Novel Hardy Type Inequalities via Steklov Operator on Time Scales

Author : Wedad Albalawi

Abstract :This study derives some new Hardy-type inequalities via Steklov operator on time scales in two variables. They are proved by introducing restriction on the operator in several cases. They have been playing a critical role in solution of difference initial-boundary problems and proof the existence and uniqueness properties of solutions. To prove the inequalities, we use some concepts in time scale version such as time scales calculus, theorem of Fubini and the inequality of Holder.

Keywords :Hardy-type inequalities, Steklov operator, time scales, initial-boundary problems, existence and uniqueness

Conference Name :International Conference on Mathematics, Statistics and Applications (ICMSAPP-24)

Conference Place London, UK

Conference Date 12th Nov 2024