Zobrazeno 1 - 10
of 4 725
pro vyhledávání: '"convolution equations"'
Autor:
Appleby, John A. D., Lawless, Emmet
In this article we discuss the requirements needed in order to characterise the solution space of perturbed linear integro-differential Volterra convolution equations. We highlight in general how the pointwise behaviour of perturbation functions does
Externí odkaz:
http://arxiv.org/abs/2407.08416
Autor:
Appleby, John A. D., Lawless, Emmet
In this article we are concerned with characterising when solutions of perturbed linear stochastic Volterra summation equations are $p$-summable along with when their continuous time counterparts, perturbed linear stochastic Volterra integrodifferent
Externí odkaz:
http://arxiv.org/abs/2407.07767
Autor:
Appleby, John A. D., Lawless, Emmet
In this paper we characterise the Lp stability of perturbed linear Volterra integrodifferential convolution equations. Additionally we provide a framework which points to necessary and sufficient conditions on the forcing function that ensures the so
Externí odkaz:
http://arxiv.org/abs/2306.09895
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 2641-2656 (2024)
The fractional sine series (FRSS) and the fractional cosine series (FRCS) were defined. Three types of discrete convolution operations for FRCS and FRSS were introduced, along with a detailed investigation into their corresponding convolution theorem
Externí odkaz:
https://doaj.org/article/9f03b4a16ade421abb424124d54daba2
Autor:
Engibaryan, N. B.1 (AUTHOR) yengib@instmath.sci.am
Publikováno v:
Theoretical & Mathematical Physics. Jan2024, Vol. 218 Issue 1, p68-74. 7p.
Autor:
Duduchava, Roland
The interval $j=[-1,1]$ turns into an Abelian group $\cA(\cJ)$ under the group operation $x+_\cJ y:=(x+y)(1+xy)^{-1},\qquad x,y\in\cJ$. This enables definition of the invariant measure $d_\cJ x=(1-x^2)^{-1}dx$ and the Fourier transform $\cF_\cJ$ on t
Externí odkaz:
http://arxiv.org/abs/2208.08765
Autor:
Zabczyk, Jerzy
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Nov 01. 134(11), 3275-3286.
Externí odkaz:
https://www.jstor.org/stable/4098036