Results 41 to 50 of about 1,725,128 (187)
Riccati Differential Equation for Hypergeometric Differential Equation
In this paper, we study the solutions of Riccati differential equation corresponding to p -adic differential equations which are solvable on the generic disc.
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Integral representation of solutions to Fuchsian system and Heun's equation
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
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Nonoscillatory functional-differential equations [PDF]
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
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Van der Pol model in two-delay differential equation representation
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
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Quantized Black Hole and Heun function
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
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On Some Functional-Differential Equation [PDF]
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
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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.
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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
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Discretizing a backward stochastic differential equation
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
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On the fractional Allee logistic equation in the Caputo sense
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
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