Nesrine, Mahdjoub2024-03-112024-03-112020https://theses.univ-temouchent.edu.dz/opac_css/doc_num.php?explnum_id=3020http://dspace.univ-temouchent.edu.dz/handle/123456789/2927This thesis is devoted to the study of a new type of inequality which is "inequality of Hardy on time scales". First, we define the three typicals Hardy inequalities and their proofs, then we are interested in an application of a type of this inequality on a boundary problem based on the Lax-Miligrame theorem.ime scales, Hardy inequality, Hardy Sobolev inequality, Hardy-Sobolev-Maz’ya in- equality, Linear boundary problem.