Results 21 to 30 of about 1,498 (180)

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

open access: yesOpuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

open access: yesAbstract and Applied Analysis, 2014
We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
doaj   +1 more source

Existence, uniqueness and HUR stability of fractional integral equations by random matrix control functions in MMB-space

open access: yesJournal of Taibah University for Science, 2021
In this paper, we consider a generalized triangular norm on matrix and introduce Menger Banach matrix valued spaces. Next, we apply a class of random matrix control functions to investigate the existence, uniqueness and HUR stability of a class of ...
Reza Chaharpashlou   +2 more
doaj   +1 more source

ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION

open access: yesDemonstratio 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

open access: yesMathematical 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 pseudo-Volterra nonhomogeneous integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova   +3 more
doaj   +1 more source

Random volterra integral equations

open access: yesMathematical 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

open access: yesMathematical 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

open access: yesPest 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   +2 more
wiley   +1 more source

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