Principal and nonprincipal solutions of impulsive differential equations with applications
Principal and nonprincipal solutions of impulsive differential equations with applications
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DOI：
10.1016/j.amc.2010.02.008
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发表时间：
2010-04
期刊：
影响因子：
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通讯作者：
A. Özbekler;A. Zafer
中科院分区：
文献类型：
--
作者：
A. Özbekler;A. Zafer
引入了具有固定脉冲作用矩的二阶微分方程的主解和非主解的概念，得到了它们的主解和非主解。参数是基于波利亚和战壕因子分解在非脉冲微分方程，所以我们首先建立这些因子分解。利用非主解的存在性，我们还建立了非齐次脉冲微分方程新的振动准则。数值模拟的例子来说明结果的相关性。
We introduce the concept of principal and nonprincipal solutions for second order differential equations having fixed moments of impulse actions is obtained. The arguments are based on Polya and Trench factorizations as in non-impulsive differential equations, so we first establish these factorizations. Making use of the existence of nonprincipal solutions we also establish new oscillation criteria for nonhomogeneous impulsive differential equations. Examples are provided with numerical simulations to illustrate the relevance of the results.