Results 51 to 60 of about 188,036 (267)
Stochastic Volterra integral equations and a class of first-order stochastic partial differential equations [PDF]
Stochastics, 2019 We investigate stochastic Volterra equations and their limiting laws. The stochastic Volterra equations we consider are driven by a Hilbert space valued Lévy noise and integration kernels may have non-linear dependence on the current state of the process.
F. Benth, Nils Detering, Paul Krühner
semanticscholar +1 more source
A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations
Fractal and Fractional, 2023 In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations for the two types (3D-MVFIEK2).
A. Mahdy +3 more
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On the linearization of Volterra integral equations
Journal of Mathematical Analysis and Applications, 1968 Volterra integral equations linearization, discussing integral kernels, integrodifferential equations and reactor ...
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AIMS MathematicsPicard's three step iteration algorithm was one of the iteration algorithms that was recently shown to be faster than some other iterative algorithms in the existing literature.
Lale Cona
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Mathematical 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
Integral equations of Volterra type
Journal of Mathematical Analysis and Applications, 1978 AbstractThe behavior of exact solutions to Volterra linear and non-linear integral equations with negative or positive, monotone kernels is studied. It includes properties such as the number of zeroes, boundedness and monotonicity of the solutions on the infinite interval.
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AIMS 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
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Quantifying community keystoneness in metacommunities under disturbance
Oikos, EarlyView.Understanding how metacommunities respond to natural and anthropogenic disturbances is a key objective in ecology. In this study, we introduce an analytical framework to identify communities whose extirpation triggers stronger (hereafter keystone communities) or weaker (hereafter idle communities) cascading effects on extinction and colonization events
Gabriel Khattar, Pedro R. Peres-Neto
wiley +1 more source
Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions
Journal of Applied Mathematics, 2014 We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh +3 more
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General mechanisms for a top–down origin of the predator–prey power law
Oikos, EarlyView.The ratio of predator‐to‐prey biomass density is not constant along ecological gradients: denser ecosystems tend to have fewer predators per prey, following a scaling relation known as the ‘predator–prey power law'. The origin of this surprisingly general pattern, particularly its connection with environmental factors and predator–prey dynamics, is ...
Onofrio Mazzarisi +2 more
wiley +1 more source