Results 11 to 20 of about 11,267 (231)
Developing Lotka-Volterra Based Models to Describe Bdellovibrio Predation in a Batch and Chemostat Experimental System. [PDF]
Environ Microbiol RepUsing flow cytometry, we obtain key growth parameters of Pseudomonas and Bdellovibrio predatory bacteria which we use to develop Lotka–Volterra mathematical based models to predict the change in predator, prey, and glucose in batch and chemostat systems.
Ogundero A, Connelly S, Sloan WT.
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Anticipating stochastic Volterra equations
Stochastic Processes and their Applications, 1997 Preprint enviat per a la seva publicació en una revista científica: Stochastic Processes and their Applications, Volume 72, Issue 1, 1 December 1997, Pages 73-95. [https://doi.org/10.1016/S0304-4149(97)00075-6]
Alòs, Elisa, Nualart, David, 1951-
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Stochastic Volterra integral equations with a parameter
Advances in Difference Equations, 2017 In this paper, we study the properties of continuity and differentiability of solutions to stochastic Volterra integral equations and backward stochastic Volterra integral equations depending on a parameter.
Yanqing Wang
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Singular Volterra integral equations
Applied Mathematics Letters, 2000 AbstractExistence results are presented for the singular Volterra integral equation y(t) = h(t) + ∫0t k(t, s) f(s, y(s)) ds, for t ∈ [0,T]. Here f may be singular at y = 0. As a consequence new results are presented for the nth order singular initial value problem.
Agarwal, R.P., O'Regan, D.
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Advances in Difference Equations, 2018 This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind.
Bijan Hasani Lichae +2 more
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Note on a Family of Volterra Equations [PDF]
Proceedings of the American Mathematical Society, 1974 We prove that the solutions of a certain family of Volterra integrodifferential equations are uniformly bounded. We use this result to determine the asymptotic behavior of the solution of a Volterra equation in Hilbert space.
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Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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The stability of generalized Volterra equations
Journal of Mathematical Analysis and Applications, 1978 AbstractIn this paper, a particular type of a system of generalized Volterra equations [1], whose solutions are assured to be nonnegative for arbitrary nonnegative initial values, is considered. The extended stability theorem of LaSalle is used for deriving conditions for a nonnegative equilibrium point to be stable with respect to a certain subset of ...
Hidekatsu Tokumaru +2 more
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On a perturbed Volterra integral equation
Journal of Mathematical Analysis and Applications, 1970 AbstractFor the Volterra integral equation x(t) = f(t) − ∝0t a(t, s)(x(s) + g[s, x(s)]) ds, if the resolvent kernel of a(t, s) is sufficiently well-behaved, and if ¦g(t, x)¦ → 0 as t → ∞ in some sense, then ¦x(t) − y(t)¦ → 0 as t → ∞, where y(t) is the solution of y(t) = f(t) − ∝0t a(t, s) y(s) ds.
Aaron Strauss, Aaron Strauss
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Walailak Journal of Science and Technology, 2014 This paper deals with the extended design for Fredholm and Volterra integral equations and design for Fredholm and Volterra integro-differential equations of first-order to second-order nonlinear Fredholm and second-order nonlinear Volterra integro ...
Imran AZIZ +3 more
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