Some methods for a Sutô-Aczél project—I
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605508747 | ||
| 003 | CHVBK | ||
| 005 | 20210128100638.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150801xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0310-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0310-6 | ||
| 100 | 1 | |a Lundberg |D Anders |u Flogstav. 5 D, 752 73, Uppsala, Sweden |4 aut | |
| 245 | 1 | 0 | |a Some methods for a Sutô-Aczél project—I |h [Elektronische Daten] |c [Anders Lundberg] |
| 520 | 3 | |a By differentiations we derive from the functional equation $$\varphi (F(x)+G(y))+\psi (H(x)+K(y))-\omega (x+y)=0 \quad \quad \quad \quad (1)$$ φ ( F ( x ) + G ( y ) ) + ψ ( H ( x ) + K ( y ) ) - ω ( x + y ) = 0 ( 1 ) a functional-differential equation, which does not contain $${\varphi ,\psi ,\omega }$$ φ , ψ , ω . If a list [F, G, H, K] of analytic functions satisfies the latter equation, then there are analytic $${\varphi ,\psi ,\omega }$$ φ , ψ , ω such that $${[F,G,H,K,\varphi ,\psi ,\omega]}$$ [ F , G , H , K , φ , ψ , ω ] satisfies (1). This gives rise to a procedure for obtaining all analytic solutions of (1). A few applications of this procedure are shown. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Affine function |2 nationallicence | |
| 690 | 7 | |a Analytic function |2 nationallicence | |
| 690 | 7 | |a Equivalent solutions |2 nationallicence | |
| 690 | 7 | |a Lambert W-function |2 nationallicence | |
| 690 | 7 | |a List |2 nationallicence | |
| 690 | 7 | |a Maple worksheet |2 nationallicence | |
| 690 | 7 | |a Rank (linear) |2 nationallicence | |
| 690 | 7 | |a Solution |2 nationallicence | |
| 690 | 7 | |a Sutô sum |2 nationallicence | |
| 690 | 7 | |a Symmetries |2 nationallicence | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 957-980 |x 0001-9054 |q 89:4<957 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0310-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0310-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Lundberg |D Anders |u Flogstav. 5 D, 752 73, Uppsala, Sweden |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 957-980 |x 0001-9054 |q 89:4<957 |1 2015 |2 89 |o 10 | ||