Discrete singular functionals

Robert Marik

Mendel University, Department of Mathematics, Zemedelska 3, 613 00 Brno, Czech Republic

E-mail. marik@mendelu.cz

In the paper the discrete version of the Morse's singularity condition is established. This condition ensures that the discrete functional over the unbounded interval is positive semidefinite on the class of the admissible functions. Two types of admissibility are considered.

AMSclassification. 39A12.

Keywords. Difference equation, half-linear equation, functional, singular functional.