Periodic solutions of singular second order equations at resonance
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| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-4596-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4596-7 | ||
| 245 | 0 | 0 | |a Periodic solutions of singular second order equations at resonance |h [Elektronische Daten] |c [Yin Wu, Ding Qian] |
| 520 | 3 | |a In this paper, we study the existence of positive periodic solutions for singular second order equations $$x'' + \tfrac{{n^2 }} {4}x + h(x) = p(t)$$ , where h has a singularity at the origin and n is a positive integer. We give an explicit condition to ensure the existence of positive periodic solutions when h is an unbounded perturbation at infinity by using qualitative analysis and topological degree theory. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Second order equations |2 nationallicence | |
| 690 | 7 | |a singularity |2 nationallicence | |
| 690 | 7 | |a periodic solutions |2 nationallicence | |
| 690 | 7 | |a resonance |2 nationallicence | |
| 690 | 7 | |a unbounded perturbations |2 nationallicence | |
| 700 | 1 | |a Wu |D Yin |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China |4 aut | |
| 700 | 1 | |a Qian |D Ding |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/10(2015-10-01), 1599-1610 |x 1439-8516 |q 31:10<1599 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4596-7 |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/s10114-015-4596-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wu |D Yin |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Qian |D Ding |u School of Mathematical Sciences, Soochow University, 215006, Suzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/10(2015-10-01), 1599-1610 |x 1439-8516 |q 31:10<1599 |1 2015 |2 31 |o 10114 | ||