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A Practical Identifiability Criterion Leveraging Weak-Form Parameter Estimation. [PDF]

Bull Math Biol
Heitzman-Breen N, Dukic V, Bortz DM.
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denim: an R package for deterministic compartmental models with flexible dwell time distributions

Ong TP, Phan ATQ, Ha LM, Choisy M.
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The Volterra Theory of Integro-Differential Equations

Journal of Mathematical Sciences, 2023
This paper considers a Volterra integro-differential equation with logarithmic kernel in some weighted spaces on a finite interval with power singularities at the endpoints of the interval. Using the properties of the zeros of a polynomial related to the kernel function, the authors derive solvability results for the considered integro-differential ...
Soldatov, Alexandre, Zaripov, Sarvar
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Reconstructing a fractional integro‐differential equation

Mathematical Methods in the Applied Sciences, 2020
We are concerned with the inverse problem of reconstructing a fractional integro‐differential equation from a single observation of its solution at an arbitrary point. We first prove the global existence of solutions generated by suitable initial conditions.
Amin Boumenir, Vu Kim Tuan, Waled Al‐Khulaifi   +2 more
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On Hölder solutions of the integro-differential Zakai equation [PDF]

Stochastic Processes and Their Applications, 2009
The existence and uniqueness of solutions of the Cauchy problem to a stochastic parabolic integro-differential equation is investigated. The equation considered arises in a nonlinear filtering problem with a jump signal process and continuous ...
Remigijus Mikulevičius, H Pragarauskas   +1 more
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Structural analysis of integro-differential–algebraic equations

Journal of Computational and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reza Zolfaghari, Jacob Taylor, Raymond J. Spiteri   +2 more
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Collocation Methods for Integro-Differential Equations

SIAM Journal on Numerical Analysis, 1977
In this note we extend the work of de Boor and Swartz (SIAM J. Numer. Anal., 10 (1973), pp. 582-606) on the solution of two-point boundary value problems by collocation. In particular, we are concerned with boundary value problems described by integro-differential equations involving derivatives of order up to and including m with m boundary conditions.
Hangelbroek, Rutger J., Kaper, Hans G., Leaf, Gary K.   +2 more
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Integro-Differential Equations

1992
The aim of this chapter is to extend some results of Chapters 1 – 7 concerning boundedness, convergence and quasiconvergence to a class of integro-differential equations with retarded argument which arises from phase synchronization problems. Our aim is to apply ordinary differential equation methods such as the Bakaev-Guzh technique and non-local ...
Gennadij A. Leonov, Volker Reitmann, Vera B. Smirnova   +2 more
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Improvement by projection for integro‐differential equations

Mathematical Methods in the Applied Sciences, 2020
The aim of this work is to establish an improved convergence analysis via Kulkarni method to approximate the solution of an integro‐differential equation in . We prove the following convergence orders: Kulkarni order is , and Kulkarni iterated order is . The present study extends and improves earlier results in the literature.
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Integro-Differential Equations of Fractional Order

Differential Equations and Dynamical Systems, 2012
For a Cauchy type problem for a two-dimensional integro-differential equation of fractional order the global unique existence of a solution is proved if the nonlinearity satisfies a global Lipschitz condition with a sufficiently small Lipschitz constant.
Abbas, Saïd, Benchohra, Mouffak, Graef, John R.   +2 more
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