalle is used for deriving conditions for a nonnegative equilibrium point to be stable with respect to a certain subset of ...
Hidekatsu Tokumaru, Norihiko Adachi, Yasuhiro Takeuchi   +2 more
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Nonconvolution nonlinear integral Volterra equations with monotone operators [PDF]

Comput. Math. Appl. 50 (2005), 1405-1414, 2010
Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques.
arxiv   +1 more source