The present invention relates to pyridazinone compounds and their derivatives according to the general formula (I), with the substituents X, R.sup.1 and R.sup.2 defined herein, as well as their physiologically acceptable salts, methods for producing these compounds and their use as pharmaceuticals. ##STR00001## These compounds are kinase inhibitors, in particular inhibitors of the kinase GSK-3.beta. (glycogen synthase kinase-3.beta.) which are useful in the treatment of neurodegenerative diseases such as Alzheimer's disease, Parkinson's disease, strokes, cranial and spinal traumas and peripheral neuropathies, obesity, metabolic diseases, type II diabetes, essential hypertension, atherosclerotic cardiovascular diseases, polycystic ovary syndrome and syndrome X or immunodeficiency.