most citedExistence and Uniqueness Theorems for Differential Equations with Proportional Delay

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math.CA2023★ 2 cited

Existence and Uniqueness Theorems for Differential Equations with Proportional Delay

Prajakta Rajmane, Jayvant Patade, M. T. Gophane

The differential equation (DE) with proportional delay is a particular case of the time-dependent delay differential equation (DDE). In this paper, we solve non-linear DEs with pro…

math.CA2016

Novel Special Function Obtained from a Delay Differential Equation

Sachin Bhalekar, Jayvant Patade

This paper deals with the series solution of a linear delay differential equation (DDE) y'(x) = ay(x)+ by(q x), 0<q<1 with proportional delay. We discuss the convergence of this no…