scholarly journals The exotic heat-trace asymptotics of a regular-singular operator revisited

2013 ◽  
Vol 54 (6) ◽  
pp. 063501 ◽  
Author(s):  
Boris Vertman
Keyword(s):  
Singular Operator ◽  
Heat Trace

A vector p-Laplacian type approach to multiple periodic solutions for the p-relativistic operator

2017 ◽  
Vol 19 (03) ◽  
pp. 1650029 ◽  
Author(s):  
Petru Jebelean ◽  
Jean Mawhin ◽  
Călin Şerban
Keyword(s):  
Differential Operator ◽  
Periodic Solutions ◽  
Differential Inclusions ◽  
Singular Operator ◽  
Multiple Periodic Solutions ◽  
Vector Formula

We prove the existence of at least [Formula: see text] geometrically distinct [Formula: see text]-periodic solutions for a differential inclusions system of the form [Formula: see text] Here, [Formula: see text] is a monotone homeomorphism, [Formula: see text] is periodic with respect to each component of the second variable and [Formula: see text] stands for the generalized Clarke gradient of [Formula: see text] at [Formula: see text]. The monotonicity assumptions on [Formula: see text] highlight the vector [Formula: see text]-Laplacian as being the prototype differential operator. The main interesting feature of this approach is that it also provides a useful framework to treat the case of the [Formula: see text]-relativistic singular operator.

A new fractional HRSV model and its optimal control: A non-singular operator approach

2020 ◽  
Vol 547 ◽  
pp. 123860 ◽  
Author(s):  
Amin Jajarmi ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu ◽  
Mustafa Inc
Keyword(s):  
Optimal Control ◽  
Singular Operator ◽  
Operator Approach
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