Scientific seminar “Hyperbolic differential-difference equations with nonlocal potentials”
27 April at 12:00 MSK
Topic: Hyperbolic differential-difference equations with nonlocal potentials.
We construct a three-parameter family of smooth solutions for a two-dimensional hyperbolic differential-difference equation considered in a half-plane and containing the sum of a differential operator and shift operators with respect to a spatial variable varying on the entire real axis.
We prove the theorem ithat if the real part of the symbol of the differential-difference operator is positive, then the constructed solutions are classical. We dive classes of equations for which this condition is satisfied.
Zaitseva Natalya V., Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics.