A priori bounds of solutions of the nonlinear integral convolution type equation and their applications

DOI10.1007/BF01208385zbMath0824.45006OpenAlexW2029109789MaRDI QIDQ1896932

M. A. Betilgiriev, S. N. Askhabov

Publication date: 12 September 1995

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208385

zbMATH Keywords

stabilityconvergenceexistencefiltrationa priori boundsuniquenesserror boundshock wavesheat exchangemethod of sequential approximationsnonlinear integral convolution type equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Stability theory for integral equations (45M10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (2)

Nonlinear convolution-type equations in Lebesgue spaces ⋮ Integro-differential equation of the convolution type with a power nonlinearity and an inhomogeneity in the linear part

Cites Work

• Unnamed Item
• Unnamed Item
• Time Dependent Temperature Distribution in Radiating Solids
• On a nonlinear volterra equation
• On a nonlinear convolution equation occurring in the theory of water percolation
• Integral equations of convolution type with power nonlinearity
• On the existence and uniqueness of non-negative solutions of a certain non-linear convolution equation

This page was built for publication: A priori bounds of solutions of the nonlinear integral convolution type equation and their applications