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AN ITERATIVE METHOD FOR THE QUALITATIVE ANALYSIS OF NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

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Abstract

In this paper, the authors studied sufficient conditions to understand the oscillatory behavior of solutions of nonlinear neutral delay (and advanced) differential equation (E) with deviating arguments. Employing Banach fixed point theorem, the authors established the existence of bounded positive solutions of (E). The authors solved various examples using MATLAB software to understand the applications of the main theorems. Moreover, the authors analyzed the effect of delay terms on the behavior of solutions of (E). This paper has improved the results obtained in Basu [2] and Chatzarakis [11].

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Funding

The research is supported by Mahindra University.

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Authors and Affiliations

  1. Department of Mathematics, Mahindra University-Ecole Centrale, School of Engineering, Hyderabad, 500 043, India

    R. Basu & J. Lather

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  1. R. Basu
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  2. J. Lather
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Correspondence to R. Basu.

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Basu, R., Lather, J. AN ITERATIVE METHOD FOR THE QUALITATIVE ANALYSIS OF NONLINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS. J Math Sci 280, 540–552 (2024). https://doi.org/10.1007/s10958-024-06954-z

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