Par kāda ceturtās kārtas parciālā diferenciālvienādojuma simetriskiem atrisinājumiem
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Latvijas Universitāte
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Abstract
Bakalaura darbā "Par kāda ceturtās kārtas parciālā diferenciālvienādojuma simetriskiem
atrisinājumiem" ir apskatīts Laplasa operators un Laplasa operatoru superpozīcija polārajas un sfēriskajās koordinātās, aplūkoti atbilstošo diferenciālvienādojumu un to problēmu atrisinājumi, īpašu uzmanību pievēršot centrāli simetriskiem atrisinājumiem, kā
arī aplūkoti daži uz Laplasa operatoru reducējami operatori.
Bakalaura darbs sastāv no ievada, 5 nodaļām, secinājumiem (42 lappuses) un literatūras saraksta (8 nosaukumi).
Atslēgas vārdi: Laplasa operators, Laplasa vienādojums, biharmoniskais vienādojums
The Bachelor’s paper "On the simmetric solutions for certain fourth order partial differential equations" examines the development of Laplace operator and special position of Laplace operators for polar and spherical coordinate systems, problems and solutions of differential equations, paying special attention to central symmetrical solutions as well as transformation of another operator similar to Laplace operator. The thesis consists of introduction, 5 chapters and conclusion (42 pages) as well as bibliography (8 titles). Keywords: Laplace operator, Laplace equation, biharmonic equation
The Bachelor’s paper "On the simmetric solutions for certain fourth order partial differential equations" examines the development of Laplace operator and special position of Laplace operators for polar and spherical coordinate systems, problems and solutions of differential equations, paying special attention to central symmetrical solutions as well as transformation of another operator similar to Laplace operator. The thesis consists of introduction, 5 chapters and conclusion (42 pages) as well as bibliography (8 titles). Keywords: Laplace operator, Laplace equation, biharmonic equation