Results 31 to 40 of about 11,797 (246)
Stability for Linear Volterra Difference Equations in Banach Spaces
This paper is devoted to studying the existence and stability of implicit Volterra difference equations in Banach spaces. The proofs of our results are carried out by using an appropriate extension of the freezing method to Volterra difference equations ...
Rigoberto Medina
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Random volterra integral equations
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ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye +6 more
wiley +1 more source
Uniform-graded mesh block method for second kind Volterra integral equations
In this paper a block method is developed to use on uniform-graded mesh for the solution of Volterra integral equations of the second kind. This method permits the use of a variable step size when solving Volterra integral equations.
Gamal M. Attia
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Distilling food web dynamics: top–down and bottom–up drivers of extinction and trophic cascades
Quantifying population dynamics is a fundamental challenge in ecology and evolutionary biology, particularly for species that are cryptic, microscopic, or extinct. Traditional approaches rely on continuous representations of population size, but in many cases, the precise number of individuals is unknowable.
Justin D. Yeakel
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We consider the terminal state-constrained optimal control problem for Volterra integral equations with singular kernels. A singular kernel introduces abnormal behavior of the state trajectory with respect to the parameter of $ \alpha \in (0, 1) $.
Jun Moon
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Overexploitation can counteract top‐down control and the paradox of enrichment in simple food chains
Because of its high abundance or its high feeding intensity, a consumer can overexploit its resource by consuming it on a shorter timescale than resource regeneration. While this short‐term overexploitation is widespread in nature, its general implications for biotic control patterns and ecosystem stability are not clear.
Josquin Guerber +2 more
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Seasonality in temperate ecosystems shapes species phenology, influencing interactions and food web structure. Variations in species richness and biomass affect trophic interaction strength, a crucial factor for community stability, which can be assessed through energy fluxes – an essential indicator of ecosystem function.
Simon Bazin +4 more
wiley +1 more source
Friends or foes? Polyploidy and competition in a grassland geophyte
Previous studies have suggested polyploids may possess a competitive advantage over diploids, due to their larger size, increased vigour or ability to better respond to abiotic stress. However, few studies have tested the effect of polyploidy on competitive ability directly, and only relatively recently has this oversight begun to be addressed. Here we
Damian Vaz de Sousa +3 more
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Numerical Solution of Locally Loaded Volterra Integral Equations
Loaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin +3 more
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