In this paper, we show that an unbounded weakly S0-demicompact linear operator T, introduced in [18], acting on a Banach space, can be characterized by some measures of weak noncompactness. Moreover, our results are illustrated to discuss the relationship with Fredholm and upper semi-Fredholm operators as well stability essential spectrum T.

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 8 June 2020Accepted: 14 December 2020Published online: 19 April 2021Keywordstraveling waves, pulled fronts, nonlinear stability, resolvent expansionsAMS Subject Headings35B35, 35K25, 37L15Publication DataISSN (print): 0036-1410ISSN (online): 1095-7154Publisher: Society fo...

conclusions we described successful perioperative management of a child who underwent bilateral laparoscopic cortical sparing adrenalectomy and a repeated surgery for the residual tumor removal. case presentation the child might present with a spectrum of clinical manifestation including hypertension, headache, visual disturbances, and behavioral problems. a meticulous preoperative preparation ...

We investigate essential spectrum of the Euler equation linearized about an arbitrary smooth steady flow in dimension 3. It is proved that for every Lyapunov-Oseledets exponent μ of the associated bicharacteristic-amplitude system, the circle of radius e has a common point with the spectrum. If, in addition, μ is attained on an aperiodic point, then the spectrum contains the entire circle.