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Vol 11, Issue 2, 2022
Pages: 219 - 232
Professional paper
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INTERNACIONALNI UNIVERZITET TRAVNIK U TRAVNIKU
EKONOMSKI FAKULTET TRAVNIK U TRAVNIKU
PRAVNI FAKULTET TRAVNIK U TRAVNIKU
FAKULTET ZA MEDIJE I KOMUNIKACIJE TRAVNIK U TRAVNIKU

u saradnji sa

MIT UNIVERZITET SKOPLJE, SJEVERNA MAKEDONIJA
VEVU, VELEUČILIŠTE LAVOSLAV RUZIČKA U VUKOVARU, HRVATSKA
VELEUČILIŠTE VIMAL, SISAK, HRVATSKA
CKKPI, TRAVNIK, BOSNA I HERCEGOVINA

organizuju

31. MEĐUNARODNU KONFERENCIJU

EKONOMSKE, PRAVNE I MEDIJSKE INTEGRACIJE BOSNE I HERCEGOVINE I ZEMALJA ZAPADNOG
BALKANA KAO KLJUČNI POKRETAČ EUROPSKIH VRIJEDNOSTI

12. – 13. decembar 2025. godine

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Received: 03.12.2022. >> Accepted: 10.12.2022. >> Published: 17.12.2022. Professional paper

REDUKCIJA SIMETRIJA HAMILTON-JAKOBI-BELMANOVE JEDNAČINE / REDUCTION OF SYMMETRIES OF THE HAMILTON-JAKOBIBELMAN EQUATION

By
Husnija Bibuljica ,
Husnija Bibuljica

Fakultet računarskih Nauka-PIM Istočno Sarajevo Bosnia and Herzegovina

Sead Rešić ,
Sead Rešić

Fakultet računarskih Nauka-PIM Istočno Sarajevo Bosnia and Herzegovina

Samira Aganović
Samira Aganović

Fakultet računarskih Nauka-PIM Istočno Sarajevo Bosnia and Herzegovina

Abstract

We determine the solutions of the nonlinear Hamilton-Jacobi-Bellman equation that arises in the mean-variance hedging modeling under the condition of the terminal condition. First, we establish those forms of the equation that allow the maximum number of symmetries of the Lie point, and then we examine each one in turn. We show that Lie's method is suitable only for the maximal symmetry equation. We point out the applicability of the method to cases in which the parametric function also depends on time.

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