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Variation in thermal physiology can drive the temperature-dependence of microbial community richness. [PDF]

Elife
Clegg T, Pawar S.
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Integral Volterra Equations

2016
In this chapter, we conducted a thorough examination of the Volterra integral equation of the second kind for an arbitrary real parameter λ, assuming that the free term f (x) is real-valued and continuous on the interval [a, b] and that the kernel K(x, t) is real-valued, continuous, and separable on the square Q(a, b) = {(x, t): [a, b] × [a, b]}.
L. Razdolsky
openaire   +3 more sources

Volterra Equation

2022
In the field of automatic control, the literature abounds with papers based on a generalisation of the classical state space description denoted “fractional pseudo state space description”.
Sabatier, Jocelyn, Farges, Christophe, Tartaglione, Vincent   +2 more
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Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 < r < 2

Numerical Methods for Partial Differential Equations, 2020
In our article, we are primarily concentrating on existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 
W. Kavitha Williams, V. Vijayakumar, R. Udhayakumar, S. K. Panda, K. S. Nisar   +4 more
semanticscholar   +1 more source

Analytical and numerical methods for Volterra equations

SIAM studies in applied and numerical mathematics, 1985
Some applications of Volterraequations Linear Volterra equations of the second kind Nonlinear equations of the second kind Equations of the first kind Convolution equations The numerical solution of equations of the second kind Product Integration ...
P. Linz
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On a nonlinear volterra equation

Mathematical Methods in the Applied Sciences, 1986
AbstractNonnegative solutions u of the nonlinear Volterra equation u = a * g(u) (g(0) = 0) in mathematical physics are considered. Under certain assumptions the nonhomogenuous equation u = a * g(u) + ƒ is studied. Some approximations of nonnegative solutions of the homogenuous equation are considered by the nonnegative solutions of the nonhomogenuous ...
W. Okrasiński Wroclaw, E. Meister
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Malliavin Calculus and Optimal Control of Stochastic Volterra Equations

Journal of Optimization Theory and Applications, 2014
Solutions of stochastic Volterra (integral) equations are not Markov processes, and therefore, classical methods, such as dynamic programming, cannot be used to study optimal control problems for such equations.
N. Agram, B. Øksendal
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Lévy-driven Volterra Equations in Space and Time

, 2014
We investigate nonlinear stochastic Volterra equations in space and time that are driven by Lévy bases. Under a Lipschitz condition on the nonlinear term, we give existence and uniqueness criteria in weighted function spaces that depend on integrability ...
Carsten Chong
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A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis

International Journal of Computational Mathematics, 2019
The present work considers the approximation of solutions of a type of fractional-order Volterra–Fredholm integro-differential equations, where the fractional derivative is introduced in Caputo sense.
P. Das, Subrata Rana, H. Ramos
semanticscholar   +1 more source