Results 11 to 20 of about 556 (82)
Global stability of an SIS epidemic model with a finite infectious period [PDF]
arXiv, 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
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Stationary dense operators in sequentially complete locally convex spaces [PDF]
Novi Sad J. Math. Vol. 47, No. 1, 2017, 165-175, 2018 The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spaces.Comment: arXiv admin note: substantial text overlap with arXiv:1610 ...
c, Marko Kosti\' +2 more
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The law of the supremum of a stable L\'{e}vy process with no negative jumps [PDF]
, 2008 Let $X=(X_t)_{t\ge0}$ be a stable L\'{e}vy process of index $\alpha \in(1,2)$ with no negative jumps and let $S_t=\sup_{0\le s\le t}X_s$ denote its running supremum for $t>0$.
Bernyk, Violetta +2 more
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On the existence and uniqueness of solution to Volterra equation on a time scale
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
doaj +1 more source
Semilinear Volterra integrodifferential equations with nonlocal initial conditions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 127-139, 1999., 1999 We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.
Sergiu Aizicovici, Mark Mckibben
wiley +1 more source
An oscillation criterion for inhomogeneous Stieltjes integro‐differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 287-291, 1994., 1993 The aim of the paper is to give an oscillation theorem for inhomogeneous Stieltjes integro‐differential equation of the form . The paper generalizes the author′s work [2].
M. A. El-Sayed
wiley +1 more source
Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
International Journal of Stochastic Analysis, Volume 5, Issue 1, Page 43-67, 1992., 1991 The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder′s theorem is used. The paper is a continuation of papers [1]‐[8] and the generalizations of some results from [9]‐[11].
Ludwik Byszewski
wiley +1 more source
Extremal solutions to a class of multivalued integral equations in Banach space
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 205-220, 1992., 1992 We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang‐bang” theorem for a class of nonlinear, infinite dimensional control systems.
Sergiu Aizicovici +1 more
wiley +1 more source
Long Memory in a Linear Stochastic Volterra Differential Equation [PDF]
, 2010 In this paper we consider a linear stochastic Volterra equation which has a stationary solution. We show that when the kernel of the fundamental solution is regularly varying at infinity with a log-convex tail integral, then the autocovariance function ...
Appleby, John A. D., Krol, Katja
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Some properties of the functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 27-44, 1991., 1990 A discussion is given of some of the properties of the functional Volterra Integral equation and of the corresponding multidimensional equation. Sufficient conditions are given for the uniqueness of the solution, and an iterational process is provided for the construction of the solution, together with error estimates.
Li. G. Chambers
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