caa a22 4500 44583112X CHVBK 20180317145315.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10255-011-0060-3 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0060-3 New approach to differential equations with countable impulses [Elektronische Daten] [Hong-Kun Zhang, Jin-Guo Lian, Jiong Sun] This paper provides a new approach to study the solutions of a class of generalized Jacobi equations associated with the linearization of certain singular flows on Riemannian manifolds with dimension n + 1. A new class of generalized differential operators is defined. We investigate the kernel of the corresponding maximal operators by applying operator theory. It is shown that all nontrivial solutions to the generalized Jacobi equation are hyperbolic, in which there are n dimension solutions with exponential-decaying amplitude. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 countable impulses nationallicence differential operator nationallicence hyperbolic nationallicence Jacobi fields nationallicence hyperbolicity nationallicence differential operators nationallicence Zhang Hong-Kun Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut Lian Jin-Guo Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut Sun Jiong Department of Mathematics, Inner Mongolia University, 010021, Hohhot, Inner Mongolia, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 255-262 0168-9673 27:2<255 2011 27 10255 https://doi.org/10.1007/s10255-011-0060-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0060-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhang Hong-Kun Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut NATIONALLICENCE 700 1- Lian Jin-Guo Department of Mathematics and Statistics, University of Massachusetts, 01003, Amherst, MA, USA aut NATIONALLICENCE 700 1- Sun Jiong Department of Mathematics, Inner Mongolia University, 010021, Hohhot, Inner Mongolia, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 255-262 0168-9673 27:2<255 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer