Periodic boundary value problems for first-order impulsive ordinary differential equations

172 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Periodic solutions for ordinary difierential equations with sub-linear impulsive efiects (2005, background): “See, for instance, Nieto [9–11] by impulsive Green function and fixed point theorem, Dong [2] by topological degree arguments.”
Impulsive periodic boundary value problems of first-order differential equations (2007, result): “In [4,9,10], the authors studied the PBVP of nonlinear problem and got some new results.”
On the solvability of periodic boundary value problems with impulse (2007, background): “Our new results compliment and extend those of [8], [11], [12] and [17] in the sense that we allow super-linear growth of ‖f(t, p)‖ in ‖p‖.”
Singular boundary value problems for first and second order impulsive differential equations (2005, background): “The theory of impulsive equations has received much attention recently (the reader should consult [12, 18] for recent achievements and [16, 20] for the general theory).”
Existence and exponential stability of periodic solution for impulsive delay differential equations and applications (2006, methodology): “Systematic theory and method have been introduced for the study of periodic solutions of impulsive systems without delay (see [4,21,16,17], etc.”
Impulsive periodic solutions of first‐order singular differential equations (2008, background): “During the last two decades, impulsive differential equations have been studied by many authors [9, 18, 23, 24, 27, 28].”