Results 51 to 60 of about 5,252,215 (279)
A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [PDF]
Proceedings of the National Academy of Sciences, 1963 A sufficient condition for the asymptotic stability of the trivial solution of a functional differential system is given which generalizes a result of \textit{J. P. Lasalle} [IRE Trans. Circuit Theory 7, 520--527 (1960), \url{http://dx.doi.org/10.1109/TCT.1960.1086720}]. The result is illustrated by means of an example.
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Dynamics of cell growth: Exponential growth and division after a minimum cell size
Partial Differential Equations in Applied MathematicsIn this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
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Uncertainty functional differential equations for finance [PDF]
Surveys in Mathematics and its Applications, 2010 In this paper, we prove a local existence and uniqueness result for uncertain functional differential equation driven by canonical process.
Iuliana Carmen Bărbăcioru
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Stability theory for functional-differential equations [PDF]
Transactions of the American Mathematical Society, 1979 We consider a system of functional differential equations x ′ (
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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On some class of functional-differential equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 {In this paper we consider special functional-differential equations arising in geometry for the metric functions. We prove a theorem on the form of the metric functions.
V. A. Kyrov
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On Nonautonomous Functional Differential Equations
Journal of Mathematical Analysis and Applications, 1999 The author investigates the existence of an evolution family for the nonautonomous Cauchy problem \[ x'(t)= A(t) x(t),\quad 0\leq s\leq t\leq T,\quad x(s)= x, \] in a Banach space \(X\). Each \(A(t)\) is a linear operator on \(X\). The following result is obtained: Let \(X\), \(Y\), and \(D\) be Banach spaces, \(D\) densely and continuously imbedded in
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A FLOQUET THEORY FOR FUNCTIONAL DIFFERENTIAL EQUATION [PDF]
Proceedings of the National Academy of Sciences, 1962 Introduction.-Let C denote the space of continuous functions from [-h, 01 into Rm, m-dimensional Euclidean spa.ce, h > 0, with the norm in C given by 111\ = max 1{(u) l, -h s, by x,(u) = x(t + u), -h s u s 0. With this notation (due to Hale4) and the above definitions, we may write the linear functional differential equation with periodic ...
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Controllability of Second Order Functional Random Differential Equations with Delay
, 2022 In this article, we study some existence and controllability results for two classes of second order functional differential equations with delay and random effects. To begin, we employ a random fixed point theorem with a stochastic domain to demonstrate
Abdelkrim Salim +3 more
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