Volterra integro-differential equation of arbitrary order with power nonlinearity

DOI10.22405/2226-8383-2023-24-4-85-103MaRDI QIDQ6498967

S. N. Askhabov

Publication date: 8 May 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)

zbMATH Keywords

a priori estimatespower nonlinearityVolterra integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

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• Integro-differential equation of the convolution type with a power nonlinearity and an inhomogeneity in the linear part
• Propagation of simple non-linear waves in gas filled tubes with friction
• The general solution of a non-linear integral equation of convolution type
• Bielecki's method, existence and uniqueness results for Volterra integral equations in \(L^ p\) space
• Volterra Integral Equations
• Volterra integral equation with power nonlinearity

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