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A singular functional‐differential equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 The representation of the Hardy‐Lebesque space by means of the shift operator is used to prove an existence theorem for a singular functional‐differential equation which yields, as a corollary, the well known theory of Frobenius for second order differential equations.
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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Functional differential equations—a reciprocity principle
International Journal of Mathematics and Mathematical Sciences, 1986 The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument.
Lloyd K. Williams
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Oscillation of third-order functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The aim of this paper is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation \begin{equation*}\label{E0} \left[a(t)\left[x''(t)\right]^{\gamma}\right]'+q(t)f(x\left[\tau(t)\right])=0.
Blanka Baculíková, Jozef Džurina
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FEBS Letters, EarlyView.Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
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On periods of non-constant solutions to functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We show that periods of solutions to Lipschitz functional differential equations cannot be too small. The problem on such periods is closely related to the unique solvability of the periodic value problem for linear functional differential equations ...
Eugene Bravyi
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Functional differential equations close to differential equations [PDF]
Bulletin of the American Mathematical Society, 1966 when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the ...
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Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
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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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