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On existence of solutions of a neutral differential equation with deviating argument

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Rzeszów University of Technology, ul. Wincentego Pola 2, 35959, Rzeszów, Poland

    Leszek Olszowy

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  1. Leszek Olszowy
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Correspondence to Leszek Olszowy.

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Olszowy, L. On existence of solutions of a neutral differential equation with deviating argument. Collect. Math. 61, 37–47 (2010). https://doi.org/10.1007/BF03191224

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  • DOI: https://doi.org/10.1007/BF03191224

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