Results 101 to 110 of about 209,094 (283)
A Volterra equation with square integrable solution [PDF]
Proceedings of the American Mathematical Society, 1980 We study the asymptotic behavior of the solutions of the nonlinear Volterra integrodifferential equation \[ x ′ ( t ) + ∫ 0 t a ( t − s ) g ( x ( s )
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
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Dynamic inverse problem in a weakly laterally inhomogeneous medium [PDF]
, 2005 An inverse problem of wave propagation into a weakly laterally inhomogeneous medium occupying a half-space is considered in the acoustic approximation. The half-space consists of an upper layer and a semi-infinite bottom separated with an interface.
Blagovestchenskii, A. S. +2 more
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Solution of boundary value problems for batteries: Operator‐theoretic methods
AIChE Journal, Volume 71, Issue 7, July 2025.Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna +1 more
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Singularly perturbed volterra integral equations [PDF]
, 1999 This thesis studies singularly perturbed Volterra integral equations of the form eu(t)=/(t,e)+fg(t,s,11(5)) ds, 00 is a small parameter The function f(t,e) is defined for 00. The aim is to find asymptotic approximations l to these solutions.
Bijura, Angelina
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A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations [PDF]
مدلسازی پیشرفته ریاضیIn this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra
Mehdi Jalalvand +2 more
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Modeling Trophic Dynamics in Lake Võrtsjärv: Energy Flow and Species Interactions
Ecology and Evolution, Volume 15, Issue 7, July 2025.Aligning bioenergetic, or allometric trophic network, models accurately with empirical data remains challenging. Our present study contributes to these efforts by developing a trophic network model to describe population dynamics at Lake Võrtsjärv, Estonia, with a focus on predator–prey relationships and energy considerations.
Maria Tirronen, Anna Kuparinen
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A method for solving nonlinear Volterra integral equations of the second kind [PDF]
, 1969 Peter Linz
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An innovative iterative approach to solving Volterra integral equations of second kind
Acta PolytechnicaMany scientists have shown great interest in exploring the realm of second-kind integral equations, offering many techniques for solving them, including exact, approximate, and numerical methods.
Mohammed Abdulshareef Hussein +2 more
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Inferring community assembly processes from mangrove species–area relationships
Oikos, Volume 2025, Issue 7, July 2025.The increasing species–area relationship (SAR) is a nearly universal ecological law. But recent theory has predicted that in systems with low large‐scale diversity the law should be violated and the SAR should be nearly flat at intermediate scales, with species richness roughly constant at some value typically greater than one.
Ryan A. Chisholm +3 more
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