Results 41 to 50 of about 1,725,128 (187)

Riccati Differential Equation for Hypergeometric Differential Equation

open access: yesRendiconti del Seminario Matematico della Università di Padova, 2012
In this paper, we study the solutions of Riccati differential equation corresponding to p -adic differential equations which are solvable on the generic disc.
openaire   +2 more sources

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

open access: yes, 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   +19 more
core   +1 more source

Nonoscillatory functional-differential equations [PDF]

open access: yesPacific Journal of Mathematics, 1984
Our aim in this paper is to obtain sufficient conditions under which certain functional differential equations have a " large" number of nonoscillatory solutions. Using the characteristic equation of a "majorant" delay differential equation with constant coefficients and Schauder's fixed point theorem, we obtain conditions under which the functional ...
Ladas, G.   +2 more
openaire   +4 more sources

Van der Pol model in two-delay differential equation representation

open access: yesScientific Reports, 2022
The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
doaj   +1 more source

Quantized Black Hole and Heun function

open access: yes, 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   +3 more
core   +1 more source

On Some Functional-Differential Equation [PDF]

open access: yesУчёные 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   +2 more
doaj  

Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

open access: yes, 2015
We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method.
Ho, C. -L., Lee, C. -C.
core   +1 more source

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

open access: yesJournal 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   +6 more
doaj  

Discretizing a backward stochastic differential equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We show a simple method to discretize Pardoux-Peng's nonlinear backward stochastic differential equation. This discretization scheme also gives a numerical method to solve a class of semi-linear PDEs.
Yinnan Zhang, Weian Zheng
doaj   +1 more source

On the fractional Allee logistic equation in the Caputo sense

open access: yesExamples and Counterexamples, 2023
In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
doaj   +1 more source

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