scholarly journals Functionals on normed function spaces and exponential instability of linear skew-product semiflows

2007 ◽  
Vol 14 (2) ◽  
pp. 355-362 ◽  
Author(s):  
Mihail Megan ◽  
Larisa Buliga
Keyword(s):  
Function Spaces ◽  
Skew Product ◽  
Exponential Instability ◽  
Normed Function

Exponential instability of linear skew-product semiflows in terms of Banach function spaces

2004 ◽  
Vol 45 (3-4) ◽  
pp. 309-318 ◽  
Author(s):  
Mihail Megan ◽  
Adina Luminiţa Sasu ◽  
Bogdan Sasu
Keyword(s):  
Function Spaces ◽  
Skew Product ◽  
Banach Function Spaces ◽  
Exponential Instability

scholarly journals Boyd indices for quasi-normed function spaces with some bounds

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Waqas Nazeer ◽  
Qaisar Mehmood ◽  
Abdul Rauf Nizami ◽  
Shin Min Kang
Keyword(s):  
Function Spaces ◽  
Boyd Indices ◽  
Normed Function

Natural ultrabornological, non-complete, normed function spaces

1993 ◽  
Vol 61 (5) ◽  
pp. 465-477 ◽  
Author(s):  
Antonio Gilioli ◽  
Klaus Floret ◽  
Chaim S. H�nig
Keyword(s):  
Function Spaces ◽  
Normed Function

scholarly journals Translation Invariant Spaces and Asymptotic Properties of Variational Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-36 ◽  
Author(s):  
Adina Luminiţa Sasu ◽  
Bogdan Sasu
Keyword(s):  
Control Systems ◽  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Invariant Function ◽  
Function Spaces ◽  
Skew Product ◽  
Translation Invariant ◽  
Variational Equations ◽  
Skew Product Flows ◽  
New Perspective

We present a new perspective concerning the study of the asymptotic behavior of variational equations by employing function spaces techniques. We give a complete description of the dichotomous behaviors of the most general case of skew-product flows, without any assumption concerning the flow, the cocycle or the splitting of the state space, our study being based only on the solvability of some associated control systems between certain function spaces. The main results do not only point out new necessary and sufficient conditions for the existence of uniform and exponential dichotomy of skew-product flows, but also provide a clear chart of the connections between the classes of translation invariant function spaces that play the role of the input or output classes with respect to certain control systems. Finally, we emphasize the significance of each underlying hypothesis by illustrative examples and present several interesting applications.

Some ultrabornological normed function spaces

1997 ◽  
Vol 69 (5) ◽  
pp. 409-417
Author(s):  
Alain Bernard ◽  
Stuart J. Sidney
Keyword(s):  
Function Spaces ◽  
Normed Function

scholarly journals Exponential stability and exponential instability for linear skew-product flows

2004 ◽  
Vol 129 (3) ◽  
pp. 225-243
Author(s):  
Mihail Megan ◽  
Adina Luminiţa Sasu ◽  
Bogdan Sasu
Keyword(s):  
Exponential Stability ◽  
Skew Product ◽  
Skew Product Flows ◽  
Exponential Instability

Function Spaces and Nonsymmetric Norm Preserving Maps

2018 ◽  
Vol 25 (5) ◽  
pp. 729-740
Author(s):  
Hadis Pazandeh ◽  
Fereshteh Sady
Keyword(s):  
Function Spaces

The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2457-2469
Author(s):  
Akhilesh Prasad ◽  
S.K. Verma
Keyword(s):  
Differential Operator ◽  
Function Spaces ◽  
Pseudo Differential Operator ◽  
Test Function ◽  
Basic Properties ◽  
Cone Function ◽  
Translation Operators

In this article, weintroduce a new index transform associated with the cone function Pi ??-1/2 (2?x), named as Mehler-Fock-Clifford transform and study its some basic properties. Convolution and translation operators are defined and obtained their estimates under Lp(I, x-1/2 dx) norm. The test function spaces G? and F? are introduced and discussed the continuity of the differential operator and MFC-transform on these spaces. Moreover, the pseudo-differential operator (p.d.o.) involving MFC-transform is defined and studied its continuity between G? and F?.

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