Results 61 to 70 of about 3,307,000 (308)
Open MathematicsIn this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A. +2 more
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Stability for Linear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2018 This paper is devoted to studying the existence and stability of implicit Volterra difference equations in Banach spaces. The proofs of our results are carried out by using an appropriate extension of the freezing method to Volterra difference equations ...
Rigoberto Medina
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Stability of the fractional Volterra integro-differential equation by means of $ψ-$Hilfer operator [PDF]
, 2018 In this paper, using the Riemann-Liouville fractional integral with respect to another function and the $\psi-$Hilfer fractional derivative, we propose a fractional Volterra integral equation and the fractional Volterra integro-differential equation. In this sense, for this new fractional Volterra integro-differential equation, we study the Ulam-Hyers ...
arxiv +1 more source
A Solution for Volterra Fractional Integral Equations by Hybrid Contractions
Mathematics, 2019 In this manuscript, we propose a solution for Volterra type fractional integral equations by using a hybrid type contraction that unifies both nonlinear and linear type inequalities in the context of metric spaces.
Alqahtani, Aydi, Karapinar, Rakočević
semanticscholar +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
Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations
Discrete Dynamics in Nature and Society, 2018 We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences.
E. Messina, A. Vecchio
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On the properties of the solution set map to Volterra integral inclusion [PDF]
Topol. Methods Nonlinear Anal. 49(2017), 715-737, 2018 For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map, corresponding to this Volterra integral equation, possesses a continuous singlevalued selection ...
arxiv +1 more source
On the solutions of a nonlinear Volterra equation
Journal of Mathematical Analysis and Applications, 1972 Publisher Summary This chapter presents the solutions of a nonlinear Volterra equation. A real nonlinear Volterra equation is given by: where b(t), f(t), g(x) are given real functions. There exists a solution x(t) on 0 ≤ t ≤ ∞. Moreover, under this hypothesis any solution of il) on 0 ≤ t ≤ ∞ satisfies sup |x(t)| < ∞.
openaire +2 more sources
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky +3 more
wiley +1 more source
On the Complex Inversion Formula and Admissibility for a Class of Volterra Systems
International Journal of Differential Equations, 2014 This paper studies Volterra integral evolution equations of convolution type from the point of view of complex inversion formula and the admissibility in the Salamon-Weiss sens.
Ahmed Fadili, Hamid Bounit
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