Results 41 to 50 of about 5,539,774 (289)
A Hilbert Space Approach to Fractional Differential Equations [PDF]
, 2022 We study fractional differential equations of Riemann–Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on R, we define fractional operators by means of a functional calculus using the Fourier transform.
Diethelm, Kai +5 more
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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
doaj +1 more source
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
doaj
Total stability in abstract functional differential equations with infinite delay
Electronic Journal of Qualitative Theory of Differential Equations, 2000 For functional differential equations with infinite delay in a Banach space, an equivalent relationship between the BC-total stability and the $\rho$-total stability is investigated, and a result due to Murakami and Yoshizawa on functional differential ...
Y. Hino, Satoru Murakami
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Oscillation of certain functional differential equations [PDF]
Computers & Mathematics with Applications, 1994 The author presents several sufficient conditions for all bounded solutions to the linear system of delay differential equations \[ (-1)^{m+1}\frac {d^m y_i(t)}{d t^m}+\sum _{j=1}^{n}q_{ij}y_i(t-h_{ij})=0, \quad m\geq 1,\;i=1,2,\dots,n, \] to be oscillatory.
openaire +1 more source
FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
On Fundamental Solution for Autonomous Linear Retarded Functional Differential Equations
, 2020 This document focuses attention on the fundamental solution of an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, characteristic matrix, resolvent matrix; and the Laplace ...
Clement McCalla
core +1 more source
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
doaj +3 more sources
Structure‐forward targeting of claudins with synthetic binders
FEBS Letters, EarlyView.Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley +1 more source
A Certain Functional–Differential Equation
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources