Results 41 to 50 of about 46,116 (226)

Stability for Linear Volterra Difference Equations in Banach Spaces

open access: yesAbstract and Applied Analysis, 2018
This paper is devoted to studying the existence and stability of implicit Volterra difference equations in Banach spaces. The proofs of our results are carried out by using an appropriate extension of the freezing method to Volterra difference equations ...
Rigoberto Medina
doaj   +1 more source

A Pontryagin maximum principle for terminal state-constrained optimal control problems of Volterra integral equations with singular kernels

open access: yesAIMS Mathematics, 2023
We consider the terminal state-constrained optimal control problem for Volterra integral equations with singular kernels. A singular kernel introduces abnormal behavior of the state trajectory with respect to the parameter of $ \alpha \in (0, 1) $.
Jun Moon
doaj   +1 more source

On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems

open access: yesInternational Journal of Differential Equations, 2014
This paper studies Volterra integral evolution equations of convolution type from the point of view of complex inversion formula and the admissibility in the Salamon-Weiss sens.
Ahmed Fadili, Hamid Bounit
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Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

open access: yesMathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
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Zero-sum linear quadratic stochastic integral games and BSVIEs [PDF]

open access: yes, 2010
This paper formulates and studies a linear quadratic (LQ for short) game problem governed by linear stochastic Volterra integral equation. Sufficient and necessary condition of the existence of saddle points for this problem are derived. As a consequence
Shi, Yufeng, Wang, Tianxiao
core  

Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations

open access: yesDiscrete Dynamics in Nature and Society, 2018
We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences.
E. Messina, A. Vecchio
doaj   +1 more source

Projective stochastic equations and nonlinear long memory [PDF]

open access: yes, 2013
A projective moving average $\{X_t, t \in \mathbb{Z}\}$ is a Bernoulli shift written as a backward martingale transform of the innovation sequence.
Grublytė, Ieva, Surgailis, Donatas
core  

Convergence and data dependence results of the nonlinear Volterra integral equation by the Picard's three step iteration

open access: yesAIMS Mathematics
Picard's three step iteration algorithm was one of the iteration algorithms that was recently shown to be faster than some other iterative algorithms in the existing literature.
Lale Cona
doaj   +1 more source

Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM

open access: yesAbstract and Applied Analysis, 2013
The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
doaj   +1 more source

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