Murakami, Haruo and Nakagiri, Shin-ichi and Yeh, Cheh-chih:
Asymptotic Behavior of Solutions of Nonlinear Functional Equations via Nonstandard Analysis
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 62 (1977), fasc. n.6, p. 749-754, (English)
pdf (375 Kb), djvu (425 Kb). | MR 0487134 | Zbl 0417.34113
Sunto
Gli Autori usano speciali tecniche per trovare alcune proprietà caratteristiche delle soluzioni delle equazioni $$L_{n}x(t) + \delta f (t,x \left[ g_{1}(t) \right], \cdots,x \left[ g_{m}(t) \right]) = h(t) \quad , \qquad \delta = \pm 1.$$
Referenze Bibliografiche
[1]
V. KOMKOV and
C. WAID (
1973) -
Asymptotic behavior of nonlinear inhomogeneous differential equations via nonstandard analysis, «
Ann. Polonici Math.»,
28, 67-87. |
fulltext (doi) |
MR 326067 |
Zbl 0252.34038[2]
V. KOMKOV (
1974) -
Asymptotic behavior of nonlinear inhomogeneous differential equations via nonstrandard analysis, «
Ann. Polo. Math.»,
30, 205-219. |
fulltext (doi) |
MR 344608[3]
H. MURAKAMI,
S. NAGAKIRI and
C. C. YEH -
Asymptotic behavior of solutions of nonlinear differential equations with deviating argummts via nonstandard analysis, «
Ann. Polonici Math.». |
fulltext (doi) |
MR 730303[4]
A. ROBINSON (
1966) -
Introduction to model theory and to the mathematics of algebra,
North Holland, Amsterdam. |
MR 153570[5]
A. ROBINSON (
1966) -
Nonstandard analysis,
North Holland, Amsterdam. |
MR 205854[6] M. SAITO (1976) - Nonstandard analysis (Japanese).
[7]
K. D. STROYAN and
W. A. J. LUXEMBURG (
1976) -
Introduction to the theory of infinitesimal,
Academic Press. |
MR 491163 |
Zbl 0336.26002
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