On the Number of Zeros of Oscillating Solutions of the Third- and Fourth-Order Equations with Power Nonlinearities
Gespeichert in:
Verfasser / Beitragende:
[V. Astashova, V. Rogachev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/6(2015-03-01), 733-748
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2279-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2279-7 | ||
| 245 | 0 | 0 | |a On the Number of Zeros of Oscillating Solutions of the Third- and Fourth-Order Equations with Power Nonlinearities |h [Elektronische Daten] |c [V. Astashova, V. Rogachev] |
| 520 | 3 | |a For the generalized Emden-Fowler equation y n = p 0 y k sgn y , n ∈ 3 4 , k ∈ 0 1 ∪ 1 ∞ , p 0 ≠ 0 , $$ \begin{array}{cccc}\hfill {y}^{(n)}={p}_0{\left|y\right|}^k\operatorname{sgn}y,\hfill & \hfill n\in \left\{3,4\right\},\hfill & \hfill k\in \left(0,1\right)\cup \left(1,\infty \right),\hfill & \hfill {p}_0\ne 0,\hfill \end{array} $$ we prove the existence of solutions with a given number of zeros in the domain of definition. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Astashova |D V. |u Lomonosov Moscow State University Russia, 1 Leninskie Gory, 119991, Moscow, Russia |4 aut | |
| 700 | 1 | |a Rogachev |D V. |u Lomonosov Moscow State University Russia, 1 Leninskie Gory, 119991, Moscow, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/6(2015-03-01), 733-748 |x 1072-3374 |q 205:6<733 |1 2015 |2 205 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2279-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Astashova |D V. |u Lomonosov Moscow State University Russia, 1 Leninskie Gory, 119991, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Rogachev |D V. |u Lomonosov Moscow State University Russia, 1 Leninskie Gory, 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 205/6(2015-03-01), 733-748 |x 1072-3374 |q 205:6<733 |1 2015 |2 205 |o 10958 | ||