Stability of a Nonlinear Equation Related to a Spatially-inhomogeneous Branching Process

2011 ◽  
pp. 21-32
Author(s):  
S. Chakraborty ◽  
E. T. Kolkovska ◽  
J. A. López-Mimbela
Keyword(s):  
Nonlinear Equation ◽  
Branching Process ◽  
Spatially Inhomogeneous

scholarly journals Some conditions for convergence of the method of iterations for solving a nonlinear equation

2018 ◽  
Author(s):  
Н.И. Федоренко
Keyword(s):  
Nonlinear Equation ◽  
Iterative Method ◽  
Nonlinear Equations ◽  
Mathematical Expectation ◽  
Iteration Method ◽  
Branching Process ◽  
Branching Processes ◽  
Type A ◽  
Majorant Condition

Одной из трудностей, возникающих в связи с использованием ветвящихся процессов для решения нелинейных уравнений является выполнение так называемых мажорантных условий, ответственных за существование и конечность математического ожидания оценок, построенных на траекториях ветвящегося процесса. Вопрос выполнения мажорантного условия тесно связан со сходимостью итерационного метода. В статье рассматриваются некоторые утверждения о сходимости метода итераций для решения нелинейного уравнения одного вида. На примере устанавливается меньшая ограничительность мажорантного условия, соответствующего полученным утверждениям. One of the difficulties arising in connection with the use of branching processes for solving nonlinear equations is the fulfillment of the so-called majorant conditions responsible for the existence and finiteness of the mathematical expectation of estimates built on the trajectories of the branching process. The question of the fulfillment of the majorant condition related to the convergence of the iterative method. The article discusses some of the statements about the convergence of the iteration method for solving a nonlinear equation of the definite type. A less restrictive majorant condition is established on the example.

Some Contributions to the Theory of Near-Critical Bisexual Branching Processes

2007 ◽  
Vol 44 (02) ◽  
pp. 492-505
Author(s):  
M. Molina ◽  
M. Mota ◽  
A. Ramos
Keyword(s):  
Branching Process ◽  
Branching Processes ◽  
Sufficient Conditions ◽  
Positive Probability ◽  
Limit Laws ◽  
Bisexual Branching Processes ◽  
Probabilistic Evolution

We investigate the probabilistic evolution of a near-critical bisexual branching process with mating depending on the number of couples in the population. We determine sufficient conditions which guarantee either the almost sure extinction of such a process or its survival with positive probability. We also establish some limiting results concerning the sequences of couples, females, and males, suitably normalized. In particular, gamma, normal, and degenerate distributions are proved to be limit laws. The results also hold for bisexual Bienaymé–Galton–Watson processes, and can be adapted to other classes of near-critical bisexual branching processes.

Calculation of spatially inhomogeneous electron distribution functions

1998 ◽  
Vol 08 (PR7) ◽  
pp. Pr7-33-Pr7-42
Author(s):  
L. L. Alves ◽  
G. Gousset ◽  
C. M. Ferreira
Keyword(s):  
Electron Distribution ◽  
Distribution Functions ◽  
Spatially Inhomogeneous

Determination of Approximated Root of Nonlinear Equation by Interpolation Technique

2018 ◽  
Vol 50 (001) ◽  
pp. 133-136
Author(s):  
M. B. BROHI ◽  
A. A. SHAIKH ◽  
S. BHATTI ◽  
S. QUERSHI
Keyword(s):  
Nonlinear Equation ◽  
Interpolation Technique

Wideline 2H -NMR Spectroscopy and Imaging of Solids

1994 ◽  
Vol 49 (1-2) ◽  
pp. 19-26 ◽  
Author(s):  
B. Blümich
Keyword(s):  
Nmr Spectroscopy ◽  
Excitation Power ◽  
Magic Angle Spinning ◽  
Magic Angle ◽  
2H Nmr ◽  
Stochastic Excitation ◽  
2H Nmr Spectroscopy ◽  
Spatially Inhomogeneous ◽  
Recent Developments ◽  
Angle Spinning

Abstract Recent developments, focussing on reduction of the rf excitation power by stochastic excitation, on improvements in sensitivity and excitation bandwidth by magic angle spinning, and on combining wideline spectroscopy with spatial resolution for investigations o f spatially inhomogeneous objects are reviewed.

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