Results 41 to 50 of about 26,274 (211)
On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation
Journal of Function Spaces, 2014 We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
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Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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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
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Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]
, 2014 Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng +2 more
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Mathematical 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
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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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Is an ecosystem perspective sufficient to understand meta‐ecosystem processes? A critical reflection
Oikos, EarlyView.Meta‐ecosystems are the largest and probably most complex structures investigated in ecology. Because of their complexity they are often separated into their respective sub‐systems and then studied in isolation. This is often done without analysing whether an understanding of the individual ecosystems can lead to a proper understanding of the meta ...
Jurg W. Spaak +4 more
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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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Admissibility and Nonlinear Volterra Integral Equations [PDF]
Proceedings of the American Mathematical Society, 1970 Nonlinear perturbations of linear Volterra integral equations are studied in an abstract setting which contains and generalizes some earlier results on the same problem. The perturbed problem is first written as a variation of constants equation on a Fréchet space.
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Distilling food web dynamics: top–down and bottom–up drivers of extinction and trophic cascades
Oikos, 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
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