caa a22 4500 477094740 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF03322203 doi (NATIONALLICENCE)springer-10.1007/BF03322203 Baesch Anja Fachbereich Mathematik MA 8-2, D — 10623, TU Berlin, Germany aut On the Explicit Determination of Certain Solutions of Periodic Differential Equations of Higher Order [Elektronische Daten] [Anja Baesch] We consider the class of differential equations % MathType!MTEF!2!1!+-% feaaeaart1ev0aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXanrfitLxBI9gBaerbd9wDYLwzYbItLDharqqt% ubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq% -Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0x% fr-xfr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyuam% aaBaaaleaacaaIXaGaaGimaaqabaGccqGH9aqpciGGSbGaaiOBaiaa% ysW7caWGRbWaaSbaaSqaaiaadsfacaaIXaaabeaakiaac+cacaWGRb% WaaSbaaSqaaiaadsfacaaIYaaabeaakiabg2da9iabgkHiTmaabmaa% baGaamyramaaBaaaleaacaWGHbaabeaakiaac+cacaWGsbaacaGLOa% GaayzkaaGaey41aq7aaiWaaeaadaqadaqaaiaadsfadaWgaaWcbaGa% aGOmaaqabaGccqGHsislcaWGubWaaSbaaSqaaiaaigdaaeqaaaGcca% GLOaGaayzkaaGaai4laiaacIcacaWGubWaaSbaaSqaaiaaikdaaeqa% aOGaaGjbVlaadsfadaWgaaWcbaGaamysaaqabaGccaGGPaaacaGL7b% GaayzFaaaaaa!5C4A! $ y^{(k)}+\Sigma_{k- 2}^{\nu=1}A_{\nu}y^{(\nu)}+A_0(z)y=0\ {\rm where}\ A_{1},\dots,A_{k- 2}$ are constants, k ≥ 3 and where A0(z) is a non-constant periodic entire function, which is a rational function of e z. In this paper we develop a method that enables us to decide if this equation can have solutions with few zeros, and we also present the construction of these solutions. Birkhäuser Verlag, Basel, 1996 Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 43-55 0378-6218 29:1-2<43 1996 29 25 https://doi.org/10.1007/BF03322203 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322203 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Baesch Anja Fachbereich Mathematik MA 8-2, D — 10623, TU Berlin, Germany aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 29/1-2(1996-03-01), 43-55 0378-6218 29:1-2<43 1996 29 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer