Address.
Mendel University, Department
of Mathematics,
Zemedelska 3, 613 00 Brno, Czech Republic
E-mail. marik@mendelu.cz
Abstract.
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.