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This version of NSU News has been archived as of February 28, 2019. To search through archived articles, visit nova.edu/search. To access the new version of NSU News, visit news.nova.edu.
This version of SharkBytes has been archived as of February 28, 2019. To search through archived articles, visit nova.edu/search. To access the new version of SharkBytes, visit sharkbytes.nova.edu.
Faculty and Students Invited to Next Mathematics Colloquium Series Discussion, Feb. 18
G. Bhaskar Tenali, Ph.D.
The next talk of the Mathematics Colloquium Series will focus on “Existence Results for Functional Dynamic Equations with Delay.”
Guest Speaker: G. Bhaskar Tenali, Ph.D., professor (Florida Institute of Technology)
Thursday, February 18
Noon–1:00 p.m.
Mailman-Hollywood Building Auditorium, Second Floor
Time scale, arbitrary nonempty closed subset of the real numbers (with the topology and ordering inherited from the real numbers), is an efficient and general framework to study different types of problems, discover the commonalities, and highlight the essential differences. Sometimes, an appropriate time scale must be chosen to establish parallels to known results.
This talk will present a few recent results from the existence theory of functional dynamic equations, including a few (counter) examples. In particular, the speaker will discuss first-order functional dynamic equations with delay xDelta(t)=f(t,xt) on a time scale. Here, xt is in Crd([-tau,0],Rn) and is given by xt(s)=x(t+s), -tau < s< 0. The talk will consider an appropriate timescale in which delay equations can be studied meaningfully, establish an existence result for problem solutions, and present a few examples.