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On nonlinear scalar Volterra integral equations. I [PDF]
Transactions of the American Mathematical Society, 1985 The scalar nonlinear Volterra integral equation \[ u ( t ) +
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Alexandria Engineering Journal, 2016 In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
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Fractal and Fractional, 2020 The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
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An Adaptive Multiple Shooting Strategy for Optimal Control
Optimal Control Applications and Methods, EarlyView.We study how multiple shooting affects the convergence of Newton‐type methods for optimal control, comparing several shooting strategies across 40 benchmark problems. The study covers interior‐point and sequential quadratic programming methods with both Quasi‐Newton approximations and exact Hessians.
Robert Lampel, Sebastian Sager
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A tipping point for tipping points
Oikos, EarlyView.Tipping points (TPs) – often understood as abrupt changes to a system – have become a popular framework for ecology and environmental science across spatial and temporal scales. The underlying, quantitative foundation of TP theory is built on mathematical models from catastrophe and predator–prey theories.
David G. Jenkins +1 more
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A Multiple Iterated Integral Inequality and Applications
Journal of Applied Mathematics, 2014 We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
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On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations [PDF]
Abstract and Applied Analysis, 2013 We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval[0,a]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness.
Özdemir, İsmet +2 more
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Neural Network‐Based Runtime Monitoring and Control for Unknown Nonlinear Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Real‐time system monitoring and stabilization become especially challenging when the system dynamics are unknown. This article introduces a novel design for monitoring and stabilizing unknown nonlinear systems with measurement noise. The design utilizes a generic modelling framework by decomposing the system into a known tunable linear ...
Jianglin Lan, Xianxian Zhao, Ron Patton
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Competitive Lotka–Volterra population dynamics with jumps [PDF]
, 2011 This paper considers competitive Lotka–Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show that a stochastic differential equation (SDE) with jumps associated with the model has a unique global positive ...
Yuan, Chenggui +3 more
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Modelling the effect of temperature on species coexistence
Journal of Animal Ecology, EarlyView.This study shows that pairwise coexistence is maximized when temperature balances competitive asymmetry, while the effects of warming depend on thermal response shape. By separating structural from model‐dependent predictions, it provides a general framework linking thermal biology, competition and coexistence under climate change. Abstract Temperature
Serguei Saavedra +3 more
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