Quasidifferentiable Optimization: Dini Derivatives, Clarke Derivatives

2012 ◽  
Keyword(s):  
Dini Derivatives ◽  
Clarke Derivatives

Derivatives of Hadamard type in vector optimization

2018 ◽  
Vol 68 (2) ◽  
pp. 421-430
Author(s):  
Karel Pastor
Keyword(s):  
Nonlinear Analysis ◽  
Optimality Conditions ◽  
Vector Optimization ◽  
Optimality Condition ◽  
Optimization Problem ◽  
Vector Optimization Problem ◽  
Dini Derivatives ◽  
Scalar Optimality ◽  
Derivatives Of

Abstract In our paper we will continue the comparison which was started by Vsevolod I. Ivanov [Nonlinear Analysis 125 (2015), 270–289], where he compared scalar optimality conditions stated in terms of Hadamard derivatives for arbitrary functions and those which was stated for ℓ-stable functions in terms of Dini derivatives. We will study the vector optimization problem and we show that also in this case the optimality condition stated in terms of Hadamard derivatives is more advantageous.

Dini derivatives in optimization — Part III

1995 ◽  
Vol 18 (1) ◽  
pp. 47-63 ◽  
Author(s):  
Giorgio Giorgi ◽  
Sándor Komlósi
Keyword(s):  
Dini Derivatives

scholarly journals Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses

2019 ◽  
Vol 3 (2) ◽  
pp. 28 ◽  
Author(s):  
Snezhana Hristova ◽  
Krasimira Ivanova
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Finite Time ◽  
Lyapunov Functions ◽  
Random Variable ◽  
Time Intervals ◽  
Caputo Fractional Differential Equations ◽  
Fractional Differential ◽  
Dini Derivatives ◽  
Moment Exponential Stability

The p-moment exponential stability of non-instantaneous impulsive Caputo fractional differential equations is studied. The impulses occur at random moments and their action continues on finite time intervals with initially given lengths. The time between two consecutive moments of impulses is the Erlang distributed random variable. The study is based on Lyapunov functions. The fractional Dini derivatives are applied.

POROSITY ESTIMATES FOR THE DINI DERIVATIVES

1983 ◽  
Vol 9 (2) ◽  
pp. 508
Author(s):  
Bruckner ◽  
Thomson
Keyword(s):  
Dini Derivatives

On Dini derivatives and on a property of denjoy

1970 ◽  
Vol 74 (4) ◽  
pp. 323-329 ◽  
Author(s):  
N. C. Manna
Keyword(s):  
Dini Derivatives
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