| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 733 0 |
 SM ISO690:2012CHOBAN, Mitrofan, SALI, Larisa. On solutions of functional equations with linear translations. In: Annals of the University of Craiova, Mathematics and Computer Science Series, 2018, nr. 2(45), pp. 283-289. ISSN 1223-6934. |
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  Annals of the University of Craiova, Mathematics and Computer Science Series |
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| Numărul 2(45) / 2018 / ISSN 1223-6934 | ||||||
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| Pag. 283-289 | ||||||
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| Rezumat | ||||||
In this paper we study the polynomial functional equations of the form af(a1x+ a0) + bf(b1x + b0) = g(x), where g(x) is a polynomial of the degree n ≥ 0. Theorem 2.3 affirms that the given equation has a unique polynomial solution provided if aa1 i +bb1 i ≠ 0 for each integer i ≥ 0. Other non-polynomial solution depends on solutions of the homogeneous equation af(a1x + a0) + bf(b1x + b0) = 0. |
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| Cuvinte-cheie functional equation, Homogeneous equation, Periodic solution, Polynomial solution |
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