Results 31 to 40 of about 1,156,539 (216)
Mathematics, 2021 The paper considers two types of Volterra integral equations of the first kind, arising in the study of inverse problems of the dynamics of controlled heat power systems.
Svetlana Solodusha, Mikhail Bulatov
doaj +1 more source
Note on a Family of Volterra Equations [PDF]
Proceedings of the American Mathematical Society, 1974 We prove that the solutions of a certain family of Volterra integrodifferential equations are uniformly bounded. We use this result to determine the asymptotic behavior of the solution of a Volterra equation in Hilbert space.
openaire +1 more source
MathematicsIn this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
doaj +1 more source
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
ON A SINGULAR VOLTERRA EQUATION
Demonstratio Mathematica, 1993 The equation \[ f(p) = 2 \int^ \infty_ p {F(r) \over \bigl( 1 - (p/r)^ 2 \bigr)^{1/2}} dr, \quad r \in (0, \infty) \] where \(f \in C^ 1 [0,\infty)\) is a given function such that \(\lim_{p \to \infty}\) \(pf(p)\) does exist, is important in the investigation of electromagnetic cascades.
openaire +2 more sources
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
wiley +1 more source
Walailak Journal of Science and Technology, 2014 This paper deals with the extended design for Fredholm and Volterra integral equations and design for Fredholm and Volterra integro-differential equations of first-order to second-order nonlinear Fredholm and second-order nonlinear Volterra integro ...
Imran AZIZ +3 more
doaj +1 more source
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
wiley +1 more source
Abstract and Applied Analysis, 2012 The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
doaj +1 more source
Low‐order system for eddy growth in the storm track
Quarterly Journal of the Royal Meteorological Society, EarlyView.Reanalysis data for the North Atlantic storm track are used to construct a low‐order model that optimally fits the observed interaction between the mean flow and baroclinic eddies. The resulting model is a certain type of predator–prey model. It explains various properties of the storm track, including why eddies grow linearly with the Eady growth rate,
Maarten H. P. Ambaum, Thomas H. A. Frame
wiley +1 more source