Results 41 to 50 of about 95 (88)

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan   +6 more
wiley   +1 more source

An extension of Horn′s theorem for a space of locally integrable functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 635-640, 1992., 1991
In this paper we extend the fixed point theorem of Horn′s to the space of locally integrable functions from (−∞, 0] into a Banach space X.
Hernan R. Henriquez   +1 more
wiley   +1 more source

On Razumikhin Approach for Partial Stability Problem of Retarded Systems [PDF]

open access: yes, 2015
For nonlinear retarded functional differential systems the problem of asymptotic stability with respect to a part of the variables of a "partial" equilibrium position is considered.
V I Vorotnikov
core  

Functional differential equations with infinite delay in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 497-508, 1991., 1990
In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being exponentially stable in abstract phase spaces which satisfy some suitable hypotheses are obtained.
Jin Liang, Tijun Xiao
wiley   +1 more source

ASYMPTOTIC STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION

open access: yes, 2002
The uniform stability of the zero solution and the asymptotic behaviour of all solutions of the neutral delay differential equation$$ [x(t)-P(t)x(t-\tau)]'+Q(t)x(t-\sigma)=0,\quad t\ge t_0, $$are investigated, where $\tau,\sigma\in(0,\infty)$, $P\in C ...
Xingfu Zou, X. H. Tang
core   +1 more source

Existence and Controllability for Second‐Order Functional Differential Equations With Infinite Delay and Random Effects

open access: yesInternational Journal of Differential Equations, Volume 2024, Issue 1, 2024.
This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha   +5 more
wiley   +1 more source

On the stability of a Cauchy type functional equation

open access: yesDemonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye   +3 more
doaj   +1 more source

Feedback regulation of logistic growth

open access: yes, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 177-192, 1993.
K. Gopalsamy, Pei-Xuan Weng
wiley   +1 more source

Mathematical model on influence of past experiences on present activities of human brain

open access: yesComputational and Mathematical Biophysics
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara   +2 more
doaj   +1 more source

Modeling measles transmission in adults and children: Implications to vaccination for eradication

open access: yesInfectious Disease Modelling
Despite the availability of successful vaccines, measles outbreaks have occurred frequently in recent years, presumably due to the lack of proper vaccination implementation.
Anjana Pokharel   +4 more
doaj   +1 more source

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