scholarly journals Decrease the Order of Nonlinear Predictors Based on Generalized-Lipschitz Condition

2021 ◽  
Author(s):  
Majdeddin Najafi ◽  
Mohsen Ekramian
Keyword(s):  
Lipschitz Condition ◽  
Generalized Lipschitz Condition

scholarly journals Symmetric Fuzzy Stochastic Differential Equations with Generalized Global Lipschitz Condition

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 819
Author(s):  
Marek T. Malinowski
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Lipschitz Condition ◽  
Stability Of Solution ◽  
Approximation Sequence ◽  
Symmetric Set ◽  
Generalized Lipschitz Condition ◽  
And Diffusion

The paper contains a discussion on solutions to symmetric type of fuzzy stochastic differential equations. The symmetric equations under study have drift and diffusion terms symmetrically on both sides of equations. We claim that such symmetric equations have unique solutions in the case that equations’ coefficients satisfy a certain generalized Lipschitz condition. To show this, we prove that an approximation sequence converges to the solution. Then, a study on stability of solution is given. Some inferences for symmetric set-valued stochastic differential equations end the paper.

Titchmarsh's theorem of Hankel transform

2019 ◽  
pp. 11-24
Author(s):  
Mohamed-Ahmed Boudref
Keyword(s):  
Number Theory ◽  
Data Analysis ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Lipschitz Condition ◽  
Analytic Number Theory ◽  
Hankel Transform ◽  
Partial Differential ◽  
Analytic Number ◽  
Bessel Transform

Hankel transform (or Fourier-Bessel transform) is a fundamental tool in many areas of mathematics and engineering, including analysis, partial differential equations, probability, analytic number theory, data analysis, etc. In this article, we prove an analog of Titchmarsh's theorem for the Hankel transform of functions satisfying the Hankel-Lipschitz condition.

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