Results 51 to 60 of about 6,821,838 (248)

New Approach on the General Shape Equation of Axisymmetric Vesicles

, 1999
The general Helfrich shape equation determined by minimizing the curvature free energy describes the equilibrium shapes of the axisymmetric lipid bilayer vesicles in different conditions.
Helfrich W., Ou-Yang Z. C., Podgornik R., ZHAN-NING HU, Zheng W. M.   +4 more
core   +1 more source

Differential Equations of General Genus Hyperelliptic $\wp$ Functions [PDF]

arXiv, 2023
We review the Baker's method to obtain differential equations of the general genus hyperelliptic $\wp$ functions. Further, we demonstrate to obtain differential equations of genus four hyperelliptic differential equations, which agree with our previous result.
arxiv  

Quantized Black Hole and Heun function

, 2012
Following the simple proposal by He and Ma for quantization of a black hole(BH) by Bohr's idea about the atoms, we discussed the solvability of the wave equation for such a BH. We superficial solved the associated Schrodinger equation.
D. Momeni, Koblandy Yerzhanov, Myung Y.S., Ratbay Myrzakulov   +3 more
core   +1 more source

In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis

Journal of Pain Research, 2015
Oscar A Linares,1 William E Schiesser,2 Jeffrey Fudin,3–6 Thien C Pham,6 Jeffrey J Bettinger,6 Roy O Mathew,6 Annemarie L Daly7 1Translational Genomic Medicine Lab, Plymouth Pharmacokinetic Modeling Study Group, Plymouth, MI, 2Department of ...
Linares OA, Schiesser WE, Fudin J, Pham TC, Bettinger JJ, Mathew RO, Daly AL   +6 more
doaj  

A stability theory for perturbed differential equations

International Journal of Mathematics and Mathematical Sciences, 1979
The problem of determining the behavior of the solutions of a perturbed differential equation with respect to the solutions of the original unperturbed differential equation is studied.
Sheldon P. Gordon
doaj   +1 more source

Study of Growth of Certain Second Order Linear Differential Equations [PDF]

arXiv, 2023
In this article, we study about the solutions of second order linear differential equations by considering several conditions on the coefficients of homogenous linear differential equation and its associated non-homogenous linear differential equation.
arxiv  

On Some Functional-Differential Equation [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
The necessary and sufficient conditions for the existence and uniqueness of a solution of the problem for the functional-differential equation are established.
N.P. Evlampiev, A.M. Sidorov, I.E. Filippov   +2 more
doaj  

Integral representation of solutions to Fuchsian system and Heun's equation

, 2007
We obtain integral representations of solutions to special cases of the Fuchsian system of differential equations and Heun's differential equation. In particular, we calculate the monodromy of solutions to the Fuchsian equation that corresponds to Picard'
Belokolos, Boalch, Borcea, Dettweiler, Dettweiler, Filipuk, Gesztesy, Kouichi Takemura, Manin, Okamoto, Smirnov, Takasaki, Takemura, Takemura, Takemura, Takemura, Takemura, Takemura, Takemura, Treibich   +19 more
core   +1 more source

Asymptotic Comparison of the Solutions of Linear Time-Delay Systems with Point and Distributed Lags with Those of Their Limiting Equations

Abstract and Applied Analysis, 2009
This paper investigates the relations between the particular eigensolutions of a limiting functional differential equation of any order, which is the nominal (unperturbed) linear autonomous differential equations, and the associate ones of the ...
M. De la Sen
doaj   +1 more source

Nonlinear differential equation with first order partial derivatives

Вестник КазНУ. Серия математика, механика, информатика, 2018
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source