Analytic solution to functional differential equations via Bell’s polynomials
-
Diego Caratelli
Abstract
It is shown how to approximate the solution of functional differential
equations in terms of Bell’s polynomials. Some numerical checks are shown, by using the computer algebra system Mathematica
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Numerical approaches for solution of hyperbolic difference equations on circle
- A note on b-generalized (α,β)-derivations in prime rings
- Analytic solution to functional differential equations via Bell’s polynomials
- Floquet theory and stability for a class of first order differential equations with delays
- Representations of a number in an arbitrary base with unbounded digits
- V_a -deformed free convolution and variance function
- Generalized essential spectra involving the class of g-g-Riesz operators
- On perturbation of continuous frames in Hilbert C *-modules
- Almost measurable functions on probability spaces
- On φ-u-S-flat modules and nonnil-u-S-injective modules
- Busemann--Petty-type problem for μ-intersection bodies
- On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition
- A generalization of Hardy’s inequality to infinite tensors
- A note on maximal estimate for an oscillatory operator
- Some summation theorems and transformations for hypergeometric functions of Kampé de Fériet and Srivastava
- On the correspondence between periodic solutions of differential and dynamic equations on periodic time scales
Articles in the same Issue
- Frontmatter
- Numerical approaches for solution of hyperbolic difference equations on circle
- A note on b-generalized (α,β)-derivations in prime rings
- Analytic solution to functional differential equations via Bell’s polynomials
- Floquet theory and stability for a class of first order differential equations with delays
- Representations of a number in an arbitrary base with unbounded digits
- V_a -deformed free convolution and variance function
- Generalized essential spectra involving the class of g-g-Riesz operators
- On perturbation of continuous frames in Hilbert C *-modules
- Almost measurable functions on probability spaces
- On φ-u-S-flat modules and nonnil-u-S-injective modules
- Busemann--Petty-type problem for μ-intersection bodies
- On the representation of solution for the perturbed quasi-linear controlled neutral functional-differential equation with the discontinuous initial condition
- A generalization of Hardy’s inequality to infinite tensors
- A note on maximal estimate for an oscillatory operator
- Some summation theorems and transformations for hypergeometric functions of Kampé de Fériet and Srivastava
- On the correspondence between periodic solutions of differential and dynamic equations on periodic time scales
