Results 41 to 50 of about 25,523 (249)

New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications

open access: yesAbstract and Applied Analysis, 2014
Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
doaj   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +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

Zero-sum linear quadratic stochastic integral games and BSVIEs [PDF]

open access: yes, 2010
This paper formulates and studies a linear quadratic (LQ for short) game problem governed by linear stochastic Volterra integral equation. Sufficient and necessary condition of the existence of saddle points for this problem are derived. As a consequence
Shi, Yufeng, Wang, Tianxiao
core  

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

Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity

open access: yesAbstract and Applied Analysis, 2012
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
doaj   +1 more source

Identification of the relaxation kernel in diffusion processes and viscoelasticity with memory via deconvolution

open access: yes, 2016
We present an algorithm for the identification of the relaxation kernel in the theory of diffusion systems with memory (or of viscoelasticity) which is linear, in the sense that we propose a linear Volterra integral equation of convolution type whose ...
Amendola   +24 more
core   +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

On Some Classes of Linear Volterra Integral Equations

open access: yesAbstract and Applied Analysis, 2014
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
doaj   +1 more source

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