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On existence of solutions of a neutral differential equation with deviating argument
Collectanea Mathematica ( IF 1.1 ) Pub Date : 2010 , DOI: 10.1007/bf03191224
Leszek Olszowy

We establish theorems on the existence and asymptotic characterization of solutions of a differential equation of neutral type with deviated argument on neutral type. The mentioned differential equation admits both delayed and advanced arguments. In our considerations we use technique linking measures of noncompactness with the Tikhonov fixed point principle in suitable Frechet space. This approach admits us to improve and extend some results.

中文翻译:

具有偏差变元的中立型微分方程解的存在性。

我们建立了关于中立型变元的中立型微分方程解的存在性和渐近性质的定理。提到的微分方程式既可以接受延迟的参数,也可以接受高级参数。考虑到这一点,我们在适当的Frechet空间中使用了非紧缩性技术与Tikhonov不动点原理的技术链接。这种方法允许我们改善和扩展某些结果。
更新日期:2020-09-21
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