A lower bound for the stability radius of time-varying systems

Sasu, Adina Luminiţa; Sasu, Bogdan

doi:10.1090/s0002-9939-04-07513-6

Cited by 11 publications

(2 citation statements)

References 19 publications

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“…Sasu and co-workers (38) provided clear evidence that accumulation of infested beetle frass in floral nectaries may also lead to bacterial wilt infection. tracheiphila in frass could play an important role in the pathogen bacterial wilt disease cycle.…”

Section: Discussionmentioning

confidence: 99%

“…The pathogen overwinters in adult beetles ( 12,14,33). Transmission occurs when adults feed on plants; inoculutn from infested frass enters freshly wounded tissues (5,6,22,28,29,34) on leaves, stems, or nectaries of flowers (38). Bacteria enter the vascular system via the.se openings, multiply, and produce exopolysaccharides, which eventually block water flow to the rest of the plant (38).…”

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Epiphytic Survival of Erwinia tracheiphila on Muskmelon (Cucumis melo L.)

Rojas

2012

Plant Disease

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Saalau Rojas, E., and Gleason, M. L. 2012. Epiphytic survival of Erwinia tracheiphila on muskmelon {Cucumis melo L.). Plant Dis. 96:62-66.72 h. In the second experiment, E, tracheiphila was monitored during alternating 12-h wet and dry periods, or eonfinuous wet or dry conditions for 48 h at 20°C. Survival of E. tracheiphila on wet muskmelon leaves depended on temperature {P < 0.01), with the greatest survival at 10 and 15°C and least at 30 and 35°C. Leaf wetness also impacted survival; an initial 12-h dry period resulted in a I.(XK)-to l().t)00-fold reduction in population si/e, followed by stabilization of the surviving population. These results demonstrate that E. tracheiphila can survive on muskmelon leaves under a wide range of environmental conditions, suggesting that epiphytic populations might serve as a reservoir of inoculum for infections.

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Section: Discussionmentioning

confidence: 99%

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Epiphytic Survival of Erwinia tracheiphila on Muskmelon (Cucumis melo L.)

Rojas

2012

Plant Disease

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New criteria for exponential stability of variational difference equations

Sasu

2006

Applied Mathematics Letters

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The aim of this work is to obtain very general characterizations for uniform exponential stability of variational difference equations, using Banach sequence spaces. We prove that a system of variational difference equations is uniformly exponentially stable if and only if there is a Banach sequence space B, with certain properties, such that the set of all vectors with the corresponding orbits contained uniformly in B is of the second category. We apply our result at the study of the uniform exponential stability of linear skew-product flows.

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Exponential stability for linear skew-product flows

Sasu

2004

Bulletin des Sciences Mathématiques

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A lower bound for the stability radius of time-varying systems

Cited by 11 publications

References 19 publications

Epiphytic Survival of Erwinia tracheiphila on Muskmelon (Cucumis melo L.)

Epiphytic Survival of Erwinia tracheiphila on Muskmelon (Cucumis melo L.)

New criteria for exponential stability of variational difference equations

Exponential stability for linear skew-product flows

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