On the Number of Zeros of Oscillating Solutions of the Third- and Fourth-Order Equations with Power Nonlinearities

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)
ID: 605521905
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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 
856 4 0 |u https://doi.org/10.1007/s10958-015-2279-7  |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/s10958-015-2279-7  |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