Periodic solutions for ordinary difierential equations with sub-linear impulsive efiects

By Dingbian Qian, Xin Li. 2005

146 citations recorded by the source corpus.

Abstract The continuation method of topological degree is used to investigate the existence of periodic solutions for ordinary differential equations with sublinear impulsive effects. The applications of the abstract approach include the generalizations of some classical nonresonance theorem for impulsive equations, for instance, the existence theorem for asymptotically positively homogeneous differential systems and the existence theorem for second order equations with Landesman–Lazer conditions.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4a16856e4640d8b2caa2778a488656b782187a9b

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In Applied Mathematics

In Computational Theory and Mathematics

In Numerical Analysis

Citations in the corpus

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].”
Permanence and Periodic Solution of Predator-Prey System with Holling Type Functional Response and Impulses (2007, background): “The theory of impulsive differential equations is now being recognized to be not only richer than the corresponding theory of differential equations without impulses, but also representing a more natural framework for mathematical modeling of many real world phenomena [19–24].”
On the solvability of periodic boundary value problems with impulse (2007, background): “2 The results of [8], [11], [12] and [17] do not apply to the above example since |f(t, p)| grows more than linearly in |p|.”