Positive Solutions with Nonpower Asymptotic Behavior and Quasiperiodic Solutions to an Emden-Fowler Type Higher Order Equations
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2419-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2419-0 | ||
| 100 | 1 | |a Astashova |D I. |u Lomonosov Moscow State University, 119991, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a Positive Solutions with Nonpower Asymptotic Behavior and Quasiperiodic Solutions to an Emden-Fowler Type Higher Order Equations |h [Elektronische Daten] |c [I. Astashova] |
| 520 | 3 | |a We consider the differential equation y (n) = p 0|y| k sgn y, where p 0 > 0 and 12 ≤ n ≤ 14, and prove that there exists k > 1 such that the equation has positive solutions with nonpower asymptotics y(x) = (x ∗ -x) -α h(ln (x ∗ -x)), x < x ∗ , where h is a nonconstant continuous positive periodic function. For n ≥ 2 we prove that such a solution exists, but with an oscillating periodic function h. Bibliography: 8 titles. Illustrations: 1 figure. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 8-23 |x 1072-3374 |q 208:1<8 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2419-0 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2419-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Astashova |D I. |u Lomonosov Moscow State University, 119991, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 8-23 |x 1072-3374 |q 208:1<8 |1 2015 |2 208 |o 10958 | ||