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
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.
About the Series
This event is free and open to the public.
Hosted by the NSU Halmos College of Natural Sciences and Oceanography’s Department of Mathematics, the Mathematics Colloquium Series provides an opportunity for faculty, students, and professionals to showcase research in mathematics and demonstrate how mathematics is applied in a variety of fields. The series aims to increase awareness of mathematics’ importance and applications in daily life. The series also gives mathematics faculty members and students the opportunity to discuss independent research and share their passion for the subject.