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Impulsive periodic solutions of first‐order singular differential equations
Author(s) -
Chu Jifeng,
Nieto Juan J.
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm110
Subject(s) - mathematics , ordinary differential equation , truncation (statistics) , nonlinear system , mathematical analysis , order (exchange) , differential equation , singular solution , finance , economics , statistics , physics , quantum mechanics
In this work, we study the impulsive periodic solutions of first‐order singular ordinary differential equations. The proof is based on a nonlinear alternative principle of Leray–Schauder, together with a truncation technique. Some recent results in the literature are generalized and improved.