Results 21 to 30 of about 1,611 (185)

Numerical Solution of Locally Loaded Volterra Integral Equations

Computation
Loaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov, Aliona Dreglea   +3 more
doaj   +1 more source

Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration
Nihan Güngör
doaj   +1 more source

ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION

Demonstratio Mathematica, 1984
The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
openaire   +2 more sources

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

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, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Cordial Volterra Integral Equations and Singular Fractional Integro-Differential Equations in Spaces of Analytic Functions∗

Mathematical Modelling and Analysis, 2017
We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
doaj   +1 more source

Random volterra integral equations

Mathematical and Computer Modelling, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Optimal control and multitrophic physiologically‐based models: The binomial for successful decision support systems in insect pest management

Pest Management Science, EarlyView.
Decision‐making in integrated pest management (IPM) corresponds to an optimisation problem where the plant–pest dynamics and the control actions are constraints and where the objective function accounts for the costs of the treatments and the total income at the harvest time.
Luca Rossini, Ouassim Benhamouche, Emanuele Garone   +2 more
wiley   +1 more source

A Reduction Algorithm for Volterra Integral Equations

The PUMP Journal of Undergraduate Research, 2023
An integral equation is a way to encapsulate the relationships between a function and its integrals. We develop a systematic way of describing Volterra integral equations – specifically an algorithm that reduces any separable Volterra integral equation into an equivalent one in operator-linear form, i.e., one that only contains iterated integrals. This
Richard Gustavson, Sarah Rosen
openaire   +3 more sources

Adaptive harvesting of two trophic levels stabilises predator–prey dynamics. Simulations with Eurasian lynx and European roe deer

Wildlife Biology, EarlyView.
Europe has seen the recovery of many species of wild herbivores, which are now widespread across much of the continent. In addition, large carnivores are also recolonising many European countries. Most ungulates are managed through hunting, but natural predation can also have a significant influence in many areas.
Cécile A. E. Carpentier, Marco Heurich, Olivier Devineau, Olivier Gimenez, John D. C. Linnell   +4 more
wiley   +1 more source