Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider a class of impulsive stochastic Volterra-Levin equations. By establishing a new integral inequality, some sufficient conditions for the existence and global attractivity of periodic solution for impulsive stochastic Volterra ...
dingshi li, Daoyi Xu
doaj +3 more sources
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 +5 more sources
On the oscillation of a Volterra integral equation [PDF]
Czechoslovak Mathematical Journal, 1995 Bhagat Singh
openalex +3 more sources
Numerical Solutions of Volterra Integral Equations of Third Kind and Its Convergence Analysis
Symmetry, 2022 The current work suggests a method for the numerical solution of the third type of Volterra integral equations (VIEs), based on Lagrange polynomial, modified Lagrange polynomial, and barycentric Lagrange polynomial approximations.
I. A. Bhat, L. Mishra
semanticscholar +1 more source
Numerical methods for stochastic Volterra integral equations with weakly singular kernels [PDF]
IMA Journal of Numerical Analysis, 2020 In this paper we first establish the existence, uniqueness and Hölder continuity of the solution to stochastic Volterra integral equations (SVIEs) with weakly singular kernels, with singularities $\alpha \in (0, 1)$ for the drift term and $\beta \in (0,
Min Li, Chengming Huang, Yaozhong Hu
semanticscholar +1 more source
Path dependent Feynman–Kac formula for forward backward stochastic Volterra integral equations [PDF]
Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2020 This paper is concerned with the relationship between forward-backward stochastic Volterra integral equations (FBSVIEs, for short) and a system of (non-local in time) path dependent partial differential equations (PPDEs, for short).
Hanxiao Wang, J. Yong, Jianfeng Zhang
semanticscholar +1 more source
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.
A. Georgieva
semanticscholar +1 more source
Extended backward stochastic Volterra integral equations and their applications to time-Inconsistent stochastic recursive control problems [PDF]
Mathematical Control and Related Fields, 2020 In this paper, we study extended backward stochastic Volterra integral equations (EBSVIEs, for short). We establish the well-posedness under weaker assumptions than the literature, and prove a new kind of regularity property for the solutions.
Yushi Hamaguchi
semanticscholar +1 more source
, 2021 In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, η ℷ ν $\eta _{\gimel }^{\nu }$ -metric spaces) are obtained.
H. Hammad, H. Aydi, Nabil Mlaiki
semanticscholar +1 more source
A unified approach to well-posedness of type-I backward stochastic Volterra integral equations [PDF]
Electronic Journal of Probability, 2020 We study a novel general class of multidimensional type-I backward stochastic Volterra integral equations. Toward this goal, we introduce an infinite dimensional system of standard backward SDEs and establish its well-posedness, and we show that it is ...
Camilo Hern'andez, Dylan Possamai
semanticscholar +1 more source