Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 863193, 11 pages
doi:10.1155/2010/863193
Resonance and nonresonance periodic value problems of first-order differential systems
Fengqin Zhang
and Jurang Yan
Department of Mathematics, Yuncheng University, Yuncheng, Shanxi 044000, China
Abstract
Resonance and nonresonance periodic value problems of first-order differential systems are studied. Several new existence and uniqueness of solutions for the above problems are obtained. To establish such results sufficient conditions of limit forms are given. A necessary and sufficient condition for existence of nontrivial solution is also proved.