Explicit solutions of Volterra integro-differential convolution equations

DOI10.1016/j.jde.2021.05.023zbMath1473.45005OpenAlexW3160756837MaRDI QIDQ2034036

Maciej Wiśniewolski, Jacek Jakubowski

Publication date: 18 June 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.05.023

zbMATH Keywords

biconvolution algebraVolterra integro-differential equation of convolution type

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (2)

The explicit solutions for a class of fractional Fourier–Laplace convolution equations ⋮ On the probabilistic representations of solutions of pantograph equations and triangle coefficients

Cites Work

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• The spectral methods for parabolic Volterra integro-differential equations
• Discretization with variable time steps of an evolution equation with a positive-type memory term
• A convolution formula for the local time of an Itô diffusion reflecting at 0 and a generalized Stroock-Williams equation
• A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions
• Discontinuous Galerkin method for an evolution equation with a memory term of positive type
• Volterra integral equations of the first kind and applications to linear diffusions
• Local times for Markov processes
• On Linear Volterra Integral Equations of Convolution Type

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