Robni problemi za nelinearne diferencialne enačbe drugega reda
Hladnik, Milan
Sestavek obravnava na elementaren način teorijo eksistence in enoličnosti za robni problem, pripadajoč navadni diferencialni enačbi drugege reda ▫$y''+ f(t,y,y') = 0$▫. Pri tem se skoraj izključno ...omejuje na robne pogoje oblike ▫$y(a) = A, \; y(b) = B$▫ (prve vrste) in ▫$y(a) = A, \; y'(b) = m$▫ ali ▫$y'(a) = m, \; y(b) = B$▫ (druge vrste). Numeričnih metod za reševanje ne navaja. Medtem, ko drugi razdelek uporablja pri eksistenčnem dokazu princip o skrčenih slikah, pa ostala poglavja razvijajo eksistenčno teorijo s pomočjo ustreznih začetnih problemov. Glavni rezultat je priporočen kriterij, ki nam napove, kako velik je lahko še interval, da na njem eksistira ena sama rešitev robnega problema.
Type of material - book
Publication and manufacture - Ljubljana : FNT, Odsek za matematiko, 1972
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