Differential equations on complex-analytic manifolds, and the Maslov canonical operator

1988 ◽  
Vol 43 (3) ◽  
pp. 117-148 ◽  
Author(s):  
B Yu Sternin ◽  
V E Shatalov
Keyword(s):  
Differential Equations ◽  
Maslov Canonical Operator ◽  
Canonical Operator

scholarly journals Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1323
Author(s):  
Shyam Sundar Santra ◽  
Rami Ahmad El-Nabulsi ◽  
Khaled Mohamed Khedher
Keyword(s):  
Differential Equations ◽  
Necessary Conditions ◽  
Second Order ◽  
Multiple Delays ◽  
Mixed Delays ◽  
Neutral Differential Equations ◽  
Canonical Operator ◽  
Second Order Differential Equations ◽  
The Future ◽  
Sufficient And Necessary Conditions

In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator. Our methods could be applicable to find the sufficient and necessary conditions for any neutral differential equations. Furthermore, we proved the validity of the obtained results via particular examples. At the end of the paper, we provide the future scope of this study.

New integral representations of the Maslov canonical operator in singular charts

2017 ◽  
Vol 81 (2) ◽  
pp. 286-328 ◽  
Author(s):  
S Yu Dobrokhotov ◽  
V E Nazaikinskii ◽  
A I Shafarevich
Keyword(s):  
Integral Representations ◽  
Maslov Canonical Operator ◽  
Canonical Operator

Representations of rapidly decaying functions by the Maslov canonical operator

2007 ◽  
Vol 82 (5-6) ◽  
pp. 713-717 ◽  
Author(s):  
S. Yu. Dobrokhotov ◽  
B. Tirozzi ◽  
A. I. Shafarevich
Keyword(s):  
Maslov Canonical Operator ◽  
Canonical Operator

New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems

2015 ◽  
Vol 92 (2) ◽  
pp. 548-553 ◽  
Author(s):  
A. I. Allilueva ◽  
S. Yu. Dobrokhotov ◽  
S. A. Sergeev ◽  
A. I. Shafarevich
Keyword(s):  
Hyperbolic Systems ◽  
Asymptotic Solutions ◽  
Maslov Canonical Operator ◽  
Canonical Operator

Representation of Bessel functions by the Maslov canonical operator

2021 ◽  
Vol 208 (2) ◽  
pp. 1018-1037
Author(s):  
S. Yu. Dobrokhotov ◽  
D. S. Minenkov ◽  
V. E. Nazaikinskii
Keyword(s):  
Bessel Functions ◽  
Maslov Canonical Operator ◽  
Canonical Operator
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