On the Cauchy problem for a class of differential inclusions with applications

2019 ◽  
Vol 99 (14) ◽  
pp. 2543-2554 ◽  
Author(s):  
Paolo Cubiotti ◽  
Jen-Chih Yao
Keyword(s):  
Cauchy Problem ◽  
Differential Inclusions ◽  
The Cauchy Problem

scholarly journals On the solution sets to differential inclusions on an unbounded interval

2000 ◽  
Vol 43 (3) ◽  
pp. 475-484 ◽  
Author(s):  
Vasile Staicu
Keyword(s):  
Cauchy Problem ◽  
Differential Inclusions ◽  
Solution Sets ◽  
Unbounded Interval ◽  
The Cauchy Problem ◽  
Image Position ◽  
Derivatives Of

AbstractWe prove that for F: [0,∞) × ℝn → K (ℝn) a Lipschitzian multifunction with compact values, the set of derivatives of solutions of the Cauchy problemis a retract of

scholarly journals A note on the Cauchy problem for differential inclusions

1993 ◽  
Vol 1 (2) ◽  
pp. 315 ◽  
Author(s):  
Marlène Frigon ◽  
Andrzej Granas ◽  
Zine El-Abdin Guennoun
Keyword(s):  
Cauchy Problem ◽  
Differential Inclusions ◽  
The Cauchy Problem

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

Fundamental Serrin type regularity criteria for 3D MHD fluid passing through the porous medium

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1287-1293 ◽  
Author(s):  
Zujin Zhang ◽  
Dingxing Zhong ◽  
Shujing Gao ◽  
Shulin Qiu
Keyword(s):  
Cauchy Problem ◽  
Porous Medium ◽  
Regularity Criterion ◽  
Regularity Criteria ◽  
The Cauchy Problem ◽  
Appl Math

In this paper, we consider the Cauchy problem for the 3D MHD fluid passing through the porous medium, and provide some fundamental Serrin type regularity criteria involving the velocity or its gradient, the pressure or its gradient. This extends and improves [S. Rahman, Regularity criterion for 3D MHD fluid passing through the porous medium in terms of gradient pressure, J. Comput. Appl. Math., 270 (2014), 88-99].

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