Results 31 to 40 of about 348 (58)

On a Volterra Stieltjes integral equation

International Journal of Stochastic Analysis, Volume 3, Issue 3, Page 177-191, 1990., 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
wiley   +1 more source

Periodic solutions of Volterra integral equations

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 4, Page 781-792, 1988., 1987
Consider the system of equations and Existence of continuous periodic solutions of (1) is shown using the resolvent function of the kernel k. Some important properties of the resolvent function including its uniqueness are obtained in the process. In obtaining periodic solutions of (1) it is necessary that the resolvent of k is integrable in some sense.
M. N. Islam
wiley   +1 more source

Subexponential solutions of scalar linear integro-differential equations with delay [PDF]

, 2004
This paper considers the asymptotic behaviour of solutions of the scalar linear convolution integro-differential equation with delay x0(t) = − n Xi=1 aix(t − i) + Z t 0 k(t − s)x(s) ds, t > 0, x(t) = (t), − t 0, where = max1in i.
Appleby, John A.D., Győri, István, Reynolds, David W.   +2 more
core  

On the properties of the solution set map to Volterra integral inclusion

, 2017
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
core   +1 more source

Long time behavior of a mean-field model of interacting neurons [PDF]

, 2019
We study the long time behavior of the solution to some McKean-Vlasov stochastic differential equation (SDE) driven by a Poisson process. In neuroscience, this SDE models the asymptotic dynamic of the membrane potential of a spiking neuron in a large ...
Cormier, Quentin, Tanré, Etienne, Veltz, Romain   +2 more
core   +4 more sources

The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications

Abstract and Applied Analysis
MSC2020 Classification: 47H10, 45D05 ...
M. Pandiselvi, M. Jeyaraman, Rahul Shukla   +2 more
doaj   +1 more source

Global stability of an SIS epidemic model with a finite infectious period [PDF]

, 2017
Assuming a general distribution for the sojourn time in the in- fectious class, we consider an SIS type epidemic model formulated as a scalar integral equation. We prove that the endemic equilibrium of the model is globally asymptotically stable whenever
Nakata, Yukihiko, Rost, Gergely
core   +1 more source

Erd\'elyi-Kober Fractional Diffusion [PDF]

, 2011
The aim of this Short Note is to highlight that the {\it generalized grey Brownian motion} (ggBm) is an anomalous diffusion process driven by a fractional integral equation in the sense of Erd\'elyi-Kober, and for this reason here it is proposed to call ...
Pagnini, Gianni
core  

Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations [PDF]

, 2007
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that
Diethelm, Kai
core  

Strong solutions to stochastic Volterra equations

, 2006
In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties for stochastic convolutions are studied.
Karczewska, Anna, Lizama, Carlos
core   +2 more sources