A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model

DOI10.1017/S0956792510000367zbMath1232.34108OpenAlexW2037927608MaRDI QIDQ3168756

Bruce van Brunt, Graeme C. Wake

Publication date: 19 April 2011

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792510000367

zbMATH Keywords

existence and uniquenessfunctional differential equationsMellin transform solution

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Implicit functional-differential equations (34K32)

Related Items (10)

Modified Chebyshev collocation method for pantograph-type differential equations ⋮ Ritz-generalized Pell wavelet method: application for two classes of fractional pantograph problems ⋮ ON A CELL DIVISION EQUATION WITH A LINEAR GROWTH RATE ⋮ Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation ⋮ Cell Division And The Pantograph Equation ⋮ A CELL GROWTH MODEL ADAPTED FOR THE MINIMUM CELL SIZE DIVISION ⋮ Unnamed Item ⋮ Probability density function solutions to a Bessel type pantograph equation ⋮ ASYMMETRICAL CELL DIVISION WITH EXPONENTIAL GROWTH ⋮ Analysis of the archetypal functional equation in the non-critical case

Cites Work

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• On a Functional Differential Equation
• Some Applications of the Mellin Transform in Statistics
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