Results 31 to 40 of about 11,797 (246)

Stability for Linear Volterra Difference Equations in Banach Spaces

open access: yesAbstract and Applied Analysis, 2018
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
doaj   +1 more source

Random volterra integral equations

open access: yesMathematical and Computer Modelling, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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

open access: yesComputer Assisted Methods in Engineering and Science, 2023
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
doaj  

Distilling food web dynamics: top–down and bottom–up drivers of extinction and trophic cascades

open access: yesOikos, EarlyView.
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
wiley   +1 more source

A Pontryagin maximum principle for terminal state-constrained optimal control problems of Volterra integral equations with singular kernels

open access: yesAIMS Mathematics, 2023
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
doaj   +1 more source

Overexploitation can counteract top‐down control and the paradox of enrichment in simple food chains

open access: yesOikos, EarlyView.
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
wiley   +1 more source

Seasonal variations in planktonic food web structure affect stability by shifting the distribution of energy fluxes

open access: yesOikos, EarlyView.
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

open access: yesOikos, EarlyView.
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
wiley   +1 more source

Numerical Solution of Locally Loaded Volterra Integral Equations

open access: yesComputation
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
doaj   +1 more source

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