A Generalized Index Theorem for Monotone Matrix-Valued Functions with Applications to Discrete Oscillation Theory

2013 ◽  
Vol 34 (1) ◽  
pp. 228-243 ◽  
Author(s):  
W. Kratz ◽  
R. Šimon Hilscher
Keyword(s):  
Index Theorem ◽  
Oscillation Theory ◽  
Monotone Matrix

Amplitude, phase, frequency—fundamental concepts of oscillation theory

1977 ◽  
Vol 123 (12) ◽  
pp. 657 ◽  
Author(s):  
D.E. Vakman ◽  
L.A. Vainshtein
Keyword(s):  
Oscillation Theory

scholarly journals Index theorem on T2/ZN orbifolds

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Makoto Sakamoto ◽  
Maki Takeuchi ◽  
Yoshiyuki Tatsuta
Keyword(s):  
Index Theorem

scholarly journals Second-order impulsive differential systems with mixed and several delays

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shyam Sundar Santra ◽  
Apurba Ghosh ◽  
Omar Bazighifan ◽  
Khaled Mohamed Khedher ◽  
Taher A. Nofal
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Oscillation Theory ◽  
Second Order ◽  
Neutral Delay ◽  
Differential Systems ◽  
Impulsive Differential Systems ◽  
Several Delays ◽  
Necessary And Sufficient

AbstractIn this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations. Our oscillation results complement, simplify and improve recent results on oscillation theory of this type of nonlinear neutral impulsive differential equations that appear in the literature. An example is provided to illustrate the value of the main results.

scholarly journals An index theorem for super derivations

1989 ◽  
Vol 125 (1) ◽  
pp. 147-152
Author(s):  
Arthur Jaffe ◽  
Andrzej Lesniewski
Keyword(s):  
Index Theorem

Bundles over Quantum Sphere and Noncommutative Index Theorem

K-Theory ◽  
2000 ◽  
Vol 21 (2) ◽  
pp. 141-150 ◽  
Author(s):  
Piotr M. Hajac
Keyword(s):  
Index Theorem ◽  
Quantum Sphere
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